# Questions tagged [reference-works]

Reference works include encyclopedias, dictionaries, books of tables (which may include numerical tables, tables of integrals, series, and products, tables of Fourier transforms, tables of finite groups, tables of combinatorial designs, etc.).

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### How to get intuition in topology concerning the definitions?

Most topology texts go on directly to give definition of topology, then they give some examples and that's it, like they directly tell you right Let $X$ be a set and let $τ$ be a family of subsets ...
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### Reference for general-topology

Though there are several posts discussing the reference books for topology, for example best book for topology. But as far as I looked up to, all of them are for the purpose of learning topology or ...
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### Entering math through the side door [duplicate]

I am not really good at math, I'd say I'm a lot worse than good when it comes to math but I am a programmer so I have to learn to get over that fact. A lot of times if I want to implement some code I ...
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### Encyclopedia of mathematics (?)

I'm currently studying an engineering degree and I got fascinated about math. The issue here is that I want a single source to learn mathematics; I mean, I want to learn every single math topic pretty ...
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### More comprehensive General Topology's book than Engelking

Other than Engelking General Topology, I also come across other graduate general topology text such as Dugundji and Kelley, which I also find them interesting. However, I find Engelking's book more ...
101 views

### Non-number theoretic formulation of Fermat's last theorem?

We have dozens of non-number theoretic formulations of Riemann hypothesis. I was wondering if there are any non-number theoretic formulations of Fermat's last theorem? I am in particular curious about ...
155 views

### Encyclopedia of Mathematics? (non-alphabetical)

Do you know any encyclopedia of mathematics which is in non-alphabetical order, like it starts from basic mathematics and then goes up to very advanced level? And what's the difference between say, ...
280 views

### Sequence of polygons converging

Let $P$ be a polygon ($P$ doesn't have to be regular, convex... it's just $n$ distinct points of $\mathbb{R}^2$). We construct the sequence $(P^{(n)})_n$ with $P^{(0)}=P$ and $P^{(n+1)}$ is the ...
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### Text for study of subgroup lattices of finite abelian groups.

I want to study the subgroup lattice of a finite abelian group. I have found a text on the subject: Subgroup Lattices of Groups by Roland Schmidt, de Gruyter 1994. This book is about subgroups of any ...
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### Where to get 'The American Mathematical Monthly' reprints

Is it possible to obtain printed books containing important articles from The American Mathematical Monthly since it started?
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### Catalog of Categories

Could someone please indicate a website, book or PDF that contains a catalog of categories? I am looking for a place that contains descriptions and properties of the best known categories. I am ...
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### About the research papers which led to beginning of Sieve Theory

I am an undergraduate and during these uncertain times due to covid -19 i have got a lot of spare time. I have a good background in Analytic number theory, Abstract Algebra, Real/Complex /Functional ...
516 views

### Equivalence between Brouwer fixed-point theorem and Borsuk-Ulam theorem. Is there a simple proof of equivalence between them?

I wonder if Brouwer's fixed-point theorem and Borsuk-Ulam's theorem are equivalent. Brouwer's fixed-point theorem (simple form). Let $B_{\mathbb{R}^{n}}[0,1]=\{x\in \mathbb{R}^n: \|x-0\|\leq 1\}$ ...
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### Looking for a specific reference, which is used in the book “Lectures on Advanced Computational Methods in Mechanics”

I need this book "Lectures on Advanced Computational Methods in Mechanics", unfortunately I did not find it in the library of the university .If someone has it, I just want to know the reference [61] ...
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### Summing the first $n$-terms of the series whose general term is $nx^{n-1}$

I suppose several of you know some fancy ways to establish the formula for the sum of the first $n$ terms of the geometric series $$1+x+x^{2}+x^{3}+ \ldots$$ Can you share below some of your fave ...
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### Is there a version of mean value property for $p$-harmonic funcions?

We know by mean value property that harmonic functions satisfies the equalities $$u(x) = \dfrac{1}{|B_r|}\int_{B_r}f dx = \dfrac{1}{|\partial B_r|}\int_{ \partial B_r}udS.$$...
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### Concrete examples of elliptic pseudo-differential equations

Remember that $p \in S^{m}_{1,0}(\mathbb{R}^n \times \mathbb{R}^n)$ or that $p: \mathbb{R}^n \times \mathbb{R}^n \longrightarrow \mathbb{C}$ is a simbol if it is a smooth function such that \begin{...
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### Book on structure of the unit group of group rings

I am looking for a book named "The structure of the unit group of group rings" by Dennis, R.K. , Lecture Notes in Pure and Applied Math. vol 26, Marcel Dekker, New York, 1977. This book is referred ...
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### Books about synthetic projective geometry

Are there books in English about synthetic projective geometry? More specifically, results of Karl von Staudt (imaginary elements theory through elliptical involutions, imaginary circle, infinity's ...
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### Possible error on Wiki-page for Dual_matroid

On the Wiki-page https://en.wikipedia.org/wiki/Dual_matroid you find the following part: It reads "..the graphic matroids of planar graphs are self-dual". This claim cannot be right. Do you agree? Or ...