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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What are some sources for mathematics lectures?

Is there any resource with a massive variety of high quality mathematics lectures to watch?
julkarham
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Square root property proof

Can anyone provide a link to a proof of the following square root property $\frac{\sqrt{a}}{\sqrt{b}} = \sqrt{\frac{a}{b}}$. Could not find it online anywhere.
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Books with a summary at the end.

Are there any textbooks in linear algebra, analysis, or algebra which provide a summary of the ideas presented in the chapter? A similar question has been asked earlier List books with end of chapter summaries The image is taken from the NCERT 12th…
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I'm trying to learn, or revise from Artin algebra, 2nd edition

I'm trying to learn, or revise, Artin algebra, 2nd edition. I'm working alone; that is, I'm self-learning. It is quite fun. But the problem is how do I check if I've managed to arrive at a correct solution to an exercise problem? Can I get hold of a…
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Math book with horsemen tessellation cover

I am looking for a math text I read when I was younger that had MC Escher's 'horsemen' tessellation on the cover. One of the Horsemen was colored red and the others in grey and white. As I remember, the book covered a wide variety of topics. The…
cowchee
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Reference Request: stochastic difference equations

I am familiar with stochastic differential equations, and am aware of references for this topic (e.g. Oskendal). Similarly, I am familiar with stochastic processes and time series. What I am looking for is a text analogous to Oskendal for stochastic…
GeauxMath
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Linearly compact module

I must prove some results which relative to linearly compact module, but it is difficult to find all references. Two of them are : 1) T. Onodera, Linearly compact modules and cogenerators. J. Fac. Sci. Hokkaido Univ. 2) F. L. Sandomierski,…
Q.TL
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References for learning Thompson's group $V$, $F$ and $T$ and their properties

I want to learn about the structure of Thompson's group $V$, $F$ and $T$ and their properties. I also want to know about the properties of actions of these groups on $\mathbb{S}^1$ and the cantor set $\mathcal{C}$. I am aware of the following books…
tattwamasi amrutam
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Reference request for compact trace embedding for anisotropic Sobolev spaces

Assuming $Q$ is a bounded domain that's as regular as we would like. I am familiar with quite a few trace results, such as the trace embedding $W^{l,p}(Q) \hookrightarrow W^{\bar{l}, p}(\partial Q)$, as is the compactness of that embedding for…
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Is there a Bayes rule for when some of the random variables are discrete and continuous?

Let $X$ be a continuous random variable, and $Y$ be a discrete random variable Is there a "Bayes rule" for: $P[Y | X = x]$ where $P$ is the probability mass function of $Y$? Any reference help!
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A variant of submodularity

A function $f: \mathbb{R}^2 \to \mathbb{R}$ is said to be submodular if for all $x,y \in \mathbb{R}^2$ it holds $$ f(x \vee y)+f(x \wedge y)\le f(x)+f(y). $$ In particular, if $x_1 \ge y_1$ and $x_2 \le y_2$, this means that $$ f(y_1,x_2)+f(x_2,y_1)…
user207096
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Reference for detailed exposition of Recursion/Computability Theory.

I am looking for a reference that contains as much detail on recursion theory as possible. Many books that I am going through, such as Computability Theory by Barry Cooper and Recursively Enumerable Sets and Degrees by Robert Soare, avoid going into…
Sprinkle
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Is there a good repository for mathematical folklore knowledge?

Among mathematicians there is lot of folklore knowledge for which it is not obvious how to find original sources. This knowledge circulates orally. An example: Among math competition folks, a common conversation is the search for a function over the…
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What is the name of this partial differential equation?

What is the name of the following equation? $$f_t = \nabla \cdot(a(f) \ \nabla f)$$ of course , if we removed the dependency of $a$ on $f$ then we would have the heat equation.
user557590
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Which Stats Text Is More Math-Intensive?

I have tried many stats textbooks and none of them really works for me. The issue is that there are too many formulas and too little proofs or derivations. Some of these formulas are really technical (ugly) and you can't get the feel on what's…
Andy Tam
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