Textbook thread

hi i am going to take algebrage and logarithm courses this summer
could someone give me tips for good boek

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>>7836742

>>7836518
I love that book OP

Are the mathematics books listed in the guide in the sticky up to date (https://sites.google.com/site/scienceandmathguide/subjects/mathematics)? I mean, obviously the content probably doesn't change much, but books that teach that content more effectively might've been released.

I took some baby calculus courses in college, but I really want to self study and get deeper into it. Not sure what books I should go with.

>>7837493
http://4chan-science.wikia.com/wiki/Mathematics
http://4chan-science.wikia.com/wiki/Math_Textbook_Recommendations

>>7837500
Perfect.

>>7836658
Have you really read this?

>>7837785
Yes, I've even contributed into it. I've read about 4 chapters from Part I and superficially skimmed Part II. It's really fun and I can't wait for the second edition.

>>7837785
>>7837808
But yeah, it's a meme and I wouldn't say it belongs to either my loved or hated ones.

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>>7836518
Literally my bible. The examples are so clear, it covers everything and it's even quite rigorous sometimes.

>>7838513
>it covers everything and it's even quite rigorous sometimes
thats what ur wife said about my dick xD

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The Best.

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Great fucking book.

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>>7836518
Quite a rigorous course, but with hard work, anyone can manage an ok GPA

>>7839327
its funny you say that because algebra is the number one failed subject. arguably harder than calculus.

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>>7836518
literally GOAT

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This is fantastic.
You'd probably want to be familiar with algebraic geometry and homotopy theory before hand, but it goes over a lot of the prerequisites in the first half of the book.
A lot of it is available online on the various authors websites.

>>7836658
Not as good a some people think, but not as bad as what the others think either.

>>7839337
like i said, rigorous

>>7839353
>prerequisites
>first half of the book

>>7839278
+1 for her books on Analysis, Manifolds and Physics, I don't know this one.

>>7840262
It's grad level, it's not that weird.

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Best book I've ever read.

What's a good calculus book that can supplement Stewart? That is the book we are using in class, and we HAVE to do exercises out of that book and turn them in, but what is something I can use alongside it since it seems like Stewart's isn't that great

>>7840308
Stewart's is fine, you will find few books with such quality graphics, it's rigorous enough for an intro calculus text (moreso than most alternatives) which in itself is not a rigorous field and will be useful as a reference. It's a bit long which is why people complain (and because it's more popular than their favourite textbook). People who complain about lack of rigour in Stewart's have never read it, you can read everyone's favourite textbooks to compare, none of them are rigorous throughout, they all have the same sporadic proofs Stewart injects. That's just what calculus is, ie not analysis.

Here's some alternatives:
http://4chan-science.wikia.com/wiki/Mathematics#Single_Variable_Calculus

>>7840326
>People who complain about lack of rigour in Stewart's have never read it, you can read everyone's favourite textbooks to compare, none of them are rigorous throughout, they all have the same sporadic proofs Stewart injects. That's just what calculus is, ie not analysis.
How much retardation can you cram into one post.

>>7840308
First off, you should only be looking for a supplement text if you want a rigorous intro to the subject. If you're only interested in the cookbook-style (i.e. you don't want proofs of everything you read) stuff just watch some youtube videos.

That said, if you do want a rigorous supplement take a look at vol.1 of Courant if you're a physics student and Spivak if you're a maths student.

>>7836866
Dumb weeaboo

>>7840358
Courant is too expensive :(

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Is this the GOAT for Orgo?

>>7839337
it's the algebra in calculus that makes it difficult

>>7841408
>>7841408
Clayden bro

What are some good algebra books for after ones first course/sequence on abstract algebra?

>>7841677
Lang

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this one

but this one is good too>>7838513

>>7841677
Aluffi

Stewart Calculus is pretty awesome

Could anyone recommend a good introduction to C++ and numerical methods?Particularly featuring a lot of linear algebra.

