Mathematics Stack Exchange
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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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Is there any wide sense but introductory Book series/websites for mathematics literature? (just to be familiar with)

Is there any Book/Book Series/Website which illustrate advanced mathematics but in concise and basic form. I just want to be familiar with the literature and I don't want a deep exploration of the topics. What I want is a near complete survey on…
SddS
  • 191
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Book for Markov Chain Monte Carlo methods

Can anyone recommend a good book for MCMC? I have worked with HMMs, Markov Chains in the past but nothing on simulation. So something in the intermediate level would be great. Also, if you know of any introductory books on stochastic simulation,…
Jacob
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What is a set with exactly two elements called?

A set containing exactly one element is called a singleton. Question: Is there a name for a set containing exactly two elements?
max_zorn
  • 4,875
6
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1 answer

Harvard math 55 materials

I would like to know what Harvard math 55 go through.So can anyone please point me to their course and their problem sets ?Your help is appreciated.
Amitabh Udayiman
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Freyd-Mitchell's embedding theorem

Freyd-Mitchell's embedding theorem states that: if A is a small abelian category, then there exists a ring R and a full, faithful and exact functor F: A → R-Mod. This is quite the theorem and has several useful applications (it allows one to do…
Bruno Stonek
  • 12,527
6
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1 answer

Does anyone know of a complete list of theorems?

It seems like this should exist somewhere but I can't seem to find it anywhere. I am looking for some book or encyclopedia with a list of common mathematical theorems or at least the ones that are common enough to have their own names. Can anyone…
russjohnson09
  • 393
5
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Where can I find the proof of this Ramanujan result?

I'm searching for a proof of one impressive Ramanujan result. Not one in particular, the only request I have is to be really impressive. For example $$ \sqrt{\phi+2}-\phi=\frac{e^{-2\pi/5}}{1+\frac{e^{-2\pi}}{1+\frac{e^{-4\pi}}{1+\cdots}}} $$ where…
Joe
  • 11,745
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What are power series used for? (a reference request)

Is there a genuinely respectable published expository account of what power series are used for, of which a substantial portion would be comprehensible to those first learning of power series in a first-year calculus course? (I think it's a flaw in…
Michael Hardy
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What branch of mathematics do these types of questions fall under and what would be a good book to get started with?

Questions such as: You are walking by a row of $K$ ($4 \le K \le 25$) lights, some of which are on and some of which are off. In this initial configuration, there is no consecutive sequence of four lights that are on. Whenever four or more…
Rikaard
  • 53
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1 answer

Original Lucas sequences primality test

When I found in Edouard Lucas' Wikipedia page that he proved that $2^{127}-1$ is prime by hand, I wanted to see how did he do it. Unfortunately, every piece of information I find is about the Lucas-Lehmer test, that is a version of his test refined…
chubakueno
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Complete list of Sierpiński's publications

Is there anywhere (preferably online and for free but on paper/offline/not free would also be acceptable) a complete list of Sierpiński's publications? Some of his papers are in the Polish Virtual Library but it is not a list and it does not tell me…
Rudy the Reindeer
  • 46,359
5
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4 answers

Recommendation for a book on dynamic systems

Could someone recommend an undergrad textbook on dynamical systems which covers the following topics: transfer functions and frequency response Analysis of block diagrams Bode plot, Nyquist plot, central locus theorem gain, phase margin? I took a…
user60610
5
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2 answers

This formula is on Wolfram Mathworld but I cannot find it anywhere else online?

$$\sum_{k=1}^{\infty}\ln\left[ \frac{(4k+1)^{1/(4k+1)^{n}}}{(4k-1)^{1/(4k-1)^{n}}} \right] = -\beta'(n)$$. Where $\beta$ is the Dirichlet Beta Function and $n$ is a positive integer. I cannot find this cited anywhere nor values of the beta…
Joshua Farrell
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5
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3 answers

A Reverse Citation Index

Given a published mathematics article, is there a way to find its tree of subsequent citations starting from the date of publication? Does such a (reverse bibliography) database exist? I'm at a student in a relatively well-known university with…
user02138
  • 17,064
5
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4 answers

Books on Inequalities and Geometry

I'm looking for suggestions of books on inequalities and geometry. I'm specifically asking this because I'm not looking for a book that is suited for students preparing for mathematics competition. I won't mind the books having a good bunch of…
Junaid Aftab
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