/sci/ - Science & Math

It's going to take you over a year to consume any one of those books on your own. Why not get to work on what you have instead of collecting a bunch of books you'll never use?

I'm not insulting you. I did the same exact thing.

>>7507729
This.

But if you were going to add one, perhaps a good book on linear algebra.

>>7507729
I've got to disagree with >>7507735, I managed to do How to Prove it in a couple of months, I think it might rest on how determined you are. Also I'd put Lay in between Stewart and Rudin.

>>7507735
I definitely know what you mean. Just thumbing through Rudin makes me doubt if I will ever get to that level, but I like collecting things so...

>>7507744
Did you work on it every day? How many hours?

>>7507752
Pretty much everyday, I'm not sure how many hours but I'd imagine 6 to 8 per day. I found taking caffeine supplements allowed me to attain autistic levels of focus.

>>7507735
Pinter's book is very easy and p much made for self study. I think it's a great book, though not on its own (almost leaves out too much to give you a good picture). I used Pinter to help intuition to get through Artin's Algebra in about 4-5 months. It is totally doable and is overall a very useful subject. At the time, I had minimal mathematical background, just basic LA.

>>7507729
Don't bother with Rudin until after you've got calculus and how to prove it under your belt. They're pretty much prerequisites and even with them under your belt it will be a very tough book.

>>7507744
Definitely agree with Lay's Analysis being a good book to read between Stewart and Rudin or even as a supplement to the first part of Rudin (Lay doesn't do multi-variable). I'd even go as far as to say that Lay's Analysis is a better book than Spivak's Calculus.

>>7507729
You're missing the most important foundational book.

>>7508096

>babby rudin

That's actually pretty solid. Get a good foundation from those and you can study most things immediately. I'd include spivak's calculus on manifolds after an abstract linear algebra text.

>>7507729
I Read How To Prove It, is good.

>>7508096
i a book that can help prove stuff in multivariable calculus, what do you guys recommend?

>>7508145
Spivak, calculus on manifolds

>>7507729

Differential Equations with Applications and Historical Notes by Simmons
An Introduction to the Theory of Numbers by Niven, Zuckerman, and Montgomery
Differential Geometry of Curves and Surfaces by Do Carmo
A Course of Modern Analysis by Whittaker and Watson
Princeton Lectures in Analysis by Stein
Topology by Munkres
Algebra by Artin

all hail based dover.

>>7508152
this. i think reading munkres topology first is helpful. there were some problems where i used algebraic topology

>>7507729
I'm currently reading Calculus by Stewart, 8th Edition, early transcendentals.

I'd recommend that you use that, in addition to or in place of Spivak (with which I have no experience)

Baby Rudin the best

A textbook thread?
Why can't I find "A History of Western Music" (Burkholder/Grout) in pdf? There isn't any edition on libgen, for example.

>>7507763
what caffeine supplements?

>>7509711

I took calculus 2 years ago in HS but haven't done it since. I'm going to start taking it again (just the same first year course) for college in a month. Is the Stewart book a good refresher to get me prepped? Why do you like it?

>>7510447
http://gen.lib.rus.ec/book/index.php?md5=7d475d8b3a0a1a8f1002a68ef2e8fad7

I used bookzz.
Take a look yourself.

It just seems to be geared towards a relatively deep level of understanding. For example, I couldn't find anywhere which easily explained Euler's method; but this book seems to do that.

I'll be honest though, I'm not American so I have no idea if it will help you; but I did find it quickly in my English university library (top 10 globally) and other anons here recommend Stewart.

tl;dr, it should be good for starting at the beginning. The link above will let you download the book pdf

>>7510151
get caffeine pills online 200mg

>>7510455

You can actually find them at Wal-Mart or most large drug stores in the supplements section. It's usually marketed for pre-workout.

why collect books you're never going to read?

Euclid's Elements.

>>7509711
Stewart and Spivak are very different books. Stewart is a standard Calculus book, good for intuition and learning the tools of Calculus for application outside of Mathematics. Spivak's book is basically introductory Analysis.

Spivak is good for: Math majors, people who want an introduction to proofs and rigor, people who are preparing for analysis.

Stewart is good for: People who are majoring in STEM fields outside of math, people who will be applying the tools of Calculus, and people who will never have to deal with proofs.

I would add that OP could consider looking at Stewart after Spivak if they are interested in practicing some of the specific applications, though it likely wouldn't be necessary.

>>7510625
But does Stewart have something that Spivak doesn't? Sounds like you are saying that Spivak is like Stewart but added rigor and proofs.

>>7507729

>>7510836
Stewart has a fuckload of tricks and techniques that can save your ass from doing a fuckload of work in special cases. You should read both books, probably Stewart before Spivak. In fact I would just recommend Lay's Analysis as a replacement for Spivak. Lay starts out with some basic formal logic and gives a set of axioms for the real numbers. This is more rigorous than Spivak since Spivak starts off basically saying "you know how numbers work from high school, so lets do a bit of arithmetic practice and just use that as our foundation". Spivak does include a bit about the foundations of real numbers in the Appendix but it pretty much just refers you to other books (like Landau's Foundations of Analysis, which is also worth checking out if you're into airtight rigor).

I'll use a car as an analogy. Landau is a step by step walkthrough of how to build a car from scratch. Spivak is a manual that describes how the car works in general. Stewart is a driving course that teaches you to drive the car in all sorts of different conditions (e.g., if you find yourself driving down a curvy hill on icy roads with no power steering then here's a simple trick to let you trivialize the entire problem).

>>7510455
do i need to stop taking them after a bit or will I still feel the effects after a week of using them. I have a good tolerance for caffeine.

>>7507735
How can it take such a long time?

>>7511585
It doesn't take that long. Just do about one section per day, only going forward when you've finished the exercises and you're reasonably comfortable with what you learned. I went through How to Prove It in about 5 weeks (it's short). The others will probably take longer. Spivak's Calculus might take you a couple of months.

>>7510982
Shit textbook jesus christ

So many better diffq texts

>>7511612
such as?

>>7510982
this but get the sixth edition it's literally $1 on Amazon and it's the same shit

Here's my e-book collection/ libgen mirror:
http://1drv.ms/1HsCSP9

sage because I'm shamefully self-advertising

http://www.amazon.com/How-Think-Like-Mathematician-Undergraduate/dp/052171978X/ref=sr_1_1?ie=UTF8&qid=1441527672&sr=8-1&keywords=how+to+think+like+a+mathematician

http://www.amazon.com/Mathematical-Proofs-Transition-Advanced-Mathematics/dp/0321797094/ref=sr_1_1?ie=UTF8&qid=1441527779&sr=8-1&keywords=proofs+mathematics

Anyone with experience of these two books?

>>7511852
Tenenbaum's

>>7512601
>http://www.amazon.com/How-Think-Like-Mathematician-Undergraduate/dp/052171978X/ref=sr_1_1?ie=UTF8&qid=1441527672&sr=8-1&keywords=how+to+think+like+a+mathematician

I have this, I thought it was brilliant, though you may find it basic. I read it when I was 16. You can find a pdf very easily by googling.

>>7512601
liked the first one for bits of not-so-formal instruction. i think it can be helpful during your first or second year, when you still can't tell your asshole from your elbow.

the second one is just another generic set theoretic intro to proofs, and i'd say it falls a little bit flat, but then again i just skimmed over it without doing any problems.

for fasttrack into proofs i'd recommend Sollow's "How to do and read proofs", and after that "Number theory through inquiry".

>>7512653
Basic is what I am goin for.

>>7512665
I will look up those two too, thanks.