book-recommendations

[gray gazelle]

college

yes i think i will go with stewart calculus 8th edition

no early transcedentals

i dont even know what that means XD

ye im doing 1st year engineering

[rose talon]

Stewart will definitely give you enough

[gray gazelle]

on my course outline it the book my teacher uses is Adams and Essex calculus

but i cant find it anywhere

[wide anvil]

I'm also looking to speed learn measure theory and Lebesgue measure, l^p spaces on the side pls.

Wait @rose talon did you finish grad school?

Or ur entering grad school?

If it's the former, I can understand... It's going to be not worth it for you since you know grad RA

I think pending postgraduate means the former

Sry

@rose talon sorry for asking you that. Please feel comfortable to say 'no' if you don't want to study together. I hope I didn't upset you. please talk 🥺

since you took calc in high school, it would be considered 'advanced'. but it's not 'honors'.

[rose talon]

Lol it’s all good, I’m running errands rn so I’m responding a little slowly

I’m starting grad school

I’m probably too busy to do an independent study rn

[hollow basin]

I want a book to learn python 😭

Any suggestions?

[wide anvil]

😭

I'll also cry since you're crying

it's contagious

[wide anvil]

oooh CONGRATS. where?

I have actually yet to meet someone here from my school

[spiral patio]

Illustrated guide to python 3 by Matt Harrison

Or Automate the Boring Stuff

The first book is cheaper and smaller. Its probably the best one if you already know coding.

The second book is 400 pages long and has many practical projects like web scraping, manipulation data, sending emails etc etc

So essentially in the second book you learn python by doing python. The first chapter introduces basic syntax and then u get right into projects

The first book is more concise and theoretical (around 200 pages). It focuses entirely on syntax. As i said, its probably more suited to someone who has coded already

[rose talon]

Ucsb

[wide anvil]

noice

I ain't in a uc tho. am in the east cost 😭 we're light years apart :(

[formal parcel]

@wide anvil I asked about geometry textbooks to help with calculus. Id like to add on to this question and this is semi related to book reccomendations but just a general question overall. Im scared ill struggle with understanding the future word problems Ill encounter in math. Are the algebraic word problems in pre calculus things that will come up in calculus or other classes in the future or should I prepare myself for new types of problems? For example stuff like mixture problems and work/time problems.

Also this question is a follow up to lisph's statement earlier but if anyone is able to answer this, i appreciate anyone's comment.

[wide anvil]

bro

you think you're scared?

[mossy flume]

word problems will come up in all your math classes

[wide anvil]

trust me you'll be fine

if you only knew my current situation....

[formal parcel]

yes but i mean specifically ones you go through in like algebra classes. or is it going to be new ones

[mossy flume]

idk what's in your algebra class

but probably some ideas from those, some new problems

[wide anvil]

here's my current situation @mossy flume self taught ra, ode. for a class that requires both as prereq. will I be fine?

[formal parcel]

mixture problems, time to do a job problems, interest,

[mossy flume]

I mean think about prior math classes you've done, you saw new word problems each time you started a new class right?

[molten gulch]

What is the name of this course? -Astrid

[wide anvil]

Partial Differential Equations but with theory

may the Lord have mercy on my sould

[molten gulch]

You should have a strong background in real analysis and ordinary differential equations

[wide anvil]

I'm confident in the ODE part. I'm very nervous about proofs though....

[molten gulch]

Then you should practice RA proofs

[wide anvil]

yeah.. but anyways... this is what I'm trying to say... @formal parcel shouldn't be worried about the type of word problems that'll appear in calc 1

[brazen mason]

are we allowed to ask for pdfs of books and if so is it in this channel?

[formal parcel]

i really have a lot to cover and remember in my algebra review and ive been stuck on word problems a lot and i was wondering if i could just move on to other things i need to review

[wide anvil]

nah. word problems will only appear in a very small unit of ur larger calc class

think word problems like 1/10ths of ur whole calc class

@molten gulch what year are you?

[molten gulch]

Started 3rd year CS yesterday

[wide anvil]

Highest math class?

[molten gulch]

Calculus 3 and linear algebra

[wide anvil]

What kinda math do you take in CS?

[normal crystal]

that schedule you posted didn't really look like junior year cs🤔

[wide anvil]

Where's it?

[molten gulch]

Failed first semester abour 2 years ago so everything got thrown off a lot

[molten gulch]

Linear Algebra
English
History
C programming
Discrete Mathematics

[normal crystal]

most(decent) degrees are min calc 1,2, discrete/probability, maybe linear algebra

[normal crystal]

I was surprised C programming was s full course

[molten gulch]

We have calc 1-3, discrete, linear, probability and statistics, numerical analysis

Many students also take differential equations, proofs, and either real analysis or abstract algebra on their own accord to fulfil the math minor requirement

[wide anvil]

Ik. Intro College CS courses are a huge waste of time. I actually want to skip many of the intro programming courses 😞☹️ but I don't think my advisor will let me.

I'm pretty proficient in programming

[rain hound]

They’re a waste of time for people ahead of their game and come into college already knowing how to program. The same is true of intro calculus and anyone who already knows calculus. But the assumption a college makes (which is a good one imo) is no background. They should have test out options for people who are ahead, but it makes sense to have these intro courses.

Also often these courses will be useful to people outside the major taking them.

[molten gulch]

We are slowly losing it in our into C programming course rn, we could probs pass the final given it today yet we can't test out of this damn class

And by rn I mean from 830 to 1030 this morning, professor is fine but the material is everything we already know

[rain hound]

The python docs are a good place to start: https://www.python.org/doc/

they list a lot of resources for people at a variety of different levels. They list books under the moderate section. I also think the documentation itself is pretty good, but it might be a bit too thorough if you’ve never programmed before and then a book or beginner tutorial is helpful (see their beginner’s guide)

[wide anvil]

J feel free to talk to me bro. C was my first language

DM me if you need help

[molten gulch]

Alright I guess

[molten gulch]

C is easy, but C++ template params....hah.....yeah we're not funny

[hallow crater]

Any good math book? that arent textbook style

[molten gulch]

For what

[hallow crater]

Any topic

[glossy sorrel]

Stephen Abotts understanding analysis is great.

If you’re not good at proof based maths you can learn linear with strangs linear book

MIT 18.06 OCW by Herb Gross is great, as is his whole calculus revisited series

[hallow crater]

Thanks m8

[charred osprey]

https://stacks.math.columbia.edu/
Is this like the algebraic geometry version of nLab?

[gray gazelle]

Books guided by questions?
Most of the books follow the Euclidean style of definitions, theorems, and proofs. But what are some books that emphasize the original purpose behind the presented theorems, definitions, etc? (the research question that motivates a topic or result)

[timber mesa]

one I really like in this style is this Russian topology textbook https://bookstore.ams.org/mbk-54/

another one that talks about the history of the subject every now and then is Abbott's Understanding Analysis

[gray gazelle]

gracias

[dapper root]

I guess you can say that

They’re pretty different in some ways though

nLab is edited by a lot of ppl, stacks project is 99.99% just Johan

[willow merlin]

is there any motivational math books for people who are bad at math but they like it

[weary fox]

any textbook that covers extensively matrices, matrix operations, and their connections to linear transformations? I feel like out of everything in my linalg course, i have the worst intuition for matrices... I would love a book that can help me get more comfortable with working with them

[proven lantern]

I recommend hoffman & kunze because I am doing it. Covers all the way up to Jordan Canonical forms and stuffs

[weary fox]

thanks man, will check it out :)

[willow merlin]

is there any book for people that are bad at math but want to do less bad

[remote sparrow]

#book-recommendations message

[chrome wasp]

Friedberg, insel, spence linear algebra

[thorn glen]

anyone suggest me a book of Mathematics for JEE Advanced

[dreamy linden]

Doesn't that basically means that you need to start from beginner math books?

I didn't have a good foundation in Math. So I'm starting from good beginner books. With Discrete Mathematics first. So far so good

[willow merlin]

which discrete math reference are you using

yeah from the ground up

Rosen (?

[dreamy linden]

I'm using Discrete Mathematics with its Applications by Susanna Epp. Latest edition

[dreamy linden]

I heard that's a good one as well. But I started with Epp.'s and I'm understanding well

You can start and read both books and see which one you like. I have a PDF for it

[willow merlin]

okay thanks for the heads up I will give them a read

[celest estuary]

I am seeing geldand and fomin In book suggestions of calculus of variation in this channel

How is this book

Some review

[candid creek]

real analysis book recommendations everyone?

with worked solutions ideally

[wind hazel]

Has anyone read Discrete Math by Susanna Epp here? Is it a good Discrete Math textbook?

[toxic willow]

#book-recommendations message

[fresh skiff]

It is measure theory

[fresh skiff]

For the first encounter, Abbott is considered a friendly textbook.

[vital bane]

this

Stephen Abbott's Understanding Analysis is the best UG math book ever

If you read it, that's what will happen, you will understand analysis

[gloomy spire]

What’s brown and Churchill like? Will I leave my class with a sufficient understanding of complex analysis?

[remote sparrow]

#book-recommendations message

it's concise and you'll have an undergraduate understanding of complex analysis

it's a standard textbook at many places

[gloomy spire]

Any better or worse than other standard undergraduate books?

Trying to decide if I should read another one on the side

[remote sparrow]

#book-recommendations message

[torpid stump]

Differential equations book recommendations?

