Questions tagged [reference-request]

This tag is for questions seeking external references (books, articles, etc.) about a particular subject. Please do not use this as the only tag for a question.

This tag is for questions seeking external references (books, articles, websites, etc.) about a particular subject. It is intended for use along with other, more "mathematical" tags. Please do not use this as the only tag for your questions. See this discussion on Meta.

20936 questions
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Anyone read, "What is Mathematics" by Courant?

Has anyone read this book? It has really good reviews but I'm not sure if it's suppose to be for people who already know the material but want an intuitive understanding, or for people expecting to learn something completely new. I tried to read…
Kat
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A source for the counterexample of Kadec 1/4 theorem

Taken from Austin, Anthony P., and Lloyd N. Trefethen. "Trigonometric interpolation and quadrature in perturbed points." SIAM Journal on Numerical Analysis 55.5 (2017): 2113-2122.: Kadec's theorem is an answer to a question of sampling theory that…
Mark
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Is there a known mathematical term for the set of integer coordinates inside an $n$-dimensional cube?

For example, for a $4$-dimensional cube of size length $10$ this set would be $\{(x,y,z,t)|0 \leq x,y,z,t \leq 10 \land x,y,z,t \in \mathbb{Z}\}$ I am interested in this structure but all online references I can find use terms like "$n$-cube" to…
aellab
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Recommend books for this syllabus

(Note: Mods, this is not a maths question per se, so please delete immediately if this is not in line with what is expected here. To all those gearing up to vote down - save it, vote to delete instead.) I'm planning to buy a few books (Elementary to…
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Numerical Methods Texts, mid-level.

what are the 3-4 numerical analysis/methods texts, that you value as best? I would prefer a mid-level treatment, balanced between theory and applications. Right now, I'm using the book by Sauer. It is pretty good, but I wish to couple it with a…
MadHatter
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Where can I find Conway's "All numbers, great and small"?

I am doing research on the surreal number field and I would like to see the original papers by John Conway. I have attempted to obtain them but the results have been unsuccessful. I would like to know where to find this report.
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A book of wheels

I heard that exist a branch of mathematics called wheel theory that extends the concept of commutative ring, and in it can be defined "division by zero", I want to read about this stuff, but I can't found any reference, so, anyone of you know a book…
Fenrir
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Book for probability to be useful in machine learning

How would you recommend Sheldon Ross' A First Course In Probability for the purpose mentioned in the title? (i.e. to be of significant use while studying machine learning) An advice book on Linear Algebra & Statistics & whatever it takes to…
amitlan
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Proof of Liouville's Theorem(Conformal mappings)

I'm looking for a proof of Liouville's Theorem for conformal mappings. I can't find any proofs online in English (I'd settle for a German proof, though I'd take forever to read it. I cannot speak or read French or Russian however). The local library…
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Bernstein's minimal surface problem

Does anyone know some good reference for this? For your convenience, here's the Wikipedia page on it, on which you can find the statement and the problem proposed: http://en.wikipedia.org/wiki/Bernstein%27s_problem Specifically, I'm looking for: A…
SGh
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Reference request for a theorem in Lee's Smooth Manifolds

In Lee's book Introduction to Smooth Manifolds, he remarks on page 25 that It is a fact (which we will neither prove nor use) that $F: U\rightarrow \mathbb R^k$ is smooth in this sense if and only if $F$ is continuous, $F|_{U\cap \text{Int…
Potato
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Where can I find these lectures notes? - Method of characteristics

In this post, the OP inserted parts of his lecture notes on the method of characteristics. Are they available online? Are they part of a book? I've searched the internet but I could not find anything. Where can I find them?
Dory
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Which area of mathematics studies such iterative systems

Suppose we have a family of functions $\{f_1,f_2,\cdots,f_n\}$, all are $ f_i:\mathbb{R}\to\mathbb{R}$. For simplicity, write $f_i(x)$ as $f_i x$. So $f_if_jx=f_i(f_j(x))$. Let $i_j$ be a number in $\{1,2,\cdots n\}$, and $j$ is the index. Now…
taper
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A good companion to Axler's "Linear Algebra Done Right"?

Seeing as Axler is very reluctant to talk about determinants and generally avoids computations and playing around with algebra, I'd like to get a book that will serve as a companion to Axler's unorthodox approach. I'm not terribly interested in…
Ius Klesar
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Cheat sheet for various Mathematic topics

I was searching through the web to find out any webpage which contains the consolidated list for all mathematical cheat sheets in various topics in one place. I couldnt find one. It would be good if we can share the known cheat sheet links in this…
Learner
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