I'm looking to implement some common matrix algorithms (QR, LU, SV decomposition, finding eigenvalues etc.) and I'm struggling to find books.

The books I've looked at so far have been outdated, not advanced mathematically or have assumed to much programming background.

I've got experience in Matlab and Python, but not to any great degree.

>>7836703
Has anyone read this? Could you recommend it or is there a cheaper alternative?

>>7843343
I have an amazing recommendation wait till I get home . if not bump for this guy

>>7843343
bump for this

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so is now the part when I kill myself, or later?

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>>7843800
Ok try this one

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>>7843800
Ok try this one >>7843917
>>7843917
Get your bases on cpp here

>>7843343
Please consider just reading a book on C++ and then read a book on numerical methods.

http://www.amazon.com/Parallel-Scientific-Computing-MPI-Implementation/dp/0521520800/
http://www.amazon.com/Scientific-Engineering-Introduction-Advanced-Techniques/dp/0201533936/

>>7843930
Which book

What do you use to read your textbooks, /sci/?

>>7844211
My eyes?

>>7844211
Muh dick and braille

>>7844217
>>7844220
I mean, did you buy the book or do you just read pdf files on your computer? maybe even a tablet? I dislike reading from a monitor and textbooks are fucking expensive

>>7841677
http://4chan-science.wikia.com/wiki/Mathematics#Second_Year_Algebra_.28Graduate.29

>>7843544
http://www.inference.phy.cam.ac.uk/mackay/itila/book.html

>>7844055
Programming: Principles and Practice Using C++ by Stroustrup

Matrix Computations by Golub and Van Loan
Numerical Linear Algebra by Trefethen and Bau III

>>7838557
No that sounds like his wife acting with regard to your dick
Nice attempt tho

>>7844374
thanks senpai

Is Euclid's Elements really worth the time? It seems pretty obsolete.
What's your opinion?

>>7843914
Is that for high school fags? I really need to brush up on my HS geometry.

>>7845124

If you want to understand the subject's history, yes.

>>7845124
No. Read Tarski, Hilbert, Whitehead and Birkhoff instead.

>>7844223
Go to your uni library

>>7845125
Bump

>>7841677
A bit more basic than lang, but i reaaaaly like Knapp's presentation in his "Basic Algebra" and "advanced algebra." Anyone else have opinions on these?

Speaking of favorite books, I think that all of Milnor's books are great. Bott and Tu is a masterpiece. A lot of other books I find are really useful for specific areas of research/reference, but few that I really love like the above. Maybe Demailly' notes and Griffiths-Harris (find the errata!) are up there. Oh yeah, and anything by Eli Stein (his princeton lecture series are perfect for advanced undergrads...helps you really 'get' what analysis is all about, and his harmonic analysis texts are bibles, don't know TOO much in them though). I also love any well written book on distributions because they're beautiful.

Any tips on how to learn about geometric representation theory? I have basic graduate knowledge of subjects, including basic representation theory and lie theory and in depth knowledge of complex geometry --analytic techniques (Demailly style) and algebraic geometry, but from the more geometric perspective :(

I just really want to read a bit about geometric representation theory because it seems sexy. Book suggestions?

>>7847299
Could you elaborate a little on what you think of Knapp's books?

Is Basic Algebra too terse for a reasonably sophisticated undergrad to use as a first look? (I have a theoretical linear algebra course and a decent amount of analysis behind me)

I've seen a couple of posts saying good things about them but some of the details of the book leave me a bit unsure (categories pop up and fairly early, although I'm not sure how much they're relied on, and the pace in chapter 4 on groups seems absolutely blazing compared to other texts).