[molten gulch]

boyce and diprima
nagle saff and snider

[torpid stump]

K will check out

Do you recommend using only books or books and khan academy

[molten gulch]

does khan do diffeq? idk

We also recommend going through paul's online maths notes on ordinary differential equations

https://tutorial.math.lamar.edu/classes/de/de.aspx

[torpid stump]

Ok

Thanks

[glossy sorrel]

I wouldn’t go thaaat far but it’s a damn good book and it’s a life saver

One never understands analysis

[wide dock]

ANY books for mathematics olympiad

like ioqm and astronomy

[umbral field]

https://www.khanacademy.org/math/differential-equations

[wide dock]

for jee advanced what guides should preferred

[umbral field]

as with any of khan's undergrad-level courses, it's pretty barebones

[wide dock]

for geometry and binomial

[foggy quest]

https://mtaylor.web.unc.edu/notes/linear-algebra-notes/

[foggy quest]

https://mtaylor.web.unc.edu/notes/math-524-second-semester-ode/

[keen pebble]

Not a book but im looking for free lectures on abstract linear algebra, who can recommend me some?

[silent hornet]

guys, i'm studying accounting and i want to learn financial mathematics from basic. so can anyone recommend me book or some course on youtube?

[fresh burrow]

whats a good set theory book for absolute beginners?

i already checked out "naive set theory (halmos)", "elements of set theory (enderton)", "a mathematical introduction to logic (enderton)", but theyre all too high level for what im looking for

im looking for something with more examples, exercises, and more approacheable for people who havent even begun studying maths on an undergraduate level

[floral lantern]

Look at an intro proofs book

I like “an introduction to mathematical reasoning”

Others like other books

[rugged lance]

pugh real analysis super cool imo

[fresh burrow]

lol i thought of "book of proof" myself

also just stumbled upon this gem https://st.openlogicproject.org/

[willow merlin]

best book for learning algebra ?

[stuck zephyr]

which algebra?

[marsh ingot]

Abstract algebra or linear algebra?

[willow merlin]

linear algebra basics

[mossy flume]

Friedberg, Insel, and Spence

[rain hound]

Linear Algebra Done Wrong by Treil for the first dose

Linear Algebra Done Right by Axler for the second dose

both are available for free on their websites

[uncut nest]

any reccomendations for a book on lattices?

[remote sparrow]

#book-recommendations message

#book-recommendations message

[uncut nest]

thanks

[marble solar]

Khan Academy is bad for Diffy Qs

[gray gazelle]

who has read “Vector Calculus, Linear Algebra and Differential Forms: A Unified Approach” Hubbard and Hubbard? Is it beginner friendly like for ppl who are just learning diff eq and multivariable/vector calc

[rose talon]

its a decent book but i would use something like stewart for a first course in vector calc

are you already familair with vector calc at all?

i would not recommend hubbard for learning differential forms (but some people might find it good) or a first course in vector calc

[cursive rivet]

I think it's a good book at what it's trying to teach (though quite dense and has a strange selection of topics), but what it's trying to teach isn't really the classical multivariable calculus and vector calculus that (for example) an engineer would need or want

instead it uses the (relatively modern) language of linear algebra, manifolds, and differential forms, which includes the more classical multivariable calculus and vector calculus, but from a more abstract perspective that is harder to grasp at first

[remote sparrow]

the book does not teach differential equations

[gray gazelle]

lol differential forms threw me off

[gray gazelle]

learning rn 😔

[rose talon]

then don't use hubbard, use stewarts multivariable calc

[remote sparrow]

by "learning rn" are you learning in a classroom setting?

if you're curious to try learning how to read and write proofs on your own time, you can feel free to try your hand

[weary agate]

Hello trying to find good books on knot theory

[marble solar]

Justin Roberts Knots Knotes is a great one

[weary agate]

Thanks

[marble solar]

https://mathweb.ucsd.edu/~justin/Roberts-Knotes-Jan2015.pdf

This is probably the most approachable one that isn't 1) too hard on topology 2) too trivial where nothing is covered

[weary agate]

Yes this is just what I’m looking for

[marble solar]

If you're trying to learn, I really recommend practicing drawing the knots in the book

When you get to the Jones polynomial stuff, really practice computing it by hand a few times for yourself

[weary agate]

Ok

[willow merlin]

is there any motivational math books for people that are bad at math

[full cairn]

It's not exactly a motivational book, but maybe Mathematics for Human Flourishing

[nimble osprey]

Suggestion for Linear Algebra?

Something that includes exercises and problems as well

[glossy sorrel]

Undergrads will never escape having atleast one Stewart book

[radiant pilot]

Has anyone read the book "The Calculus Lifesaver"? Is it suitable for beginners to learn calculus?

Well, I don't know about this book.

Is it excellent?

Since I only had one year, I didn't know how to understand and learn calculus quickly.

[dense loom]

"everything you need to ace math in one big fat notebook" (see archive.org)

[thin swan]

FICTION BOOKS RECOMMEND PLS

[radiant pilot]

https://tenor.com/view/roomba-cat-gif-19926065

[rain hound]

A friend got me started reading the discworld series recently and it’s a lot of fun. I’ve only read a couple books so far but I’d recommend it.

[radiant pilot]

Oh, my God, I don't even know which book calculus recommends.

è vertiginoso.

[remote sparrow]

kingkiller chronicles

[green wolf]

Stewart I guess? I don’t recommend books for Calculus, just watch Professor Leonard or something

[willow merlin]

Which book has hard problems on finding vector subspaces

That meet certain criteria

[inland fractal]

Does anyone know a safe place to get a PDF of Stewart Essential Calculus 2nd ed? I haven't had much luck, one site had it but was already rented out

[tribal crow]

heads up, we can't discuss piracy or namedrop shadow libraries on this server

[inland fractal]

alright, sorry

[tribal crow]

no worries, but you should probably remove those site names from your message

[inland fractal]

done

[dapper root]

Bruh wtf is this nsfw icon next to your name

[cursive rivet]

I like Sergei Treil's Linear Algebra Done Wrong for a first exposure that's proof based, another common recommendation is Friedberg, Insel, Spence's Linear Algebra

for a second course, people like Axler's Linear Algebra Done Right or Hoffman & Kunze's Linear Algebra (the latter is my choice in terms of topics covered, but I don't love the writing)

all of these have lots of exercises

[hollow drum]

Can someone recommend reading material for lie groups and lie algebras? I'm particularly interested in applications and context to accompany a class on the classification of simple lie algebras over C.

[cursive rivet]

for the representation theory, Fulton & Harris (Part I is finite group representation theory though, which is good to explain the basic principles but you probably don't need).

for the analysis and geometry of Lie groups and Lie algebras (but none of the algebra you would need in the classification), I really like Lee's coverage in Introduction to Smooth Manifolds (particularly chapters 7, 8, 20, 21 have most of it, but obviously refer to stuff from the rest of the book)

[rough umbra]

fwiw ive seen axler used as a first course

my linalg 1 used axler, I really liked it

[foggy quest]

https://mtaylor.web.unc.edu/notes/lie-groups-and-representation-theory/

[willow merlin]

was is the toughest linear algebra intro book?

[hollow drum]

Wow that's a great link thank you

[hollow drum]

Thanks I'm going through them a bit right now. I didn't know chapter 20 and 21 were useful for lie theory sweet

[hollow drum]

Right now I think greubs linear algebra is the most thorough but idk for sure

[gray gazelle]

yes in a classroom setting but i need a supplement cuz my prof goes way to fast

[gray gazelle]

hmm okay wb early transcendentals in general

[rose talon]

isn't early transcendentals a single variable calc book?

also its not even stewarts best single variable calc book

just use his "calculus" book

[gray gazelle]

hmmmmm

[rose talon]

i might be wrong actually

early transcendentals might do some multivar stuff

[rose talon]

sorry i mixed up "Calculus: early transcendentals" with "essential calculus"

[rose talon]

I would still get "calculus" over "calculus: early transcendentals", but they are similar enough to be a matter of personal preference

[gray gazelle]

wym

I’ve done calc 1 & 2

is there a difference between vector algebra and linear algebra

in vector algebra a subset of linear algebra

[radiant pilot]

Il salvatore del calcolo, Princeton.

[cursive rivet]

This is a math 146ism, and is completely untenable for most math majors at most universities, since it teaches (as a book, idk about 146 specifically) nothing about matrix computations, which are genuinely essential

axler explicitly says in the preface that he intends it for a 2nd course

[rough umbra]

fair

ur right

ig 146 is like 1st half of axler + basics of matrix computation

[rough umbra]

This could be doable right?

Idk personally I just really liked introducing linalg as the study of linear transformations on finite dimensional vector spaces, bc that helped me think abt algebra in general as isomorphisms and actions

I think you could do vector spaces and lin maps first and then bring in matrices as tools

and keep connecting back to what they represent in the context of maps

[tribal crow]

that's pretty much how we did it too

but it's still good to do matrix computations imo

[rough umbra]

showing M_n(F) cong End(F^n) is still one of the results I found coolest when we first did it

Idk I think having the knowledge that matrices are basically just linear maps makes them more intuitive

[rough umbra]

true

[tribal crow]

I think this remains one of my favourite results in linear algebra

[rough umbra]

So imo first half axler + computations from somewhere else could be good

[tribal crow]

it's so neat

[rough umbra]

mhm mhm

did you mean to put this in the other channel

[molten gulch]

Spectral theorem mentioned

[tribal crow]

yes, yes I did

thank you for pointing it out

[junior isle]

True. Its so crazy that you can represent any linear map between finite dimensional vector spaces with a matrix

[jaunty acorn]

Is there any lecture series centred on probability and its application by william feller's book?

