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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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name of curve of cluster of points of the form $(x,x^2...x^n)$ in $R^n$

what is the name of the curve made up of the points $(x,x^2...x^n)$ in $\mathbb {R}^n$ for all $x\in \mathbb R$?? For example: in $\mathbb R^2$ it would just be a parabola.
Asinomás
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Reading materials for banach stone theorem

I am interested In the banach stone theorem. Currently I am still in my undergraduate,. Recently I have read up the 3 fundamental theorems in functional analysis, Hahn banach theorem, principle of uniform boundedness and open mapping theorem. May I…
Idonknow
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Square and square roots modulo a prime and non-prime

I am facing difficulty in grasping square and square roots modulo a prime and a non-prime. I am using An Introduction to Mathematical Cryptography but the content is not very clear. Can someone please refer a text that explains the concept clearly.
TheNoob
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Equivalence definition of amenability (reference)

I'm looking for a reference (article or book) of the following equivalence of amenability. Let $G$ be a countable group. There exists a left invariant mean $m : \ell^{\infty}(G) \to \mathbb{R}$ For every finite set $S \subseteq G$ and every…
3m0o
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Reference request: Normal subgroup, free and transitive actions, stabilizers and complements

Let $K$ be a normal subgroup of $G$ and let $G$ act on a set $X$. Suppose the action of $K$ on $X$ is free and transitive. Then the stabilizer of any element in $X$ forms a complement of $K$. I was wondering if anyone knows of a reference for this…
pi-master
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Reference request for a paper by chen

Could someone please help me in downloading the paper 'On the distribution of almost primes in an interval' by Jingrun Chen (journal: scientia sinica)? I was not able to find it on internet? Any hel would be appreciated. Thanks in advance
math is fun
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Titles by Bertini and Weber alluded to in Gian-Carlo Rota’s foreword to Stanley’s Enumerative Combinatorics

In the foreword to Stanley’s Enumerative Combinatorics is this paragraph: Every once in a long while, a textbook worthy of the name comes along; invariably, it is likely to prove aere perennius: Weber, Bertini, van der Warden, Feller, Dunford and…
Darryl Johnson
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Series index on $\mathbb Z^n$..

does anyone know if there is a book that deal with series of the kind, $$\displaystyle \sum_{\xi\in\mathbb Z^n}a_\xi,$$ that is, when the indices are in the space $\mathbb Z^n$. I'm looking for the theory of convergence of these series.. Thanks
PtF
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Solutions for C*-algebras by example by Davidson

I am looking for a solutions book for the C* algebras by example book to crosscheck my results. Is someone aware of a book like this? Cheers
craaaft
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Functions of the form $e^\frac{\ln(p(x))}{p(x)}$

Is there any literature surrounding functions of the form $f(x)=e^\frac{\ln(p(x))}{p(x)}=p(x)^{\frac{1}{p(x)}}$, where $p(x)$ is a polynomial? By graphical methods, it seems as though $f(x)$ has a tendency to become tangent to $p(x)$. It'd be nice…
Scene
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what to use as reference for proofs and laws

I am new to Math. I come from a CS background, where its easy to find reference material for anything, eg the C++ reference specification if one wants to know peculiarities of C++. Whats the equivalent for Math? For example, where does one go to…
user1078
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Reference request: Modular subset-sum

Classic subset-sum: Given an integer $T$ and a set of integers $S = \{x_1, x_2, \cdots, x_k\}$ is there a subset of $S$ that such that the sum of the elements of the subset is exactly $T$? This problem is known to be NP-hard. Is the following…
vvg
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Can you please provide references to learn about Fourier expansions for vector- valued functions?

I am reading a paper by Peter Lax about the stability and convergence of finite difference schemes, and I need to understand a bit better the theory behind Fourier expansions for vector-valued functions. Thanks for your time!
DouL
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Michael Spivak's Calculus or Tom Apostol's Calculus (2 volume series)?

I want to get a better understanding of the inner mechanics and heart of calculus. Which book is better for this, Michael Spivak's Calculus book or Tom Apostol's Calculus(2 volume) series? What are the pros and cons of Spivak and Apostol's…
thuang
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Planes and polytopes in n dimensional space

Imagine there are K vectors in n-dimensional space. I would like to: validate whether they can correspond to K+1 planes enclosing a volume (is that called a polytope?) validate whether a given further vector is completely inside this polytope, or…
J. Doe
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