Cover image for Mathematical events of the twentieth century
Title:
Mathematical events of the twentieth century
Publication Information:
Berlin : Springer, 2006
ISBN:
9783540232353

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30000010123833 QA26 M37 2006 Open Access Book Book
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Summary

Summary

This book contains several contributions on the most outstanding events in the development of twentieth century mathematics, representing a wide variety of specialities in which Russian and Soviet mathematicians played a considerable role. The articles are written in an informal style, from mathematical philosophy to the description of the development of ideas, personal memories and give a unique account of personal meetings with famous representatives of twentieth century mathematics who exerted great influence in its development.

This book will be of great interest to mathematicians, who will enjoy seeing their own specialities described with some historical perspective. Historians will read it with the same motive, and perhaps also to select topics for future investigation.


Table of Contents

Dynamical Systems in the 1960sD.V.Anosov
The Hyperbolic RevolutionV.I.Arnold
From Hilbert's Superposition Problem to Dynamical SystemsA.A.Bolibruch
Inverse Monodromy Problems of the Analytic Theory of Differential EquationsL.D.Faddeev
What Modern Mathematical Physics is Supposed to beR.V.Gamkrelidze
Discovery of the Maximum PrincipleYu.S.Il'yashenko
The Qualitative Theory of Diferential Equations in the PlaneP.S.Krasnoshchekov
Computerization... Let's be CarefulV.A.Marchenko
The Generalized Shift, Transformation Operators, and Inverse ProblemsV.P.Maslov
Mathematics and the Trajectories of TyphoonsYu.V.Matiyasevich
Hilbert's Tenth Problem
Diophantine Equations in the Twentieth CenturyV.D.Milman
Observations on the Movement of People and Ideas in Twentieth-Century MathematicsE.F.Mishchenko
About Aleksandrov, Pontryagin and Their Scientific SchoolsYu.V.Nesterenko
Hilbert's Seventh ProblemS.M.Nikol'skii
The Great KolmogorovA.N.Parshin
Numbers as Functions
The Development of an Idea in the Moscow School of Algebraic GeometryA.A.Razborov
The P=NP-Problem
A View from the 1990sL.P.Shil'nikov
Homoclinic Trajectories
From Poincar to the PresentA.N.Shiryaev
From "Disorder" to Nonlinear Filtering and Martingale TheoryYa.G.Sinai
How Mathematicians and Physicists Found Each Other in the Theory of Dynamical Systems and in Statistical MechanicsV.M.Tikhomirov
Approximation Theory in the Twentieth CenturyA.M.Vershik
The Life and Fate of Functional Analysis in the Twentieth CenturyA.G.Vitushkin
Half a Century as one dayV.S.Vladimirov
Nikolai Nikolaevich Bogolyubov - Mathematician by the Grace of GodV.I.Yudovich
Global Solvability Versus Collapse in the Dynamics of an Incompressible FluidName Index