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.).

Filter by
Sorted by
Tagged with
26
votes
11answers
7k views

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 ...
37
votes
4answers
2k views

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 ...
6
votes
8answers
3k views

Dictionaries and resources for translation of mathematical terminology

Nowadays English seems to be the most frequently used language in mathematics. (Although plenty of papers and books are published in other languages, e.g., Russian, French, German and Chinese.) ...
2
votes
2answers
185 views

Probability spaces over graphs: which area has focus on them?

Suppose a simple graph $G$. Now consider probability space $G(v;p)$ where $0\leq p\leq 1$ and $v$ vertices. I want to calculate globally-determined properties of $G(v;p)$ such as connectivity and ...
1
vote
1answer
108 views

Are Oriented Graphs Related to Oriented Matroids?

My professor said that oriented matroids make it easier to investigate things such as connectivity. Recall that an oriented graph is a digraph without multiple edges or loops. Now Are oriented graphs ...
15
votes
3answers
19k views

What is the meaning of the expression Q.E.D.? Is it similar to ■ appearing at the end of a theorem?

I am curious about the meaning of the word Q.E.D. that is often written after a proof of a theorem (some math books use this convention). Edit: Is it similar to the box being placed after a proof of ...
12
votes
6answers
2k views

Advice on self study of category theory

I'm very intrested in start to study category theory with aim to use this in algebraic geometry. I already took courses (besides the basics) on commutative algebra and general topology with a soft ...
9
votes
2answers
1k views

Need good reference or a proof on regularity of solution to Neumann problem

Let $\Omega\subset \mathbb{R}^d $ be a bounded open subset ($d\in \mathbb{N}$) and denote $\partial\Omega$ its boundary which we assume to be Lipschitz. The classical inhomogeneous Neumann problem ...
8
votes
3answers
578 views

Encyclopedic dictionary of Mathematics

I'm looking for a complete dictionary about Mathematics, after searching a lot I found only this one http://www.amazon.com/Encyclopedic-Dictionary-Mathematics-Second-VOLUMES/dp/0262090260/ref=sr_1_1?...
4
votes
2answers
341 views

What is the most complete book of integrals and series?

I'm looking for something like "If it's not in this book, it's not known". I've got a copy of Gradshteyn and Ryzhik, which seems pretty good. But I'm hoping there are some better ones out there.
2
votes
1answer
290 views

Book on the Lambert W function.

The Lambert W function is the inverse of function $x\mapsto xe^x$. It is traditionally denoted by $W(x)$. The function $W(x)$ is bivalued in interval $(-\frac{1}{e},0)$. See Wikpedia and Wolfram for ...
1
vote
0answers
68 views

References on Inverse Problems, Approximation theory and Algebraic geometry

For example, you approximate structure functions of finite simple graphs in cases where only cut sets of the systems are known. The inverse problem means to build possible scenarios in underdetermined ...
0
votes
1answer
35 views

On terms “Orientation” & “Oriented” in different mathematical areas?

The goal of this question is to help to deal with different meanings of the words such as "orientation" and "oriented" in different mathematical areas. Are different oriented ...
0
votes
1answer
102 views

Key reference book on toric ideals: normal or not? Which definition to follow?

I want to understand sum of binomials better in terms of ideals such as binomial ideals, normal ideals and so by toric ideals. Examples about toric ideals contain $$\sum x^\alpha+\sum x^\beta\in\...
5
votes
2answers
805 views

Matrices over noncommutative rings

I am wondering whether matrices over noncommutative rings have gone undergone a systematic study, particularly noncommutative group rings? I would appreciate sources, if any are available. Thanks!
3
votes
3answers
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, ...
3
votes
0answers
86 views

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 ...
2
votes
3answers
114 views

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 ...
1
vote
0answers
80 views

Hermite interpolation and basis functions.

I am using piecewise quintic Hermite interpolation at the joint level for a robot (1000 Hz) from a more time-sparse, but smooth trajectory (100 Hz). I have tested this according to the elegant ...
-1
votes
1answer
164 views

Is there a bijection between an infinite set $E$ and $\big\{f:E\to\mathbb{Z}\,\big|\,|\text{supp}f|<\infty\big\}$?

Let $E$ be an infinite set and let $G$ the set of maps from $E$ to $\mathbb{Z}$ that have finite support. Is there a case where we can prove that there is a bijection between $G$ and $E$? I need a ...