[vital bane]

imo I didn't entirely like using axler as a first course, not because it's hard or anything, it starts off at the very basics, but I'm saying I wouldn't use axler as a first course because of Axler's hate of determinants lol, I think FIS or HK should be used as a first course and then axler should be done in your free time to see the alternate determinant free proofs

[vital bane]

teaching students matrix manipulations without teaching them that they're linear maps should be a war crimes

[willow merlin]

what is the encyclopedia of algebra is there any book like rosen discrete math but for linear algebra

[vital bane]

for UG abstract algebra Dummit and Foote

not sure about Linear Algebra

what's funny is in the preface of D&F they state "we have not attempted to be encyclopedic..." even though it's the largest UG algebra book I know of

[cobalt arch]

There is linear algebra by greub, linear algebra by lax and advanced linear algebra by roman, but I haven't seen a very comprehensive linear algebra book. The first one is older, the second one is succinct and the third one is modern

[vital bane]

third one is also a graduate level book, it basically assumes you've seen rigorous LA already

and dives deeper into more advanced stuff and adjacent stuff like module theory

[signal zenith]

It isn’t that cool to me because this is just how we define matrices

Like we define their operations specifically to store that data

[hollow drum]

I think your right roman is the most thorough. Although I have Roman, I've never actually used it I guess because anything I would need from it I would usually go to a different book. For instance, I'd probably go to Conway's functional analysis if I wanted to review Hilbert spaces or hungerfords algebra if I wanted to review module theory

On the other hand, if I was on a desert island I think roman would be the most bang for my buck in terms of breadth.

[night prism]

For a contrasting opinion, I thought D&F was one of the most long-winded and confusing texts out there. I meshed much better with Artin.

[spiral sky]

I just got the book introductory topology exercises and solutions by mohammed Hicham mortad and I wished I had this book during my undergrad it literally has everything you need! Are there books like this algebraic graduate courses? It's the best book I have and I have like 40+ books

[spiral sky]

I also have D&F, but It uses unfamiliar notation I prefer abstract algebra book by Robert ash

[gray gazelle]

what do people think about Gilbert Strang’s calculus opposed to Stewart’s

[sage python]

It takes a very odd approach to the subject

Some would go so far as to call it a bit Strang

Jokes aside idk it but I've heard some complaints about his linear algebra books. Apparently his explanations can be a bit wack

[abstract dawn]

does anyone have a pdf of aops volume 2?

i found one online but the pages are slanted

[trail hemlock]

u cannot ask for illegally obtained media here

like its against TOS the server can get banned

[wispy bison]

the series on the MathMajor youtube channel

Any recommendations for a point set topology book which starts from filters?

[steel cloud]

What is a prerequisite for functional analysis? I want to apply this in metric spaces, so I want to learn Banach space stuff.

[remote sparrow]

usually measure theory

[crimson leaf]

Depends on the book but standard would be something like measure theory, linear algebra, and point set topology.

Some complex analysis might help too depends on book again

Something like Kreyzig is a lighter treatment he only really assumes linear algebra and undergrad analysis iirc

[steel cloud]

I have no measure theory background

[remote sparrow]

you could try learning some

folland and axler do a bit of functional analysis after teaching the basics

[steel cloud]

Okay thank you, and I followed Carothers for analysis and it helps me a lot ❤️

Thank you @remote sparrow , sorry for ping.

[oblique frigate]

Does anyone know of a good book to study operators with a continuous spectrum ? Finding things on discrete spectrum and compact operators is pretty easy (MIRA by Sheldon Axler or the book by Li Daniel for French people) but the continous spectrum part (on potentially unbounded or non compact operators, with eigenmeasures instead of eigenfunctions) seems a little harder to come by

[upbeat vine]

Multiple references: A guide to spectral theory by Raymond, Reeds and Simons Mathematical physics books and Brezis PDE book also. At a higher level, you have Spectra and Pseudospectra

[dim tendon]

Whats a good beginners book for linear algebra?

And also what topic outside of high school mathematics should I begin to learn?

[graceful moon]

Linear algebra would be my recommendation, number theory could also be a good call

As for introductory LA books I quite like Nicholsons Linear algebra book and it’s free online

People also enjoy Gilbert Strangs book and there’s accompanying lectures on YouTube through MIT OCW

[dim tendon]

aight tysm

[drowsy thicket]

Usually calculus -> analysis and linear algebra

[gray gazelle]

Serge Lang's Introduction to Linear Algebra is goated, very readable material and I highly recommend reading it because it's completely accessible to someone who hasn't even done calculus yet, but covers the necessary material taught in a first course

[spiral sky]

What are good books on galois theory that touches about some other areas like langlands program or esquisse d'un programme, or even modular forms

[gray jungle]

tao analysis volume I and II

you can learn linear algebra and diff eq but its not exactly too related to real analysis

you can learn them together with analysis if anything

my LA recommendation is hoffman kunze

i dont know any great diff eq books, just kinda followed lecture notes from prof

[foggy quest]

linear algebra: https://mtaylor.web.unc.edu/notes/linear-algebra-notes/ analysis: https://mtaylor.web.unc.edu/notes/math-521-522-basic-undergraduate-analysis-advanced-calculus/ differential equations: https://mtaylor.web.unc.edu/notes/math-524-second-semester-ode/

multivariable analysis and ODE overlap, so you don't need to do ODE separately. You can start with ODE, as the text assumes less of the reader.

and motivates a lot of analysis

[gray jungle]

oh btw since you are here @foggy quest (altho off topic), do you want to join the server we're using for the measure theory seminar? in case you want to answer any questions when you got time. (think of it as another analysis channel)

[foggy quest]

why is it separate

[gray jungle]

maybe you missunderstood my message? im not following, we are hosting a measure theory group as posted in #events and i was just asking if you would be interested in joining as a helper, if you are asking why its separate from this server, its just typical to host reading groups in a server of its own

but anw this is probably off topic, let me know if you are interested in dms

[foggy quest]

I'd have to say no. Though for polar coordinates, I think Folland's approach is ad-hoc. A better approach may be to construct surface measure in general. But then that requires a detour into inverse function theorem and surfaces ...

[gray jungle]

fair enough, and yeah i agree that folland section is not enough, so we'll be modifying it a bit, but that just includes presenting the polar coordinates part a bit better, surfaces measures can take some work to build as you noted.

[remote sparrow]

#book-recommendations message

[spiral sky]

As an algebra person I was looking for analysis books that are friendly to my background and carothers book is the best I've found

[remote sparrow]

#book-recommendations message

[celest estuary]

need recommendation for classical number theory book whose exercise will be harder than burton number theory book

but is not too olympiad oriented,

[remote sparrow]

#book-recommendations message

use niven

[scarlet saffron]

Is there any good book about differential algebra that I can read? I'm still coursing my first degree, so I don't have much experiencie, I wish a book that it's not that difficult to read

[deep karma]

Does anyone know any good books for an introduction to non-euclidian geometry?

[foggy quest]

Are surfaces/manifolds what you are looking for?

There is https://mtaylor.web.unc.edu/wp-content/uploads/sites/16915/2018/04/analmv.pdf and "Introduction to Smooth Manifolds" by J. Lee.

[torpid stump]

The Geometry of Surfaces by Stillwell is pretty good.

[dim sierra]

Agreed its fantastic

[analog pollen]

does anyone own "Calculus Made Easy by Silvanus P. Thompson and Martin Gardner"?

I ordered it and am curious on how smart i was with my purchase, cause i wanted a physical book on calculus

[hollow flax]

wow

[orchid otter]

Anyone know a good Euclidean geometry book for beginners?

[swift dome]

Decent you check it's reviews

[orchid otter]

I do

[analog pollen]

how is it? like compared to just reading off of random resources online such as pauls notes

[orchid otter]

So, I feel like the book kind of covers the basic fundamentals of calculus, and all the small pieces of it, so I think it’s a good book if you want to understand it, but I didn’t read all of it so I cant say for sure

It’s not complicated

[wispy bison]

Any recommendations for a point set topology book which starts from filters?

[orchid otter]

I’m pretty sure it doesn’t get into any super advanced topics in calculus is what I mean

[analog pollen]

Yeah I dont expect any book titled "calculus made easy" to go remotely past calculus 1, i mainly wanted a book that contained all the little pieces

[orchid otter]

Well if that’s what your looking for it’s a good book

[willow merlin]

give me tips for learning math from textbooks effectively do you guys do all the exercises, take notes or something extra?

I need to self teach my professor does not explain it in a way I can understand and I prefer book

[rain hound]

I’ve heard mixed things about Gardner’s additions and haven’t read it myself. So I can’t say. But the original is available for free (legally!) on project gutenberg. And is excellent. Really the best first introduction to calculus imo. After that math methods books are good for continuing.

[analog pollen]

Yeah i have a personal dislike for any digital books, especially ones on math. which is why i got a physical copy

The information doesnt quite sink in when i read a digital book vs a real book, dont know why

[vital bane]

I don't necessarily dislike digital copies, like pdfs, but imo physical copies are WAY better

[trail hemlock]

so real

[vital bane]

there's just something really nice about having a physical book in front of you while you study

[trail hemlock]

unfortunately, springer has decided to charge like 40 bucks for 100 page books

[vital bane]

it's like dub vs sub in anime

dub is good, but sub is better

[tribal crow]

I've actually become more of a PDF enjoyer over time...

I wonder

[analog pollen]

https://www.welchlabs.com/resources/imaginary-numbers-are-real-high-quality-printed-book-pre-order-ships-dec-9-2024?srsltid=AfmBOoqDbze5bEOj9DP-14P3ui-LrVv2WpIMfJpujast9gm_AzVM1rTi

I really want this book when it comes out, but its $65

[trail hemlock]

gosh what a nice looking cover

[analog pollen]

thats like 50% of the reason i want it XD

[trail hemlock]

so real

[vital bane]

it is a nice cover

[trail hemlock]

i crave spivak's differential geometry books

even thought i dont have the prereqs

like the covers are just so unique

[vital bane]

same!

