# 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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### Reference for Zassenhaus bound of roots of polynomial

I remember author of some textbook alluding to Zassenhaus and Knuth's bound of the zeros of a complex polynomial.Unfortunately after even after days of search I could not find some reference or ...
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### Reference on the cumulant generating function (basic properties)

The cumulant generating function $K(t)$ of a random variable is defined as $$K(t) = \log \mathbb{E} [e^{Xt}]$$ for any $t$ such that the exponential moment is finite. In Wikipedia, it is said that: ...
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### Double cone with countably many cones instead of two

Is there a notion of a singularity of a real "algebraic variety" which looks locally like a double cone but with a countable infinite number of cones which meet in the same point? A short ...
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### Why did he write $f_\min=3/2$?

I don't have much reputation to comment everywhere as as I'm new here. Could some explain me what and why this line is being written in this anser to "Find minimum value of $f(b)$ where $f(b)$ ...
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### Proof that there's only one function that satisifes the properties of a trace. [duplicate]

I've been reading Mathematics for Machine Learning, by Deisenroth, Aldo Faisal and Cheng Soon Ong, and it contains the following lines about the trace of square matrices that I need help with: The ...
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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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### 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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### "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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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 $I$...