# 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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### Is there any English translation of the Gergonne paper “Variétés. Essai de dialectique rationnelle” (“Varieties. Essay about rational dialectic”)?

Is there any English translation of this Gergonne paper? "Variétés. Essai de dialectique rationnelle", Annales de Mathématiques pures et appliquées, tome 7 (1816-1817), p. 189-228. ("...
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### Schwarz-Christoffel transformation French references

It might be a weird question but I am looking for a good reference written in French on Schwarz-Christoffel transformation https://en.m.wikipedia.org/wiki/Schwarz%E2%80%93Christoffel_mapping I would ...
24 views

### Looking for references: in PDEs

This is not a technical mathematical question. I came across some PDEs with no references nor their names. $$-\Delta u + \int_\Omega udx = f\qquad \hbox{in \Omega} \tag{Eq1}$$ The above equation can ...
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### English translation of Riemann's complete works

Browsing in the library I came across with the mathematical (and some philosophical) papers of Riemann, collected by Weber and Dedekind in the original German (although published by Dover). But ...
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### Where to find known bounds on expressions?

Example. In a problem I was working on, I had an expression of the form $(1-e^{-\alpha n})^{e^{\beta n }}$. I wanted to find an upper bound $f(\alpha, \beta, n)$ on this that makes it easier to see ...
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### Table of potential function for field

I know there is books that has table of common integrals, and I was wonder if there is a book that contain a table of common potential functions of fields.
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### “NONCOMMUTATIVE Algebra with a view towards Algebraic Geometry”?

Is there a noncommutative algebra book that is similar to Eisenbud's "Commutative Algebra with a view towards Algebraic Geometry" in the sense that fundamental and geometrically motivated ...
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### How To Learn Mathematics Basics [closed]

I wanna learn mathematics from zero to advanced which books should I read and which websites should I visit?
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### Lecture notes of complex analysis

I just want to go through the topics of complex analysis, in order to get an overview of the subject. Does there exists any good lecture notes for complex analysis which covers all the topics quickly? ...
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### Is there an equivalent of differential geometry for infinite dimensional spaces?

Differential and (Semi/Pseudo-)Riemannian geometry provide a framework for doing calculus on finite dimensional manifolds and have applications in physics (general relativity) and dynamical systems ...
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### Is there a bibliography of Lebesgue’s publications (with translations)?

I’m reading in the history of measure and integration and can’t find a complete list of Lebesgue’s publications, which I understand comprise his PhD thesis, some 50 papers, and two monographs. (...
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### Mathematical analysis book with a specific result of continuity.

Let $I^{n}\overset{_\mathrm{def}}{=}\left\{x=\left(x_{1}, \ldots, x_{n}\right) \in \mathbb{R}^{n}|\;\;a_i\leq x_{i} \leq b_{i}\,;\; i=1, \ldots, n\right\}$ be an $n$-dimensional closed interval and $I$...
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### Reference to an elementary result of mathematical analysis.

Can anyone suggest a mathematical analysis textbook that contains proof of this Proposition below? I have already sought proof of this result in classic textbooks of mathematical analysis such as ...
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### Request for list of fields of research (or fields already well-known) not in the MSC [closed]

So I was browsing the Mathematics Subject Classification and various other classification schemes related to it when I read from multiple sources that there are certain fields of study or research not ...
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### AMS Reference Style - No date

When including a reference in your bibliography, and the source has no date on it, how should this be indicated in the AMS reference style? Is it "n.d." or should the date simply be omitted?
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### Book recommendation : Olympiad Algebra Book

I was searching for a book for olympiad algebra, I coudn't find good books. Can someone please help me with this? It will be much appreciated!
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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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### Find this reference

I need this reference, but I couldn't find it online as a $\text{PDF}.$ Any help please? J. Sun, X, Zhang, The fixed point theorem of convex-power condensing operator and applications to abstract ...
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### Reference request for a resolution

Let $S:=k[t_0,t_1,\dots,t_n]$ and $f\in S$ be an irreducible, homogeneous polynomial of degree $d$. Denote by $R:=S/(f)$. Recall that the Kähler differential of $R$ is the $R$-module $\Omega^1_{R/k}$ ...
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### Database of FOL statements and proofs

Is there a database somewhere of simple FOL statements, with their proofs written out in a Hilbert-style deduction system, or perhaps a tool to take such statements and produce proofs? While I see ...
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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 ...
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### What is this symbol: $\mapsto$? [closed]

Back in the old days, I had a book that listed many things about math tables and symbols. What is the modern equivalent book? My question was unclear. I think it was because I used one question in ...
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### Reference for idempotent rings

In the wiki page of algebraic ring without multiplicative identity appears the definition of idempotent ring as a weakening of unital ring. Does any have a reference of where or why this concept ...
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### 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 ...
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### 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 ...
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### About a confidence interval Theorem

Does someone know where this theorem is from? From which statistic book? I've searched on two books already: Wackerly and Canavos statistic books. Theorem. Let $x_i$ and $y_i$ two independent ...
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### The leatest research regarding ergodic operators

I always ask myself the following question which states: Where might the leatest research regarding ergodic operators be found ? It is undoubtedly I am not asking for the books that illustrate the ...