[trail hemlock]

i purchased a copy of analysis on manifolds just to complete the prereqs

the covers is half the reason i wanna learn diff geo

[vital bane]

I'm definitely gonna do Munkres before Spivak

[trail hemlock]

AoM?

[vital bane]

no no

[trail hemlock]

oh ok

some1 said spivak covers all the topo you need so like

im skipping

probably a foolish idea, but fuck it

[vital bane]

Well I also am planning to do FA, you need a bunch of topo for that as well, also I like topo for topo's sake topo fun

[trail hemlock]

i should read munkres tbh

but like apush homework takes too much of my day 😭

[tender cobalt]

Thomas' Calculus vs James Stewart Calculus

[vital bane]

roll a dice

they're both basically the same

[trail hemlock]

i actually like larson better than both of those

[tender cobalt]

what makes larson one different?

[trail hemlock]

well i didnt use larson to learn but

reading through it for class

the explainations are nice, there are pleanty of visuals

the problems are interesting, and some of hte later problems rly make u think whic hI like

i read like a tiny bit of stewart, and the problems seemed uninteresting, easy, and formulaic.

which larson is to a certain extent, its no rigorous treatment, but there are some interesting problems

[tender cobalt]

I am reading stewart one and definitely the problems are like formulaic

[tender cobalt]

what content does larson cover

[trail hemlock]

https://calcchat.com

take a look at calculus 10e.

[tender cobalt]

looks like pretty much same type of content as stewart one

[trail hemlock]

same content

but nicer (imo)coverage

[remote sparrow]

larson's alright, i had it assigned for multivariable calculus

the proofs in the later editions (maybe 10th edition onwards) tend to be put up online rather than right in the book though

calcchat is nice though

[trail hemlock]

yes

some proofs are left as exercises to the reader, a fact which shocked my to my core

[remote sparrow]

same thing happens in stewart

[trail hemlock]

wowzers!!11!!!

[vital bane]

for multivariable Ted Shiffrin or Hubbard^2 is the best

[heady ember]

"Oh no! Anyways" proceeds as usual

[remote sparrow]

*skips the proof*

[tender cobalt]

how about books like

mathematical methods in the physical sciences by mary l boa

and mathematical methods for physics and engineering kf riley

[heady ember]

Of course not... I mean proceed with self-proving everything

[vital bane]

grass also tries coming up with the theorems himself, he only reads the names of the theorems

he actually only reads the table of contents and then writes the rest of the book himself

"the rest of the book is left as an exercise to the reader"

[heady ember]

[pliant wadi]

Are there any interesting books that you'd recommend to supplement Brezis' book on Functional Analysis?

Books that offer an interesting perspective, that adds something to it?

Or just books on functional analysis in general that you found interesting?

[orchid merlin]

hi im trying to find a book

[pliant wadi]

On what

[orchid merlin]

Psychology’s sociology and human actions on how politics involvement could change human behaviour ?

im intrested into thoes things

i have a appetite into studying about human political influence and manipulations

[pliant wadi]

ah I see

Well I am sorry I don't really know anything about any of that

[orchid merlin]

no problem

do you know any Second-Person Fiction?

[pliant wadi]

It's not a genre I have read in a long while so I can't remember anything off the top of my head

[orchid merlin]

or like surrealist fictions on socialism

[pliant wadi]

Oh yes surrealism yes

Although you might already know about them

[orchid merlin]

simply im trying to find a genre blending fusion of epistolary, hypertext, concrete poetry, experimental narrative, procedural, meta surrealism, and interactive fiction.

[orchid merlin]

sure

[pliant wadi]

Oh boy XD

I can't guarantee the blending of all that

But you might wanna check out Faulkner's the sound and the fury

If you haven't yet

[orchid merlin]

my professor gave this list to try to find something based off it, doesnt have to be a book :A hybrid genre encompassing epistolary form, hypertextual interaction, concrete poetry, experimental narrative techniques, procedural generation, meta-fictional awareness, surrealist elements, and interactive storytelling

ah yes faulkner

[pliant wadi]

Murakami and Kafka have some interesting works in some of that

As I said very well known

[orchid merlin]

i ve read many of his books like "as i lay dying" "a road lay empty" "light in August"

etc

ive heard about amerika

[pliant wadi]

Oh I haven't

[orchid merlin]

it a good book

[pliant wadi]

I see, I'd check it out.

Thanks

[orchid merlin]

👍

[pliant wadi]

Bumping this up

[orchid merlin]

"If on a winter's night a traveler" by Italo Calvino

[pliant wadi]

Very intriguing!

Thanks for the suggestion

[orchid merlin]

no problem

[daring wave]

I've heard Kreyzig's a popular choice for FA

[pliant wadi]

Yea no, not that.

Ik about it.

[orchid merlin]

@pliant wadi could i ask you some obscure question just out of intrest?

just making sure im able to ask thoes quesiton correctly of which subject are you the best at? Classical Studies, Economics, English Literature, History, Law ,Philosophy, Politics?

[pliant wadi]

That's out of the blue but okay

In ascending order, it should be,

Classical studies, Politics, English Literature, Law, Economics, History

[orchid merlin]

‘And the main foundations of any state, whether it be new or old, or a new territory acquired by an old regime, are good laws and good armed forces’ (NICCOLÒ MACHIAVELLI). Does pacificism betray a fundamental political naivete?

[pliant wadi]

Why are you asking me this? Is it a part of an assignment?

[orchid merlin]

no i just made it up because my teacher wont understand what im talking about

[pliant wadi]

Oh I see

Then

[orchid merlin]

im trying out a lot of new stuff recently as im trying to apply for fellowship which is very stressful

[pliant wadi]

I'd say it doesn't betray it. And I won't call Niccolo Machiavelli's saying something, something that comprises political naivete in my understanding of the term.

Provided I am a layman in this area

[orchid merlin]

no problem

[pliant wadi]

Oh good luck

What's your field of work if you don't mind me asking

[orchid merlin]

Sociology

[pliant wadi]

Interesting. You are the first sociology student I have ever talked to. IRL or online.

[orchid merlin]

oh that intresting

[foggy quest]

Read the entire section from the book, then do the exercises of that section. When reading the section you should also be forming questions and doing mini exercises left by the writer, like when they skip a step or when they pull things out of nowhere. Then do all the exercises of that section. If you are actively reading and then do the exercises, you do not need to take any additional notes.

For more advanced subjects or less refined texts, it can be good to note down questions you have for the professor.

[remote sparrow]

have you considered playing disco elysium?

[orchid merlin]

no but ill give it a try thanks!

[trail hemlock]

id like to add that doing what grass does, and proving some of the theorems yourself, can be super helpful as well.

i believe grass was actually the first to ever discover this technique

[remote sparrow]

not sure if someone mentioned this to you, but royden and fitzpatrick has a new edition now

[sage python]

Oh yeah I've heard, I should update

[molten gulch]

is it good re: 3e and 4e having absolute ass errata?

[remote sparrow]

idk

my main reference is gonna be axler

i'll look through folland every now and then tho

[remote sparrow]

when you have time, can you look at axler too?

[heady ember]

[midnight grotto]

hey guys so im new to this discord, im some random guy that wants to start selfstudying math cause I think is kinda cool and fun.

Do yall got any resources, guides, or like self-made curriculums for self-studying math?

[glad rampart]

what math

[midnight grotto]

all math

I was gna start on calculus

[glad rampart]

there is no resource that can teach you all math

and if there was it would fill many libraries

[midnight grotto]

Well I know there's no one specific book or resource, what I mean is would anyone happen to have a self-study curriculum for learning all of math. Like right now I'm using James stewarts 7th edition textbook for Calculus, what textbook should I get next?

Although I do admit I should probably sharpen up on my algebra and geometry

[analog pollen]

Khan academy is what i like the most

[glad rampart]

you cannot study all of math in a lifetime or ten

[midnight grotto]

Hmm thanks for your input and questioning. I've realized I should prolly clarify what kind of math I would like to study.

[midnight grotto]

Yes I've started with Kahn academy, but what I've read on forums and reviews is that Kahn Academy is primarily introductory.

[midnight grotto]

How has Khan Academy been in your experience?

[glad rampart]

doesnt khan only go up to like DEs?

[midnight grotto]

What does DE mean?

[analog pollen]

I really like it, since it combines the videos with the excercises like you were taking a class. the AP calc AB and BC courses are very similar if not identical to the topics in the high school courses. I do not know much about topics past calc to say anything about the courses beyond that

[glad rampart]

differential equations

[analog pollen]

though it does go up to linear algebra at the end of the math tab, Im not sure how in depth it goes into it though

but thats as far as it goes

[glad rampart]

ive heard their stuff on DE and multivariable calc isnt the best but i havent taken it personally

[midnight grotto]

Do you have any recommendations for DE and multivariable calc, like a textbook or something?

