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.).

123 questions
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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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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 ...
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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, ...
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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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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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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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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 ...
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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  ...
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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 \begin{equation} u(x) = \dfrac{1}{|B_r|}\int_{B_r}f dx = \dfrac{1}{|\partial B_r|}\int_{ \partial B_r}udS. \end{equation}...
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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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bialgebras and hopf algebras over a category

I am currently looking for a reference on how to define a bialgebra over a category or a Hopf algebra over a category, I have consulted in several texts of Hopf algebras but only define these ...
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Can somebody explain with one example the concepts: Lemma-Hypothesis-Theorem-Assumption-Proof-Axiom-Thesis-Determination-Definition-Proof [closed]

It would be great if someone can give me for each concept a simple explanatory example ! What is the difference between: Lemma Hypothesis (Hypothese) Theorem (Satz) Assumption (Annahme) Proof (...
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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 ...
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On the Princeton Lectures

I've heard nothing but good things about the Princeton Lectures in Analysis and was looking to start reading them. I just have a question for anyone who's read them before. Do they have to be read ...
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Encyclopedia of Mathematical Proofs with no English

I was wondering if anyone is aware of a modern book that builds a subset of elementary number theory from Peano axioms preferably in a Principia Mathematica fashion? Or similarly an encyclopedia of ...
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Recommendation topic - Numerical Analysis and computational

I'm having a course about 'Numerical Analysis and computational' in my master's. The course is about : Systems of Linear Equations: direct methods (LU factorization and Cholesky decomposition), ...
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Where are the Optimal Tours of TSPLIB 95 Instances?

I am looking for the optimal tours of the TSPLIB 95 instances as downloadable files. I have checked several places, but all lists I could find contain gaps, despite the fact, that all instances have ...
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Camille Jordan : Treatise on substitutions and algebraic equations ??

Is there english translation available of the monograph by Camille Jordan, titled: Traité des substitutions et des équations algébriques, which is available easily online in french. The reason for ...
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List of 2D definite integrals not reducible to products of 1D integrals

I'm writing numerical integration routines for 2D surface integrals. To test it, I'm looking for a list of definite integrals which have analytic forms. I need Integrals in polar coordinates over the ...