>>7847318
Yeah, I think it can be a little hard as a first text. It's not that the material he presents assumes you know a lot already, but his pacing in some places does (as you noticed). It goes through some details a tad quickly for someone who hasn't seen them before. For gentler introductions that aren't "easy" (like Galiian I think is way too easy), I only know of artin and dummit and foote but I don't know many others. Artin has a very unique style that some people dislike (I like it :/). Dummitt and Foote is very detailed and comprehensive yet approachable (does not introduce stuff from categorical perspective). These qualities make it a favorite for a lot but it can get kind of dull. Nice thing is if you're self studying from D&F there's solutions to many of the exercises online. I don't really know of what the "best" introduction is. A lot of people here seem to like Pinter. I've never looked at it, though.

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>>7847299

>>7847299
https://www.mpim-bonn.mpg.de/webfm_send/17
^ short advertisement for categorical sl_2 actions
if you've seen irreducible representations of sl_2 constructed you'll probably enjoy it

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my absolute bible for algebra

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i remember this shit back when i was in 6th grade

>>7847397
This thing desperately needs a second edition, or at least a second printing

It's such a great book but it looks like it was edited by a baboon
his errata is enormous

>>7847415
welcome to 2016:
>Note: A second printing of the book is projected for the end of ... February, and will incorporate the errata listed here but include no other major changes.
http://www.math.fsu.edu/~aluffi/

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>>7843923
i have this book (3rd edition) since i am 15 or 16.

still using 10 years later.

>>7847340
I'm going through Pinter and it gets quite tedious. The theory is well explained and motivated, but usually there's about 5-8 pages per chapter and then there's 30+ exercises, and a lot of them are somewhat trivial, so it gets annoying to do all of them or knowing which of them are harder.

>>7847610
OK I got this now my question would be how can you advance from a advanced beginner to intermediate onwards. C++ or C books would be super welcome

>>7848138
Just start programming. If you are a beginner I assume that you already know all about C++'s rules. Now you have to apply them. First go read some sample code online to see the proper styles people use. Then just #include "windows.h" and try to make something useful.

>>7848173
Any idea of the depth of a project you would like to see in order to hire a junior cpp programmer ?like a parsing engine how deep would you need it to be? A raytracer ? I have a molecular biology degree tho so how to convince you I'm not shite

>>7848203
#1: Something that utilizes the standard library a lot, to show you know your away around C++
#2: Something that uses external libraries that most companies will be using. Again, windows.h is the best option for this
#3: Something that connects in one way or another to the internet. Just make a SQL database and have your program retrieve and/or send data to it.

What that could be? Many things, really. A good place to start thinking is your own degree. But if you are stuck with creativity there, then just google intermediate/advanced C++ projects and do them.

>>7848226
Awesome. I'll get on it. Thanks anon

>>7847420
Bumping

>>7847405
I am jealous of people who learned algebra 2 in middle school.

>>7849023
I did that shit 11th grade... Portugal sucks

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ME here, pic related is shit and my professor agrees (he prefers Shigley). The design questions are pretty much incomprehensible in what they ask for.

>>7849345
fug. thats the book my school uses and i'm taking machine design next semester.

>>7841458
ikr idk what hes talking about.

>>7847610
I took all my c++ courses with him

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Have not come across another book that is so authoritative on a topic as this one is. The detail this book goes into is incredible

>>7850077
More like this guys

>>7840308
Stewart is a good book, but if you want a supplement then I guess Spivak is a safe choice

>>7845124
Of course it's worth your time, if you have the time. So is Hilbert, Tarski, many others.

This board is full of people who think they should read and idolise one book at the expense of all others.

For the last 20 years or so, I've read every mathematical book I could get my hands on.

>>7850557
Ffs 20 years of experience this thread is made for you brother, give us some books that you loved doesn't mean others suxk. What are the most worthwhile reads you've had

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>>7850710

>>7850551
Stewart is nothing but a cookbook of algorithms on how so solve trivial problems. It is at most, a useful reference for tricks used in calculus. that is all

>>7841408
Wade is.

>>7851658
Clayden