[glad rampart]

i havent studied them so im not sure

[midnight grotto]

ahh ok np

[glad rampart]

might be some stuff in pins

[midnight grotto]

ill check that that thanks

[midnight grotto]

Is there anything else besides school resources and Kahn academy that you have used and would recommend

[analog pollen]

I currently dont study anything beyond calculus so I unfortunately could not say

Khan and Paul's online math notes have been sufficient for me with calc 1 topics

[midnight grotto]

I see, well thanks for the response and input

[slender wasp]

18.02SC and 18.03SC in mit ocw

[midnight grotto]

Thanks for the reco, ill take a look at them

[willow merlin]

any rec for stop being bad at math

book

[tribal crow]

there is no book that teaches you how to "not be bad at math"

you get better at math by doing tons and tons of exercises

there is no shortcut

[trail hemlock]

u never stop being bad, you just be bad at different math

with that said, Polya's How to Solve It is a good book for problem solving in general

[rain hound]

how to ~~ solve it ~~ find more problems you can’t solve

[wanton bridge]

Heya everyone, I'm about to start college and I suck at math so I decide to brush up on precalc, anyone got any course or textbook that you'd recommend? Thank you very much.

[long oriole]

I think books like schaum's series would be helpful. They have tons of solved problems with bare minimum definitions.

[long oriole]

Check GVSUmath department YouTube channel. They have precalculus and communicating in mathematics (proof skills) course lists

[wanton bridge]

I'll check them out, thank you very much.

[long oriole]

You can check Kimberly Brehm's channels too. I am watching her abstract algebra course and watched some discrete math videos as prerequisites for abstract algebra. Her videos are so easy to follow.

[wanton bridge]

Ahh, I'm studying CS so I'll have to study those two eventually, thank you.

[jaunty tapir]

are there any online lectures that follow J. Lee "introduction to topological manifolds"?

[candid creek]

Is there a real analysis book where I can practice convergence of series / sequences questoins without too many proofs?

I am studying for an MCQ quiz and need to just grindddd

also stuff like computing the infimum, supremum, limsup, liminf etc

[marsh ingot]

Books specialized in Spectral theory and Banach algebras?

[vital bane]

I thought you were burned out from analysis and wanted to try something else

[foggy quest]

There are some here: https://mtaylor.web.unc.edu/notes/functional-analysis-course/

[marsh ingot]

I am but just to search them and keep them on my tablet

[marsh ingot]

Thanks

Hörmander?...

https://tenor.com/view/war-vietnam-ptsd-shell-shock-moment-gif-3022747568394546158

[vital bane]

wait wth

is this the PDE book Taylor?

he has a notes website?

[foggy quest]

yep the legend himself

[vital bane]

goddamn!

Nice

saved

now that's a happy man, studying PDEs

[marsh ingot]

Then should I do a phd in pdes?

He looks so happy

[vital bane]

ryc also looks happy, he also does PDEs

proof by verifying 2 cases: people who do PDE research are happy

[marsh ingot]

I can relate, I had a teacher for Sobolev spaces who research in pdes. He looks so happy to teach us

[marsh ingot]

Also Lie groups

[foggy quest]

I think the majority of tenured professors in math are PDE specialists, at least they are in the department M. Taylor worked at. Maybe there isn't much choice in your specialty if you want an academic job.

[gray gazelle]

what are yalls thoughts on gn berman

[proud lotus]

Im struggling finding resources/books for Linear Algebra does anyone have recommendations?

[vital bane]

depends on what kind of linear algebra

applied or pure?

[proud lotus]

applied if you can

[vital bane]

can't go wrong with Gilbert Strang then

[proud lotus]

would you recommend his lectures as well?

[vital bane]

yup!

I also recommend 3Blue1Brown's linear algebra series

that's also quite good for gaining visual intuition behind LA

[proud lotus]

Thanks man ! 😊

[nimble cliff]

which channel is good for the precalculüs ?

[molten gulch]

#precalculus

[swift dome]

need a book for discrete maths ?

[molten gulch]

rosen discrete maths

epp discrete maths

[swift dome]

ty for it, will look into it!

[foggy quest]

https://mtaylor.web.unc.edu/notes/linear-algebra-notes/ is good. Others say https://www.math.brown.edu/streil/papers/LADW/LADW.html and https://linear.axler.net/ are good.

[gray gazelle]

What would be a good book for someone interested in getting into pure math that introduces basic logic, set theory and proofs? (maybe also talking about some gentle topic like elementary number theory or discrete math would be nice)

[remote sparrow]

there's lots of books like this

#book-recommendations message

[molten gulch]

On a much lighter note, we crown thee, "Sour Drop, Book Connoisseur of Mathcord" :)

[analog sedge]

Do you guys suggest any resource for learning discrete mathematics or any mathematics related to computer science ?

[normal crystal]

Scan up a few posts

[remote sparrow]

https://www.amazon.com/Nonlinear-Dynamics-Chaos-Steven-Strogatz/dp/0367026503/

apparently this book has a third edition now

[willow merlin]

is there any book on getting math maturity?

[marsh ingot]

Wdym?

[molten gulch]

Knuth concrete mathematics
rosen discrete mathematics

[remote sparrow]

can you elaborate on the differences between hirsch-smale-devaney, teschl, and perko?

[rain hound]

This book by Lehman, Leighton, and Meyer is pretty good imo https://ocw.mit.edu/courses/6-042j-mathematics-for-computer-science-spring-2015/mit6_042js15_textbook.pdf

[timber mesa]

as far as I recall

• Perko is purely an ODE book focusing on the geometry of flows -- things like stable manifolds etc
• Teschl is also focused on ODE but covers some more topics, I haven't read this one much
• HSD has a good variety of topics at an introductory level, including some things about discrete time systems and chaos. I would recommend this one to beginners

[heady ember]

I think the only way to improve one's mathematical maturity is simply to do more math.

I reckon it took me at least like 1k hours of self-studying to get a bit of mathematical maturity

Maybe starting and becoming comfortable with writing concisely helped improve my mathematical maturity.

Yeah I think that that was a decently sized stepping stone

But you should write in all the detail you deem necessary to ensure you fully understood something, if you're starting out.

[uncut birch]

I'm taking a course on applied PDEs, covering Sep. of Var., Sturm-Liouville, Fourier and Laplace solution techniques, and reviewing integrating factors, reduction of order, and Frobenius method for ODEs. I've taken the standard calc 1-3, lin alg, an elementary diff eq course and a discrete math course. I'm also currently taking my first course on proofs, math modeling (difference and differential equation models), and a data science course.

Is this background enough for Taylor's PDE 1 book? Are there any other you'd recommend for ODEs and PDEs? Are there any you'd recommend for my other current courses?

[raw lagoon]

Math books.

[remote sparrow]

@foggy quest

[trail hemlock]

has anyone here read "Real Analysis and its Applications: Theory in Practice" by Davidson and Donsig?

[remote sparrow]

never heard of it

[trail hemlock]

lol yeah its a random professor

and i just loooked him up and realized he had a textbook

[floral lantern]

U should do physics instead of analysis

Smh

[trail hemlock]

well im taking ap physics 1

i wanted to read a physics book but like i have no time

[cosmic zodiac]

guys which book is the best for beginner calculus?

[trail hemlock]

thomas or stewart are good

I also like larson

all 3 are pretty much the same

[cosmic zodiac]

James Stewart one?

[trail hemlock]

yeah

[marble solar]

It seems there's some background assumption on Calculus on Manifolds and basic Differential Geometry in volume 1. There's also sobolev spaces, which generally requires you to know graduate real analysis to some level

I think Evans is generally a gentler approach to PDEs at the intro to grad level

Since the first four chapters mirror the undergrad curriculum at a deeper level

Then in chapter 5 it hits sobolev spaces. Although Taylor hits Sobolev spaces in chapter 4, it seems to assume that you know more analysis than it sounds like you do

To be clear, Evans also requires you to know Calculus in Severable variables well

[rotund eagle]

books on probability and stats?
i am looking for something which really dives into various types of distribtutions, expectations, CDF,PDF,PMF and stuff like that, lecture notes just aren't enough anymore

[vital bane]

maybe Halmos' Naive Set Theory?

[iron pulsar]

#chill message

[bold prism]

does anyone know the topics they test at the simon marais maths competition? if so, what type of books do you recommend studying to get acquainted for the competition

https://www.simonmarais.org

[oblique hatch]

What’s a good source for surgery on manifolds that actually realises visual intuition is useful?

[molten gulch]

This is gonna be a bit of a longshot maybe

But does anyone know of any good introductory books on writing algorithms for distributed systems?

[foggy quest]

It's not enough. At minimum, you need to know intro analysis at the level of https://mtaylor.web.unc.edu/wp-content/uploads/sites/16915/2018/04/anal1v.pdf, multivariable calculus at the level of chapters 1,2 and some of 3 of https://mtaylor.web.unc.edu/wp-content/uploads/sites/16915/2018/04/analmv.pdf, measure theory at the level of Folland, and some differential geometry; for example if you are strong in chapters 4-6 of https://mtaylor.web.unc.edu/wp-content/uploads/sites/16915/2018/04/analmv.pdf you will be very comfortable, but you can get by with a lot less geometry for most of it. Folland's book is good for Fourier analysis and Distribution theory too, both of which are parts of PDE theory,

[floral lantern]

quit math do physics

I'm getting traumatized rn by math and physics simultaenously

[uncut birch]

I'll look into Evans and see if it'll fit for me since I'm still an undergrad

[uncut birch]

I appreciate the detailed response! I'll start going through those chapters on the side and look into Folland's book instead for now.

[idle brook]

does any1 know a good book about topology

or maybe a book for people who arent satisfied with maths in normal classes and want to learn more

[tribal crow]

general topology?

[gray gazelle]

I like Willard's book for general topology

Higher probably likes Lee's book, idk

[tribal crow]

I do like Lee

I think it’s well written

some people like Munkres

others prefer smth like Bredon’s chapter 1

[gray jungle]

Munkres is a good reference for general topology, dugundji for more advanced topics

[remote sparrow]

you can look at strauss, haberman, or hillen, leonard, and roessel

@uncut birch

[uncut birch]

Why are there always so many option lmao. Ok, I'll add them to my list to check out, I appreciate the help y'all!

