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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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Computing the integrals of the form $\exp(P(x))$, $P(x)$ a polynomial

Wikipedia notes that Exponentials of other even polynomials can easily be solved using series. For example the solution to the integral of the exponential of a quartic polynomial is: \begin{align} & \int_{-\infty}^{\infty} e^{a x^4+b x^3+c x^2+d…
Potato
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Are Vector Spaces over non-commutative fields ever studied?

Are Vector Spaces over non-commutative fields ever studied? If not, why? If they are, I'd like to learn a bit about them, could you guys recommend me a good book on the subject? Cheers.
YoTengoUnLCD
  • 13,384
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What is a good book to learn how to manipulate inequalities with absolute values?

I've noticed that I'm really having trouble with limits because I've had very little experience manipulating inequalities and I really have little to no idea how to manipulate inequalities involving absolute values. I really didn't learn it in high…
Kenny
  • 727
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Basic book about mathematical proofs

I'm looking for an understandable book about mathematical proofs. As an engineer/computer scientist major I'm used to do higher math on a daily base, but whenever I'm asked in an exercise to "show" something I get the "where should I start? and…
Fabian
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What is the best study plan for the AMC 12/AIME/USAMO competitions?

I am a high school sophomore and I have decided to begin studying for high school math competitions like the AMC 12, AIME, and USAMO. For those who aren't familiar, the tests come in a sequence as ordered, with fewer people taking each round, until…
Eric Thoma
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I want to learn mathematics to extend myself.

I am a middle school student that is highly fascinated by mathematics and its elegance. However, I have found that to appreciate a lot of mathematics a lot of knowledge is required. Currently, I can do basic arithmetic, basic geometry (angle sums,…
anonymous
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Reference request on the occasion of Maria Agnesi's birthday

Today's Google doodle on google.co.uk, google.de, google.it, google.fr, google.ch, google.at and probably several others but not on google.com celebrates Maria Gaetana Agnesi, whose birthday is today. She is the eponym of the "witch of…
Michael Hardy
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Visual book of real analysis

Can anyone suggest a book that a lot of visualization into real analysis, like the book Proof Without Words by Nelsen.
QED
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Mathematically rigorous books on programming and computer science

I would like a mathematical approach to programming languages and computer science, not just the theoretical aspects of computer science. Is there any such text out there? After all, the world has a huge supply of mathematical texts.
user107952
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Reference for Dirac Delta function as gaussian

Let $\delta(x)$ be the Dirac Delta function https://en.wikipedia.org/wiki/Dirac_delta . It can be defined in the weak sense as the limit of a Gaussian $$\delta(x)=\lim\limits_{\epsilon\to…
anonymous
  • 538
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4 answers

A good introductory discrete mathematics book.

I am professor of mathematics and I am scheduled to teach a newly designated discrete math class for computer science majors. The prerequisite for the class is only Calc 1 and Id like a book that isnt too expensive, has a chapter on logic and…
user43666
  • 415
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5 answers

Good book on integral equation?

I'm looking for a good reference on integral equations (i.e., an equation in which an unknown function appears under an integral sign such as the Fredholm equation). I would like something accessible but covers approaches to showing existence. Any…
Stuck_pls_help
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"Great Theorems" references

I read a great book a few years ago that gave itself this description: For disciplines as diverse as literature, music and art, there is a tradition of examining masterpieces - the "great novels", the "great symphonies," the "great paintings" - as…
Xodarap
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Book similar to Berkeley Problems in Mathematics

The book Berkeley Problems in Mathematics was a wonderful source of interesting, some different and challenging problems for (under)graduate students. However, for a long time, I did not find see any changes in the printing of the book: it contains…
Maths Rahul
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Matrix theory textbook recommendation

After studying linear algebra I want to study some more concrete theories about matrix theory. I am looking for a textbook containing the following subjects: Detailed and theoretical treatment on SVD. Coprime factorization. Kronecker product Matrix…
user60610
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