Mathmatics and Books

Not really sure if this belongs in in /lit/, but I'm going to take a chance. I'm looking for books in any format that teach any and all mathematics. Be it basic or advanced. Does anyone have anything?

chirp chirp chirp chirp ...

libgen.io

>>3163 You should go and check out /sci/'s Wikia.

>>3165 Whoever you are lain, I appreciate you for sharing this with me. Thank you, and I sincerely mean it.

>>3163 khan academy?

>>3163 -libgen. -Processing Programming Language Manuals: https://processing.org/books/ look for them in libgen. maybe this is what you are looking for? geometry calculations?

>>3163 If you're looking for more discreet stuff this might be what you're looking for

There's a thread on Random with a bunch of suggested math books from arithmetic to analysis. >>14228

>>3165 Alternate sites: http://gen.lib.rus.ec/ http://b-ok.cc

Here are some nice books about mathematics that even I can understand.

>>3163 A lot of college math professors will have the textbooks for their courses on their website for free (pretty common here at UCSC)

>>4199 College textbooks tend to be beyond soykaf, though.

>>4215 not in my experience

>>3163 I'm currently working through this book and it's absolutely my favorite math book that I've read so far. Each chapter explains a self contained concept without a great deal of unnecessary details, staying on topic and rarely taking more than a few pages per chapter. There are usually less than 10 exercises, and often only a few, at the end of each chapter- but each exercise forces you to think clearly about the concepts introduced in the chapter. Great for developing your familiarity with the natural numbers without necessarily having to be a mathematics major or something like that, all you need is an interest in the subject and the ability to work one step at a time.

The most important thing is to solve hundreds of problems and work through proofs line by line until you can understand how they work from the inside out. It's difficult to recommend materials without knowing your present level of numeracy. There are good educators on YT that go through everything up to a fairly high level to a very good standard, don't sleep on that. But really, pick a topic and find multiple sources and consult them all. For anything serious, there isn't a single, canonical textbook that beats them all; some subsections will click better for you from book A, book B... or teacher C, D... &c. Oh and avoid popsci BS that has no depth, of course. If it doesn't have any difficult looking formulae and doesn't demand a lot of reader-side brain stretching it's basically trash.

I've accumulated approximately 2300 books, mostly in English some in Portuguese, more than half of which are math textbooks. It's getting to the point where if I want to study a topic related to math, chances are I have at least one or two textbooks to choose from already in my collection. Mostly they're advanced topics but the basics are in there too of course. The collection started off from parts of the gentoomen library and ballooned over time. I'd be happy to provide a torrent if people want -- it's pretty big (many files are in both pdf and djvu, I've done my best to keep out duplicates, on average each book takes up 12 MiB)

Here you go fren

There are two very nice books called "The Princeton Companion to Mathematics" and "The Princeton Companion to Applied Mathematics". They give a very broad overview over pure and applied math. You can easily find the pdfs online for free (not sure if I can post them here as sharing them would be illegal), but I even bought the paperback version of the pure math one for 80€. Why so expensive? It has over a thousand pages written by world class mathematicians and even field medallists. What makes this book special is first of all the huge amount of mathematical topics it covers, going from the basics to topics of current research in many branches. It also covers the history of mathematics and short biographies of many important mathematicians. The authors also show the connections between the different ideas in an understandable way, which is something that most textbooks that focus on a single topic miss. Another trait that makes this book special is the depth. There simply don't seems to be no resource out there that has the same level of depth and accessibility. Popsci, YouTube videos and documentaries are more accessible, but you will only learn the main idea behind a topic and washed-down applications that look cool. Even for someone who is just looking for an overview over mathematics, this will likely not be deep enough. Real textbooks on the other hand are much deeper than the Princeton Companion, but less suitable for giving an overview because they usually don't show the connections to other topics and also don't highlight the differences between important concepts and obscure niche lemmas. Tl;dr: The Princeton Companion to Mathematics gives a nice overview over many mathematical concepts that is better than popsci resources. However if you want to deeply learn a topic (with proofs, lemmas and exercises), you would be disappointed.

The most important thing in learning mathematics is doing the exercises. Whatever book you choose, make sure it has a multitude of difficult exercises that cover everything in text---and do all of them. No cheating by looking at the hints or answers, either! You'd be cheating only yourself. If you don't get it, and you read the upleading text, it means maybe that specific book doesn't cover that specific part well---so try another book, but don't, I repeat don't, try to look at the hints, answers, solutions,, until you've solved it yourself. Mathematics has that power that if you've solved it, then you'll know you solved it without having to look at someone else's answer or solution. See also >>4774 >I've accumulated approximately 2300 books, mostly in English some in Portuguese, more than half of which are math textbooks. It's getting to the point where if I want to study a topic related to math, chances are I have at least one or two textbooks to choose from already in my collection. Mostly they're advanced topics but the basics are in there too of course. I'm really sorry for your loss. It's really a shame you were made to go through and collect so much garbage (yes, most of it will be garbage---I don't care what books you have, it's highly unlikely that you personally appraised so many books; it would have been more efficient to look carefully at each book to determine how good it is: a collection of a dozen excellent books is better than a collection of a thousand good or great books) >The Princeton Companion to Mathematics gives a nice overview over many mathematical concepts that is better than popsci resources. However if you want to deeply learn a topic (with proofs, lemmas and exercises), you would be disappointed. If it doesn't go over proofs, it doesn't go over mathematics. It would be a presentation of something mistaken as mathematics, tied up into a business suit and caged for the philistines' viewing pleasure. In my opinion, that's worse than vapid popularizations, whose readers have no pretense of intelligence, because their vapidity is patent. I'd sooner recommend the BS handbook.

>>5444 >a collection of a dozen excellent books is better than a collection of a thousand good or great books) not if you want to learn about niche subjects in depth. Then it is unlikely there will be *any* excellent book on the subject you want, sometimes no book at all except perhaps some published notes from a symposium. The best way to build up a mathematical book collection is to take an excellent book that you enjoyed reading, go to the bibliography section, and pick up every book and paper you possibly can from that bibliography. Repeat every time you finish a book that you feel is excellent. As a result you will build up a large collection of 'classics' and encyclopedias, which are useful for re-learning a subject that you already know, and a large collection of papers and obscure books on advanced topics that may be interesting down the line. Since you have so much storage space it is better to cast a wide net. Of course, only the best books should be owned in print form. Another strategy is to find a good survey paper, which is a sort of publication that just summarizes recent research in an area, and read the results and follow citations there. >If it doesn't go over proofs, it doesn't go over mathematics This is a common misconception. Some of the best books(for instance, V.I. Arnold's books on differential equations and mechanics) contain few rigorous proofs and focus on building intuitive understanding. This allows the author to present advanced information without getting bogged down in long technical proofs(which are either omitted or left for the end of the book). The student is expected to prove things on their own, or to seek proofs in other texts. I think that for a mathematically mature and motivated reader this is the ideal form of introductory textbook.

>>5444 >The most important thing in learning mathematics is doing the exercises. This, 100%. All the stuff you read in the book or heard at the lecture, and understood perfectly and clearly, did not teach you much. It motivated you to check your real understanding by solving the exercises. And that's where the hard process of learning really begins.

Why do we have 3 threads on the topic, all of them on the first page?