[remote sparrow]

evans and taylor are intended for students with more background than you have

[marble solar]

Strauss is a good undergrad PDE book

I wish I took the undergrad differential equation sequence instead of falling for the "just take graduate analysis meme"

There's a lot of good info in undergrad DEs

[foggy quest]

true. At my undergrad they had ODEs as part of the undergrad "advanced calculus" class

covering the classic picard iteration argument, and smooth dependence on initial data

[remote sparrow]

besides the obvious fact that you aren't being taught how to solve certain classes of DEs, what would you be missing if you only take graduate analysis?

relatedly, there's possibility for reform in the ode curriculum. maybe the first semester one focuses on closed form solutions, and the next focuses on nonlinear systems a la strogatz

[steep geode]

Hey i search a book on Geometry of Numbers, any recommendations ?

[sonic willow]

i want to learn calc but i don't think i'm as good at trig as i should be, any recommendations for precalc?

[marble solar]

Strauss has a section on Weyl Asymptotics which won't be covered in a graduate analysis class

(At least a first year one)

Chapter 11 is a great chapter

[marble solar]

Some graduate classes don't have an emphasis on Distributions, whereas hopefully a year long course in Differential Equations could spend a few weeks on them

[torpid stump]

Do you recommend using books for algebra 1 and 2, precalc, and calc or something like Brilliant or Khan academy?

[torpid stump]

Any good college algebra book recommendations? I have this at the moment: https://www.amazon.com/Intermediate-Algebra-Textbooks-Available-Cengage/dp/1111567670/ref=sr_1_1?crid=2MSF6ICIL4RL4&dib=eyJ2IjoiMSJ9.BFCPDIri-eb3kLDyxR17ZtLWG_wpHrjLPuv48uuelP55VySN_kjwUb4T6wrJKcRx6jkrJoVXuco6eVRA-le1xb6SrxKnA0iU3y4ct8i7m1bn5rmeOMvQOKu6Jn-NqDKPWaYimvat_YfOyc94QHjddxMntf6WH7yOZrnvS9M3WxzBMA_Tld0RGiH6AOyPBb-ufIzs1P8IQnirJxO3x_0lZ09KtaZYAfW48btqn1vvldI.q021HkbJvnPiNS0SlREMoFbpph89suAE6traHud0k7s&dib_tag=se&keywords=intermediate+algebra+tussy&qid=1725397911&s=books&sprefix=intermedaite+algebra+tuss%2Cstripbooks%2C123&sr=1-1

I am in 7th grade rn 13 years old pls dont ban me lol.

[charred roost]

bro did not trim the metadata off the link, mods ban him

[vocal lodge]

hi

[frosty wyvern]

Hello! Does anyone have any recommendations for a good introductory on randomized methods for numerical linear algebra? Thank you!

or even review papers

[half compass]

anyone got a book on the riemann hypothesis?, like all of it? from the very basics like the functoin itself all the way to analytic continuation

and maybe all types of attempted proofs or partial proofs

or most

[trail hemlock]

[glad rampart]

https://www.youtube.com/watch?v=sD0NjbwqlYw&t just watch this

[vocal egret]

Is elementary linear algebra 11th edition by Anton good?

Planning to learn linear algebra after I'm done with proof writing

[heady ember]

Come on out my FIS shills

[vocal egret]

[umbral field]

i used it for an intro class and it was fine, but can be a bit terse (fine for a course book, but might make it harder for self study)

[vocal egret]

thanks for the reply. I'll try to supplement this book with more basic linear algebra texts. Thanks for the info

[tribal crow]

[molten gulch]

[remote sparrow]

have you ever mentioned what your favorite linear algebra textbook is?

[willow merlin]

how do you learn algebra if you know little

effectively

[abstract copper]

Repitition

Also this is #book-recommendations

[fierce hedge]

My guess is, linear algebra done wrong

[loud cradle]

I don't really have a favorite, I think Axler and H&K are both fine, and I like the parts of Roman that i've read. FIS is ok too but I haven't read most of it, just bits and pieces. On the applied side of things, Horn and Johnson is pretty good, and there's a book by Meyer called "Matrix Analysis and Applied Linear Algebra" that's nice if you want to understand how computers do stuff like find eigenvalues and such. The only "intro" one I've read is the one for the first course I took, which used Strang's Linear Algebra and Its Applications, which I would not recommend at all

[loud cradle]

I've only glanced at this one tbh, seems fine from what little I've seen

[trail hemlock]

we stay hating on strang

Meyer's book sounds so interesting though, is it dense?

[loud cradle]

in theory I should like strang, I just found it disorganized and while it's enthusiastically written I still find it unclear in places, even when I know the material he's talking about

[remote sparrow]

if you've got time, feel free to check out meckes' Linear Algebra

[loud cradle]

not too bad at all

[trail hemlock]

yay

maybe for some reading this summer ill check it out

[loud cradle]

i'll see if i can find it, one moment haha

[remote sparrow]

btw there's a second edition for horn and johnson, but i haven't seen it uploaded to the web yet

the title got changed to Matrix Mathematics: A Second Course in Linear Algebra

[trail hemlock]

ugg if only i had image perms

[heady ember]

Hi Sour

[loud cradle]

oh interesting, i thought i already had the 2nd edition, I upgraded from my old 1st edition that I've had for decades

[remote sparrow]

oop i confused horn and johnson with horn/garcia

my bad!

[loud cradle]

oh right, i forgot this exists, i have a pdf of the 1st edition i think

haven't looked at it, but if it's of similar style/quality as horn&johnson then it should be really good

[remote sparrow]

https://tenor.com/view/aya-waves-aya-fumo-waves-gif-26517247

[trail hemlock]

i think the second edition is online

i jus found one

and the link inside redirects to a page for the second edition

[remote sparrow]

https://www.amazon.com/Matrix-Mathematics-Cambridge-Mathematical-Textbooks/dp/1108837107

for horn/garcia?

horn and johnson is definitely online, i have the pdf

[loud cradle]

Table of contents looks good, probably suitable for a first course with things ordered sensibly (linear maps before matrices etc) unlike many such books. Sequencing of eigenstuff, determinants, char poly looks more sensible than Axler's, haha

bonus, they acknowledge the existence of fields other than R and C

[trail hemlock]

alll these horns are confusing me

[remote sparrow]

this summer? i checked whether india is north or south of the equator, and it's north of the equator. did you mean "this winter?"

[light fable]

Any book suggestions for learning and practising linear programming using python. For graduate level. You can suggest any prerequisites too.

@everyone

[hardy pike]

anyone know a fun super easy (like bed time reading level) book on cryptography?

[uncut birch]

Gotcha, I appreciate y'all. I'll probably pick up Strauss for now since @marble solar also gave it praise. We'll see how successful I am, this PDE course is already rough so I should also refresh on my foundations in my free time.

[trail hemlock]

huh

[vocal egret]

btw, do you recommend I try Axler's Linear Algebra Done Right? This is recommended to me by my teacher for learning, so I'm currently scrambling for feedback

I plan to buy it soon, accidentally found one for a fairly cheap price

[slender cargo]

I self-studied it over the summer and I thought it was fine. Since it's such a popular book you can find a lot of answers online for the problems

[vocal egret]

just realized the author published his book online. so uh.

gonna do the stuff on a notebook, thanks for the feedback

[hardy pike]

do want the solutions to the 3rd edition?

are you going to buy edition 4?

[umbral field]

i've heard that it's better suited as a second book, and not especially good as an intro, but i haven't used it personally

[hardy pike]

is this a first pass for linear algebra? or a second pass?

(i don't recommend axler for a first pass through lin alg.)

[light fable]

Anyone

[noble vapor]

can anyone recommend me a book on calculus

for beginner

to build a good foundation

[vocal egret]

I'd buy the fourth edition, but the third edition seems to be more available online. Mind sharing the3rd edition solutions? I don't really know of where to search from

[remote sparrow]

it's on amazon

[vocal egret]

It's for a first pass. I think I should've bought a calculus book like George's calculus book.

[remote sparrow]

the fourth edition was only released just last year

[vocal egret]

nvm, I managed to find one in shopee. (In asia rn, my mom refuses to buy from amazon and only in ones she is familiar with)

[remote sparrow]

you can also buy direct from springer too

[vocal egret]

I'll try to buy it directly, tysm

[remote sparrow]

https://link.springer.com/book/10.1007/978-3-031-41026-0

try using coupon code FALL40

[vocal egret]

thanks

[hardy pike]

chapter 1:

https://linearalgebras.com/1c.html

all the chapters on this page:

(i can't add links/files?)

all chapters: https://linearalgebras.com/

[hardy pike]

i don't recommend axler for a first pass. you need a level of math maturity to really understand what is going on.

the book was not suffiiently motivated for me.

[vocal egret]

Noted! I'll supplement the book along with Singh's "Linear Algebra: Step by step" or Strang's "Linear algebra its applications". Is Strang's book a good choice though in your opinion? Conflicted of which book to buy rn

Thanks for the feedback

[heady ember]

Sail the seven seas

If you find one that you'd like to stick with, then buy a physical copy (assuming that's important for you).

[vocal egret]

I decided to buy a book in case of CS. It seems complete for what I need

[vocal egret]

become a pirate

[heady ember]

CS?

