Mathematics Stack Exchange
Mathematics Stack Exchange

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
0
votes
1 answer

On the principle of mathematical induction

By the way of Proving Theorems I have strong doubts about my in-depth knowledge of the Principle of Induction now. I clearly remember reading a reference in France about their use from $n$ to $n-1$ (to down) instead from $n$ to $n + 1$ (to up) as…
Piquito
  • 29,594
0
votes
2 answers

Recommended books for post degree casual reading

I've recently finished my undergraduate degree in Maths and am looking for books to continue reading in my spare time to keep my interest in the subject. I'm not looking for any topics in particular - just good reads with thought provoking ideas!…
mathfinalshelp
  • 79
0
votes
1 answer

What's a somewhat fast introduction to (differential) geometry and algebraic topology for someone who knows a lot of analysis but little else?

I never got to learn much about geometry beyond curves and surfaces in Calculus III, and point set topology. So what is a fast introduction to differential geometry (specifically, differential manifolds) and algebraic topology? My goal is to learn…
user98246
0
votes
1 answer

Differentiability of Regulated Functions

In general, what can be said about differentiability of (real-valued) regulated functions, i.e. such for which the left and right limit exist at every point? Such functions are necessarily continuous except at countably many points, but "how many"…
Damian Reding
  • 8,773
0
votes
0 answers

What are "reciprocal radii/radiuses"?

in a novel I found the phrase "reciprocal radii". What exactly does this phrase mean? Can you explain it even for non-mathematicians, maybe in a more philosophical way (by connecting this phrase to a world view?) ? Kind regards! EDIT: Due to the…
Vazrael
  • 2,281
0
votes
1 answer

any two uncountable Borel subsets of a Polish space are Borel isomorphic

I'm trying to find a proof that any two uncountable Borel subsets of a Polish space are Borel isomorphic. I've been trying to find it in Kechris' "Classical Descriptive Set Theory" but I've been having difficulty finding it. If anyone knew a…
Rupert
  • 928
0
votes
1 answer

Reciprocity for Lagrange multipliers

Does anyone know of a textbook with explicit examples of Lagrange multiplier problems of the following type? Compare the results of : (a) optimizing $f(x,y)$ [max or min] subject to the constraint $g(x,y) = constant$. and (b) optimizing…
user2052
  • 2,427
0
votes
4 answers

Best trigonometry book for complete beginner

What are some best trigonometry books for complete beginner I can't decide between S.L loney and I.M Gelfand which would be better for understanding concepts from scratch
TheDumbguy
  • 5
0
votes
2 answers

Prerequisite knowledge required to efficiently understand 'The Art & Craft of Problem Solving'

I would like to improve as a Mathematician and I am currently doing A-Level Mathematics in England. I have come to learn that this book is a fantastic resource for anybody serious about a career in the subject. In the next two years I shall be…
user239564
  • 1
0
votes
0 answers

Reference for set theoretic topology

I would like to self study set-theoretic topology for research purpose. I have background in algebraic topology, complex analysis, real analysis, set theory. May I know what are the texts should I read so that I am prepared to do research on…
Idonknow
  • 15,643
0
votes
0 answers

An English translation of the paper "Expansion in Fourier series and integrals with Bessel functions" by Levitan

In my research, I've come across some results which can be found in the aforementioned paper by Levitan (see here). Several authors simply paraphrase the work in the paper, particularly the results about the Bessel translation operator; however I am…
Cameron Williams
  • 29,432
0
votes
1 answer

Where should I start for learning different laplace operations?

1) Laplace transformation in ODE. 2) Laplacian (del squared) of a PDE 3) Laplacian matrix in matrix-tree theorem for calculating spanning trees And couple of other places I have encountered these things . Are they correlated ? If so then Where…
Tamim Addari
  • 895
0
votes
1 answer

need reference text in functional analysis

Can you recommend me books in which i can learn functional analysis and understand material like weak convergence (with its topology) ? what are also the first books written on the subject. Is it Banach's book "operator theory" ?
user225458
  • 21
0
votes
0 answers

Reference for Gerstenhaber algebra structure in a particular case

I know it's true but I couldn't find a reference for the following statement: The exterior algebra of a Lie algebra is a Gerstenhaber algebra. Could you tell me a book/paper/something where I could read that?
post
  • 191
0
votes
1 answer

Reference Request for Calculus

I'm a first-year math student and have studied single-variable calculus for quite some time. However, with so many proofs and theorems, it's easy to get lost and forget how everything links together (I want to quickly see how I can link bank any…
Simeon
  • 937
1 2 3
…
28
29