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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Reference for first introduction to knot theory

I've done a bit of reading using Colin Adams' The Knot Book, and have also read a good amount of Justin Roberts' Knot Knotes, what resources have you found to be the most useful for learning knot theory for the first time?
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Studying linear algebra with "Linear algebra done right" without any linear algebra background?

I started reading " Linear algebra done right" and I'm really enjoying the book. The thing is that most people say it's intended for a second linear algebra course. Is it a bad idea to learn from the book? Should I read a first course book (Would…
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Legendre polynomials, spherical harmonics - from the ground up?

I would like to explore these topics in depth, but I am at a loss as to where to start looking. I see a lot of people using them without even trying to understand them or rederive them. I'm not afraid of "complex mathematics", "advanced…
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Is there any modern course like Bourbaki's books? (Including Category Theory)

I would like to have something like Bourbaki's or Landau's collection of books. However, Bourbaki failed the aim to build all from the mathematics foundation since they did not use (are not using) the Category Theory, and in fact, the Set Theory…
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Text about a rigorous formalization of natural deduction

Is there a text that tries to formalize natural deduction and proofs in natural deduction, as purely mathematical objects? I know that in a Hilbert-style proof system, a proof is a certain kind of mathematical object, namely, a sequence of…
user107952
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Recommended reading about philosophy of mathematics?

So I've been interested in philosophies of different sorts in the past, but nowadays I've reduced philosophy only to topics in philosophy of science, because the other branches are so inconclusive and often useless in practice. But if I was to read…
mavavilj
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A quote from an integration textbook: Anyone know the source?

Long ago I saw a quote in a textbook on the Lebesgue integral. Here is the quote the author used: There are nine and sixty ways of constructing tribal lays, And--every--single--one--of--them--is--right. Rudyard Kipling, In the Neolithic Age…
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Pronunciation of Mathematicians' name

Is there any online resource for the audio pronunciations of the names of mathematicians ? Thanks.
Rajkumar
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Reference request: curvature of a manifold and representation theory

I am looking for references on the relationship between the curvature of a manifold and the representation theory of some group related to the manifold. I've once heard that the curvature tensor, Ricci, etc, appear in some way as irreducible…
Francisco
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Where can I find the proofs of the following identities of Ramanujan

These are two famous identities of Ramanujan. Where can I find the proofs of them: $ \displaystyle \frac{1}{\pi} = \frac{2\sqrt{2}}{9801} \sum\limits_{k=0}^{\infty} \frac{(4k!)(1103 + 26390k)}{(k!)^{2} (396)^{4k}}$ $\displaystyle…
anonymous
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Is there a sudent solution manual for applied analysis by john K. Hunter and Bruno Nachtergaele?

Is there a sudent solution manual for applied analysis by john K. Hunter and Bruno Nachtergaele? especially for chapter 11 Distributions and the Fourier Transform? if not is there another book about the same chapter with solution manual?
math.
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Cohomology of sheaves : reference-request

I need a good reference book where I can learn the cohomology of sheaves through the approach of Čech cohomology. The Hartshorne's book, for example, doesn't help me a lot because he choose the "derived functors approach".
Dubious
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Does anybody know of a site that has a set of all theorems?

I mean, if there exists a site that his function is to show and save theorems with their proofs?
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The depth of mathematics and the nomenclature

One thing that has captured my interest lately is the depth of mathematics. I see questions and answers discussed on Math.SE with so much different notations, terms which seem quite alien to me. Yet, I understand many things and have successfully…
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Need ''The diameter of the prime graph of a finite group'' by Lucido

I need a paper by Lucido, I am studying prime graphs to make a presentation in Group theory class, which is here on degruyter. Now, my college doesn't have access to degruyter (although is has to many other famous journals), and paper is too costly…
Departed
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