[vocal egret]

yez. the matrix cookbook

cooking straight up dogpile codes rn 🔥🔥🔥

[bold prism]

book recommendations on real analysis and linear algebra thats easier to digest
prepping for a competition

[toxic willow]

#book-recommendations message

Check pin message

[bold prism]

ty

[vocal egret]

Decided to go with linear algebra 5th edition by Strang. I checked the 6th edition, and it's explained more intuitively there. No 6th edition in store tho, so no other choices for a physical book 😦

[hardy pike]

lay, lay, and mcdonald is my go to for a first pass at linear algebra.

[queen summit]

What's a good math book for algebra. I know the basics

[vocal egret]

I saw Lay's book, but I don't see any buyers or review, which is suspicious.... I think I'll stick to the pdf version of this book.

Only the fifth version of Lay's book is available for me, I think I'll buy it (and cancel Strang order). Thanks for the reco

[gray gazelle]

ask @remote sparrow

[molten gulch]

Abstract algebra or elementary algebra or....

[light fable]

Any book suggestions for learning and practising linear programming using python. For graduate level. You can suggest any prerequisites too.

[rain hound]

My favorite linear programming book is Papadimitriou & Steiglitz Combinatorial Optimization. For coding algorithms in python I recommend Durr & Vie Competitive Programming in Python. Not exactly a linear programming in python book but using the two together you can figure it out.

[gray gazelle]

he meant elementary..

[vocal egret]

Lars linear linear algebra or Larson linear algebra?

I checked Larson linear algebra, and the book seems to be similar to Sullivan's book style

[toxic willow]

how about https://sites.google.com/a/brown.edu/sergei-treil-homepage/linear-algebra-done-wrong

[vocal egret]

I just checked, this suits what I want to learn. Thx for sharing the book

[hardy pike]

i did not know an August 2024 version of LADW was available, lmao. thanks too

[willow merlin]

name 3 linear algebra book that is not HuffmanKunze nor Ladr nor Ladw

I just want to learn more

[rich sun]

Friedberg, Insel, Spence

[gray jungle]

Roman is good if you want more advanced topics

otherwise you can start looking into matrix analysis books instead, depending on the direction you going in education wise

[hardy pike]

what is matrix analysis?

[gray jungle]

its a bit loosly defined, but you study matrices more deeply than what you would in a LA course, including different types of matrices (operators)/equivalent matrices, norms on the space of matrices/ pertubation / numerical methods / positive matrices etc

[molten gulch]

Matrices being operators still blows my mind

[gray jungle]

its a rich field with many nice applications in numerical analysis

[hardy pike]

that does sound fun

[gray jungle]

pertubation is the most interesting topic to me

[hardy pike]

what is a good book on matrix analysis?

[gray jungle]

its basically like suppose you have a solution for your system and you slightly modify the parameters

what happens then

[molten gulch]

So many definitions fit really easily for us, even really long ones, and then the simple definitions never stick 😭

Looking at you: RREF and Matrix multiplication

[gray jungle]

https://link.springer.com/book/10.1007/978-1-4612-0653-8 i briefly used this one a while ago while looking for a book for a friend, its pretty alright

i never went too deep into the domain since i work in more infinitely dimensional settings

but im sure there is plenty good books out there

[modern sphinx]

What’s the right book to read about analytic number theory after Davenport “Multiplicative Number Theory”?

I’m a PhD student. I read Apostol “introduction to analytic number theory” as an undergraduate, and Davenport in my first year. I also mentored an undergraduate student through the first 3 chapters of Jameson. I have a strong background in complex analysis and in classical Fourier analysis. I also have exposure to algebraic number theory (both global and local fields, but I’m very shaky with class field theory), elliptic curves (I’m about halfway through Silverman), p-adic analysis with applications to the Weil conjectures (Koblitz + Monsky), and some scheme theory. I’ve also seen a touch of Modular forms, but only what’s in Serre’s Course in Arithmetic.

While I’ve been exploring a lot of parts of number theory for a while, I think I’m ending up going in a more analytic direction — some of my recent work touches on the failure of square root cancellation for character sums over finite rings that aren’t finite fields, and possible projects involve counting integer or rational points on Markoff-Hurwitz varieties or on K3 surfaces with non-commuting automorphisms.

Aside from what’s directly applicable to my current research, I’d like to get more “culture” within analytic number theory. Davenport is a beautiful book, a classic for a reason, but is short and focused. I know of a number of other graduate level texts that have a wider, possibly more modern view of the subject, such as Tenenbaum, Montgomery-Vaughan, and Iwaniec-Kowalski. Many of these books have more extensive discussions of Sieve methods, smooth numbers, and the circle method, for instance.

Should I read one of those books? Something other general Analytic Number Theory book? Or something more targeted, such as Vaughn “The Hardy-Littlewood Method,” or something on sieves, or on automorphic forms?

[keen pebble]

Can someone recommend me alternative of calculus on manifolds by spivak book which is more digestive

[marble solar]

Tao has a set of lecture notes Titled "Analytic Prime Number Theory" ~ although I'm not sure it's significantly different than what you already know

[modern sphinx]

I know he also talks about some additive prime number theory in his “Poincare’s Legacies: Vol. 1”

That book’s on my to-read list since it seems ergodic methods are also pretty significant these days

[marble solar]

That's where I was going next, is there's also Ergodic Number Theory

[modern sphinx]

Einseidler-Ward, or something else?

[marble solar]

That'd be the book. I haven't read it, however

I took my first ergodic class this past spring, and I'm taking another one this fall

[remote vortex]

I don't really do number theory, but I quite like the early chapters of Einsiedler-Ward as a basic introduction to ergodic theory in general

[marble solar]

Neither of the people teaching work in Number Theory

[remote vortex]

So on the strength of that, it's probably also good in the parts that are more focused on number theory

[modern sphinx]

I’m likely to sit down with Einseidler-Ward soon, partially because Ergodic Theory does somewhat appear in a paper my advisor has me reading, though in a different way I think than how it shows up in say the work around Szemeredi’s theorem. In the paper it’s more of a hyperbolic dynamics type of argument, in fact

[chrome wasp]

I've heard about:
Munkers, Analysis on manifolds
L. Tu, An introduction to manifolds
Hubbard, Vector calculus, linear algebra and differential forms: a unified approach
Callahan, Advanced calculus: A geometric view
Edwards, Advanced calculus: A differential form approach

[remote sparrow]

#book-recommendations message

[remote sparrow]

#book-recommendations message

[remote sparrow]

these are measure theory books

[remote sparrow]

#book-recommendations message

[vocal egret]

thanks for the reply. I'll grab a pdf copy of this. It seems interesting too imo, thanks for the reco

[strange tree]

https://mtaylor.web.unc.edu/notes/linear-algebra-notes/

[foggy quest]

https://mtaylor.web.unc.edu/wp-content/uploads/sites/16915/2018/04/analmv.pdf paired with Lee's Introduction to Smooth Manifolds for chapters 4+

[sturdy solar]

What exactly is the difference between category theory, type theory, and functional programming? if i want a mathematical perspective to programming types (including higher order functions/types and algebraic effects), all the proofs and stuff, what should i learn?

[fair stump]

What are some of the best books on discrete math and combinatorics?

Introduction

[molten gulch]

rosen's discrete maths

bona's walk through combinatorics

[remote sparrow]

@solemn rover

[solemn rover]

Category theory is a branch of mathematics that has close relationships with algebraic geometry, algebraic topology and other branches of mathematics that rely on assigning algebraic invariants to objects to help us understand them better, such as homology

Type theory is a part of programming language theory that studies type systems. Here is the introduction to "Types and Programming Languages" by Benjamin Pierce, which attempts to define a type system

Type systems are a part of static analysis, which is about analyzing a program without executing it in order to get certain basic correctness guarantees about its behavior

[molten gulch]

Clerk, in a totally different note, we keep reading your name as "Clark"

[solemn rover]

The overwhelming majority of papers and books on type theory treat static type systems rather than dynamic type systems, which give correctness guarantees by checking the program while it runs to make sure nothing bad happens.

Functional programming can be done with either a statically typed language or a dynamically typed language. Statically typed functional programming languages include OCaml, Standard ML and Haskell. Dynamically typed functional programming languages include Scheme Lisp and Clojure.

Functional programming is a mix of various ideas and everyone defines it differently. I would define a functional programming language as one where it is realistically possible to solve your problems using pure functions that have no side effects, with good support for higher-order functions.

[solemn rover]

This is fine. You can call me Clerk Clark.

[mossy flume]

ngl this is the first time I have noticed your name says Clerk not Clark

[solemn rover]

Type theory and category theory are related insofar as category theory is a way of providing semantics for type theories; we can interpret type theory using categories, by associating types to objects in the category, and functions between types to morphisms between objects. Categorical logic studies what features are needed in a category to mathematically model various aspects of type theory.

[solemn rover]

We could recommend "Type Theory and Functional Programming" by Simon Thompson as a first introduction to type systems. You can also consult "Types and Programming Languages" by Pierce, and "Practical Foundations for Programming Languages" by Robert Harper. These are all books on type theory proper, they don't treat category theory or algebraic effects.

Algebraic effects are still a major research subject and there are no books written about them as far as I know. You will have to read original research papers. I recommend starting elsewhere and revisiting algebraic effects once you're more comfortable with type theory.
https://www.eff-lang.org/handlers-tutorial.pdf
Here is an introduction

https://homepages.inf.ed.ac.uk/gdp/publications/Effect_Handlers.pdf

and here is a very influential paper on algebraic effects

Category theory is its own thing and I would start with something like Awodey's "Category theory" or possibly "Categorical logic" notes by Abramsky

[native aspen]

Wat book to get as a freshmen

[solemn rover]

You are a freshman in what major?

