Selected Translations in Mathematical Statistics and Probability

Science & Math

Anosov, D.V.

Mathematics

Amer Mathematical Society

Twenty Lectures Delivered at the International Congress of Mathematicians in Vancouver, 1974 (American Mathematical Society Translations - Series , Vol 109)

International Congress of Mathematicians Vancouver, B. C. 1974

The Riemann-Hilbert Problem: A Publication from the Steklov Institute of Mathematics Adviser: Armen Sergeev (Aspects of Mathematics)

The Riemann-Hilbert problem (Hilbert's 21st problem) belongs to the theory of linear systems of ordinary differential equations in the complex domain. The problem concerns the existence of a Fuchsian system with prescribed singularities and monodromy. Hilbert was convinced that such a system always exists. However, this turned out to be a rare case of a wrong forecast made by him. In 1989 the second author (A. B.) discovered a counterexample, thus obtaining a negative solution to Hilbert's 21st problem in its original form.

Bolibruch, A. A.

Vieweg+Teubner Verlag

The Riemann-Hilbert problem (Hilbert's 21st problem) belongs to the theory of linear systems of ordinary differential equations in the complex domain. The problem concerns the existence of a Fuchsian system with prescribed singularities and monodromy. Hilbert was convinced that such a system always exists. However, this turned out to be a rare case of a wrong forecast made by him. In 1989 the second author (A. B.) discovered a counterexample, thus obtaining a negative solution to Hilbert's 21st problem in its original form.

From the reviews: "The reading is very easy and pleasant for the non-mathematician, which is really noteworthy. The two chapters enunciate the basic principles of the field, ... indicate connections with other fields of mathematics and sketch the motivation behind the various concepts which are introduced.... What is particularly pleasant is the fact that the authors are quite successful in giving to the reader the feeling behind the demonstrations which are sketched. Another point to notice is the existence of an annotated extended bibliography and a very complete index. This really enhances the value of this book and puts it at the level of a particularly interesting reference tool. I thus strongly recommend to buy this very interesting and stimulating book." Journal de Physique

Dynamical Systems I: Ordinary Differential Equations and Smooth Dynamical Systems (Encyclopaedia of Mathematical Sciences, 1)

Reference

Aranson, S.Kh.

Arnold, V.I.

Bronshtein, I.U.

Grines, V.Z.

Ilyashenko, Yu.S.

Foreign Language Study & Reference

Springer

Dynamical Systems I: Ordinary Differential Equations and Smooth Dynamical Systems (Problem Books in Mathematics)

Differential Equations solve it, then draw / Differentsialnye uravneniya to reshaem, to risuem

MTsNMO

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