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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.

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What are some math books that cover sets, relations...?

What are some math books that cover the following topics, Sets & Relations Matrix Permutations and Combinations Basic Counting principles Probability Theory
user753214
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Complete or Large List of Mathematical Objects?

I am working on a language translation project and would like to come up with translations for as many mathematical objects as I can easily do. Searching "list of mathematical objects" doesn't yield much, such as this extremely short list on…
Lance
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Polls about mathematics

I am looking for a poll in which mathematicians were begged asked requested to explain what they think that mathematics essentially is and is about. Answers should be rather short, but not necessarily as short as e.g. "the study of abstract…
Hans-Peter Stricker
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What mathematical education should I have in order to study the books released under the pseudonym N. Bourbaki?

I am an economics undergrad who wants to develop a firm grasp over mathematics, so will I be able to understand Bourbaki's books on my own without needing additional books? What about the books titled analysis released by Roger Godement?
Slothrop
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Citation needed for convergence of binomial series

I am using some results on the convergence of the (generalized) binomial series. Any idea on where to find it? More specifically, we need the proof of the point II, i.e. the convergence on the border of the domain. Thanks.
asdf
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Reference Request: Eager for more after Chapter on Modules in Lang's Algebra

After about six months of study (over the course of about 16 months total) I’m coming to the end of Ch. 3 (on modules) in Lang’s Algebra (third edition) and I don’t know if it’s the high I’m feeling now that I actually feel pretty comfortable with…
Aaron
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Math Tricks Reference

Any suggestions of books with cool, possibly nonrigorous math tricks? For example, Joel Spencer "Asymptopia" has some really cool results in integral estimation using asymptotic ideas (e.g. estimating Stirling's Formula). Another example would be…
rico
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Good books on relation theory

Does anyone know any good books on relation theory? By "relation", I mean a subset of a cartesian power of a set $S$. I would really love to read some good books on the theory of relations.
user107952
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Help finding an exercise (example?) referred to in SGA 4

There is an appendix written by Bourbaki at the end of SGA 4, Exposé I. In section 2 of this appendix–titled "Univers et espèces de structures"–paragraph 3, you will find the following: Considérons alors la catégorie (-$\mathcal{E}$) définie au §…
user829019
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Looking for the title of a book...

I remember there was a book for kids, which taught algebra through a story. The story was like this: There was some land, in which some people lived whose main job was to count. They didn't know algebra they only knew arithmetic. Some day a magician…
Koohyar
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Reference for analytic dependency on inititial values for ODE with analytic coefficients

I would like to see a book where it is proven that any solution to a given $2$nd order ODE with analytic coefficients depends analytically on the initial values. For example in "differential equations with applications and historical notes" by…
Targon
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Good book on Galois connections?

What are some good introductory books on Galois connections? I have read Galois Theory from Emil Artin, Algebra from Saunder Mac Lane, and I'm starting Serge Lang.
Mark
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Reference request for relearning old material

I am looking to go back and revise material that I have already learnt before. I'm, in particular, looking for suggestions for textbooks on the following subjects: Algebra: I self-studied abstract algebra last year out of Dummit and Foote's…
user82261
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Reference request: Control systems and state space from an only differential equation point of view?

I'm new to this "forum", I'm studying control engineering... While studying this area, one of our lecturers told us that a lot of information is lost when one treats control only from a transfer function point of view. So what I want to know is, if…
E.pow93
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The solutions to some Diophantine equations

I have proved these two theorems (are they correct?) but I think most probably they have occurred somewhere else already. Would you please help me find references. Thank you.
user584333
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