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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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Generalization of sum of powers and arithmetic progression

Friend of mine, have found a formula for the summation $\sum \limits_{i=0}^{n-1} (a + d * i )^k$ for given $k,n \in \mathbb{N}$ and $a,d \in \mathbb{R}$. He checked it for many values, and professor in BGU proved it. The formula he found is…
Ahmad
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How can I find scholarly articles that are not written in English?

I usually need to find some articles in other languages (French and German, etc). I googled the reference provided on the book but I seldom found what I need. For example, how can I find this article What website should I use? I tried to use my…
user547265
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Modular forms from scheme perspective

I am trying to learn about $p$-adic modular forms through N. Katz's text, but I am finding it hard to follow their treatment of classical modular forms in the first chapter. They define an elliptic curve as a map $E \to S$ where the fibers are…
MT_
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Foundations and fundamental concepts of mathematics

I've got a little question about the book "Foundations and fundamental concepts of mathematics (third editions)" from Howard Eves. There are lots of exercises in the book, but the are only solution suggestions for selected problems in the book. I…
WinstonCherf
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Seeking a book where theory follows application, but theory doesn't suffer

I'm a Ph.D. student in pure math (algebraic topology) going into my fourth year. I'm interested in visiting Earth. I have a dream book in mind: in my dream book, the discussions begins with particular real-world problems, as concrete as can be, and…
Eric Auld
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Proof of a Ramanujan Statement

I recently came across the approximation $$\ln n! \approx n\ln n - n + \frac{1}{6}\ln(n(1+4n(1+2n)))+\frac{1}{2}\ln \pi$$ Supposedly this was written in Ramanujan's last notebook, but I can't seem to find it anywhere else, nevermind a proof for it.…
Vedvart1
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Theta Series of D16+ lattice?

What does the theta series of the even, unimodular, positive definite lattice D16+ look like? Also, is there a way to look this information up for any lattice?
anon
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Feit-Thompson's odd order theorem

I could not find the original paper by Feit and Thompson about solvability of groups of odd order. Is there any pdf version of this paper?
mesel
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Where can I find a proof of Poyla's Theorem about a positive polynomial?

I keep finding uses of the theorem but not the proof of it. The theorem is: If $p\in\Bbb{R}[x_1, ..., x_n]$ is homogeneous and positive on the set $$\{x\in\Bbb{R}^n\mid x_1\ge 0,...,x_n\ge 0,x_1+...+x_n\ne 0\},$$ then there exists an integer $m$…
Andy
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References and books

I am a post graduate student and want to strengthen my base in mathematics. So please suggest me reference books about the following subjects, from which I clear my doubts and gain a lot of knowledge. The subjects are Real analysis Linear…
saman kumar
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Flexagons - where to learn the theory behind them?

The subject says it all! A friend of mine introduced me to these cool objects made of paper strips, and I was wondering if anyone could point me to any resources (ideally freely accessible) to learn more about the mathematical theory behind them.
just_curious
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Is this a well-known game?

In the last two days, I got a bit obsessed with the following game, partly because I beat others most of the time I play it. The gamers are expected to have a sound logical reasoning coupled with the ability to analyze data. Here is the rule of the…
Tibebu Haile Yilma
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Introduction to Thermodynamic Formalism?

I am searching for an introduction into thermodynamic formalism. I am studying mathematics and would like to get to know this. Maybe you can recommend some books or articles that are good for an introduction? Some notions are Gibbs-measures,…
mathfemi
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Fermat's Notes on Diophantus

I am looking for a free online copy of Diophantus' Arithmetica as well as Fermat's Notes on it. After some google searching, I couldn't find any. Thanks for your help! Edit: English translation please, I'm still learning Latin.
mtheorylord
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Reference request: AI for mathematicians

I am looking for books on AI and Machine Learning written for PhD + level Mathematicians. Is there anything like this? Thanks, Vladimir
Volodymyr Kruglov
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