[sturdy solar]

thanks

i guess i will do type theory first

[wicked fractal]

If you want something on sieves, I recommend reading "The Distribution of Prime Numbers" by Koukoulopoulos and/or Murty's book on sieve methods. They are great and they go through the Bombieri Vinogadrov theorem, which is very important to know if you are more interested in the analytic side of number theory

I absolutely recommend reading Montgomery-Vaughan if you have time for it as well

[slender wasp]

Between Montgomery-Vaughan and Davenport, which one is easier? And, better follow up to Apostol.

[modern sphinx]

Davenport is short, which can be a plus, and is really beautifully written. I found Davenport significantly easier than Apostol, and would recommend it to anyone interested in analytic number theory. Not as familiar with Montgomery-Vaughan — it appears to be bigger, possibly more complete. But Davenport has a specific charm, and is at times like poetry

[modern sphinx]

You’d recommend these over say Opera de Cribro? Or just, Opera de Cribro is too long?

[slender wasp]

Thanks, this is helpful.

[modern sphinx]

I should add though—Davenport has no exercises

[wicked fractal]

This is strange. I found Davenport to be harder to approach than Apostol

Montgomery is still the hardest by far because it covers so many topics

[willow merlin]

best linear algebra book?

for undergrad

and very introductory

with pictures

if it possible that explains what rank nullity is

[fierce hedge]

Why not just watch a video especially on rank nullity? It would probably be much more visual than any book can be

[remote sparrow]

https://www.logicmatters.net/2024/08/21/book-note-westerstahl-foundations-of-logic-i-ii/
https://www.logicmatters.net/2024/08/22/book-note-westerstahl-foundations-of-logic-iii-iv/
https://www.logicmatters.net/2024/08/24/book-note-halbeisen-krapf-godels-theorems-and-zermelos-axioms/
https://www.logicmatters.net/2024/08/28/book-note-marker-an-invitation-to-mathematical-logic-i-ii/
https://www.logicmatters.net/2024/09/04/book-note-marker-an-invitation-to-math-logic-iii/

some new logic book reviews

@torn crypt the reviews for halbeisen and marker might be of interest to you

[willow merlin]

I already watch them but I need a book tbh

maybe I need to grasp the basics first I don't get it

I am looking for a book doe

change of basis is hard to grasp aswell

[visual palm]

Yo what books should i be using for IIT-JEE

[rose talon]

rank nullity is the most intuitive result though. "anything that gets mapped to 0" + "anything that doesn't get mapped to 0" = "everything"

[vocal egret]

I just read Fraleigh's A first course to abstract algebra 8th edition and I feel like Fraleigh's abstract algebra is too wordy, this is more like a manual

Gonna use Pinter's Abstract Algebra instead, I can't catch up with the wordy books

gonna die rn ig

[forest temple]

i recently learned a little about bayesian inference and thought it was really cool. I don't really know anything about statistics besides mean, median, and mode but I would like a beginner friendly book to get me started. Not a requirement, but I would especially appreciate it if the book approached it with a computer science standpoint too

[astral river]

Introduction to probability by Biltzstein and Hwang is a pretty basic beginner-friendly book

Cinlar's probability and stochastics is better, but less accessible to someone who hasn't done as much maths

[livid lintel]

Any introductory books for Maple?

[modern sphinx]

I found that Apostol just had some weird/convoluted/overcomplicated proofs, often avoiding more complicated mathematical machinery from complex analysis at the expense of making the proof harder. But my complex and Fourier analysis background was quite strong when I picked up Davenport

[buoyant halo]

@solid plover book rec channel

[night prism]

Which of his books is this referring to?

[modern sphinx]

Apostol: Introduction to Analytic Number theory
Davenport: Multiplicative Number Theory

[steel cloud]

Should I do all Rudin Exercises ?

[livid lintel]

Sure

[gray jungle]

if you have infinite time. Its not the most efficient use of time

a good selection of exercises is enough to understand the chapter

[steel cloud]

I did almost but I am not sure which one is necessarily and which one not

And I skipped the sequence and series part

[gray jungle]

#advanced-analysis message

[steel cloud]

Ah thank you ❤️

[gray jungle]

well i would spend some time on the sequences and series

thats kinda fundamental

[steel cloud]

Yes but I did sequence parts from Carothers and Tao and some others book

[gray jungle]

ah then you are good

[steel cloud]

And I don't like series it seems like technical

[gray jungle]

you can skip it but just be aware that you'll have to get back to it eventually

[steel cloud]

I don't like sequence questions

[gray jungle]

it will most likely keep showing up

[steel cloud]

Do you know about the Kaczor book ?

[gray jungle]

if you want to build a good toolkit in analysis, these are things you should spend some time on

no i havent heard of it

[steel cloud]

But I like continuity stuffs and metric stuffs

[gray jungle]

just on the top of my head, a very interesting space that shows up often is ( \ell^{p})

[hasty eagle]

James Banach*-alg

[gray jungle]

if you want to do measure theory/FA, you are doing yourself a disservice by not covering these things

[steel cloud]

Yes I want to start a measure theory

[heady ember]

You missed a golden opportunity to be punny... sigh

[viscid oasis]

Hi all, does anyone have a recommendation on fourier analysis?

[marble solar]

At the undergraduate level, Stein & Shakarchi Fourier Analysis

At the graduate level (supposing you've learned Real & Complex Analysis) Loukas Grafakos Classical Fourier Analysis

[molten gulch]

Stein and shakarchi afaik

[loud cradle]

i third the recommendation for S&S

[viscid oasis]

Thanks!

[viscid oasis]

I'll check this one out

[novel hound]

How does Tolstov compare to S&S for Fourier Analysis? Do they cover more or less similar stuff?

[marble solar]

Stein and Shakarchi covers much more material

[proud gazelle]

guys any idea where i can buy a used copy of spivak's calculus?

[remote sparrow]

amazon

[modern sphinx]

You can also use https://www.bookfinder.com/ to find the cheapest copy on the internet

[gusty wasp]

you can easily find it on the internet

[proud gazelle]

I know, but I want a physical copy

[long oriole]

Amazon or math students from a local uni

[trail hemlock]

the latter is very underrated

[willow merlin]

is there any book that explains coordinates with respect to canonical basis intuitively

[radiant orchid]

what book should i read

[molten gulch]

for what

[radiant orchid]

history

[heady ember]

Print it out

[proud gazelle]

Theres no math department in my uni im self studying lol

[proud gazelle]

Yeah thats what am gonna do tomorrow probably

[trail hemlock]

um what

😭

plz dont print out like 682 pages

[proud gazelle]

I think it will still be cheaper than buying a used one and pay for shipping

Will see how much it'll cost

[heady ember]

Bind it yourself

Hardcover

[maiden glen]

Is there a book of obscure formulae such as heron's formula, intercept theorem, vieta's formulae, triangular number theorem. I regard these as obscurities because I find that, from multiple sources; these are not common. Is there such a book which mentions such formulae and more?

[pliant wadi]

Yea I printed it out back when I was a freshie, def cheaper

Ring binding is not bad. Ask them if they can add cardboard at the front and back. The book is massive so you might wanna give it that extra support.

Hell you can add the cardboard support yourself. It's not that hard.

[trail hemlock]

u can just wikipedia it

without a specific subject i dont see u finding anything

other than maybe like Carr's synopsis of pure mathematics or a similar book to that

[signal zenith]

Random comment no one asked for: I’m relearning multivariable calc after a decent amount of other math because I’m preparing for differential tooology. Spivak calculus on manifolds is really excellent

[trail hemlock]

it rly is

i like AoM but spivak is nice

[toxic willow]

What is AoM?

[trail hemlock]

analysis on manifolds

[maiden glen]

the "subject" in the scope for which the theorems suppose should have already occured to you if you knew what I was talking about

[trail hemlock]

you have managed to say a whole lot of nothing. if you cant specify the subject, ur not getting a straight answer.

[maiden glen]

to be fair

the several formulae I seek are not strictly "members of one branch"

oh well

you win

[trail hemlock]

????

anyway yall, has anyone here read Complex Analysis with Applications by Asmar And Grafakos

asking for someone ik who wants a gentle and slightly less rigorous approach to complex analysis

[maiden glen]

by now I would have expected you to delete this message and remake it because the "(edited)" ruins the effect you were pursuing

[trail hemlock]

what are you yapping abt

[signal zenith]

What is bro talking about

[trail hemlock]

no clue

[ivory sable]

whats goodie good gang

[trail hemlock]

Use this channel to ask for book recommendations.

[ivory sable]

Can someone recommend me a good book on pre algebra

need to brush up

[trail hemlock]

i like jacobson's basic algebra I for this

[ivory sable]

I see

thanks

I forgot what a quadratic is fr

[trail hemlock]

kerchoo be so fr

[regal creek]

anyone got any good recs for fluid dynamics

[ivory sable]

I'm cooked bro

I don't recognize any of these terms

[regal creek]

its shit don't rec it

[willow merlin]

best book for learning university algebra

[trail hemlock]

this is insane coming from you

[regal creek]

what is that meant to mean

[trail hemlock]

forgot

anyway

off topc

Use this channel to ask for book recommendations.

[ivory sable]

Think ima stick to Kahn academy man

This book ain't making sense

[regal creek]

imagine mini modding

[trail hemlock]

im embodying the spirit of higher!

[steel cloud]

There are two books by Folland on measure theory, a guide to advanced real analysis, modern techniques

[remote sparrow]

he gave a troll recommendation

[trail hemlock]

kerchoo knows damn well

hes kidding

[ivory sable]

Not true

The rumors are false

Fr tho

Pre algebra textbook recs