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This tag is used if a reference is needed in a paper or textbook on a specific result.

2 votes

Introductory textbook on geometry of hyperbolic space

You might try the following: Jürgen Richter-Gebert: Perspectives on Projective Geometry, David Mumford, Caroline Series, David Wright: Indra´s Pearls.
6 votes

Reference request: Dynamical systems

There is also the classic Palis, de Melo: Geometric Theory of Dynamical Systems.
Martin Peters's user avatar
3 votes

History of ODE and PDE reference request

You might consider reading Hairer, Wanner: Analysis by Its History, which includes differential equations in its treatment, and Bertil Gustafsson Scientific Computing which focuses on the history of c …
Martin Peters's user avatar
4 votes

Looking for Arnol'd quote about Russian students vs western mathematicians

Maybe you are referring to his book with problems for schoolchildren? See problem 13 there, and also a remark in the preface.
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3 votes
0 answers
254 views

Braids with an infinite number of strings

Has anyone developed a theory for braids with an infinite number of strings?
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2 votes
Accepted

Reference: Finsler Derivative?

Chapter 2 in Bao, Chern, Shen: An Introduction to Riemann-Finsler Geometry may give you the answer.
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4 votes

Essays and thoughts on mathematics

I recommend: Vladimir Arnold: Yesterday and Long Ago. This is a very enjoyable and highly interesting collection of anecdotes and historical remarks. The latest Russian edition of this book contains …
4 votes

Learning roadmap for harmonic analysis

For the link to applications you might try Palle Jorgensen´s: Analysis and Probability. Wavelets, Signals, Fractals. As a special feature, this book contains a dictionary of the use of technical terms …
2 votes

Companion to theoretical physics for working mathematicians

Try Eberhard Zeidler's multi-volume Quantum Field Theory. This is extremely comprehensive.
5 votes
1 answer
431 views

Book about the history of mathematics for weather prediction

Can someone recommend a book about the history of mathematics being used for weather prediction, preferable one which covers recent developments?
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1 vote
Accepted

books on very large scale linear optimization

Have a look at Marti, Reinelt: The Linear Ordering Problem. This books gives an up-to-date overview.
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2 votes
Accepted

Aronszajn measure

A look at mathnet.ru yields one paper by Bogachev on this topic. The article by Csörnyei in Israel Journal of Mathematics, December 1999, Volume 111, Issue 1, pp 191-201 and the references therein gi …
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7 votes

Autobiographies of mathematicians

An outstanding autobiography in my opinion is Egon Balas: Will to Freedom.
9 votes
2 answers
2k views

Who first defined quantum integers?

Who first gave the definition of quantum integers $$ [m]_q = \frac{1 - q^m}{1 - q} $$ and addition as $$ [m]_q \oplus_q [n]_q = [m]_q + q^m [n]_q $$ and multiplication as $$ [m]_q \otimes_q [n]_q = …
Martin Peters's user avatar
1 vote

History of the Sampling Theorem

Some background on Kotelnikov's contribution is given in A G Vitushkin: Half a Century As One Day in the book Bolibruch, Osipov, Sinai (Editors): Mathematical Events of the Twentieth Century and also …
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