Description 
1 online resource (viii, 545 pages) : illustrations 
Contents 
Dynamical systems in the 1960s: the hyperbolic revolution / D.V. Anosov  From Hilbert's superposition problem to dynamical systems / V.I. Arnold  Inverse monodromy problems of the analytic theory of differential equations / A.A. Bolibruch  What modern mathematics is supposed to be / L.D. Faddeev  Discovery of the maximum principle / R.V. Gamkrelidze  The qualitative theory of differential equations in the plane / Yu. S. Il'yashenko  Computerizationlet's be careful / P.S. Krasnoshchekov  The generalized shift, transformation operators, and inverse problems / V.A. Marchenko  Mathematics and the trajectories of typhoons / V.P. Maslov  Hilbert's tenth problem: diophantine equations in the twentieth century / Yu. V. Matiyasevich  Observations on the movement of people and ideas in twentiethcentury mathematics / V.D. Milman  About Aleksandrov, Pontryagin and their scientific schools / E.F. Mishchenko  Hilbert's seventh problem / Yu. V. Nesterenko  The great Kolmogorov / S.M. Nikol'skii  Numbers as functions: the developent of an idea in the Moscow school of algebraic geometry / A.N. Parshin  The P= NPproblem: a view from the 1990s / A.A. Razborov  Homoclinic trajectories: from Poincaré to the present / L.P. Shil'nikov  From "disorder" to nonlinear filtering and Martingale theory / A.N. Shiryaev  How mathematicians and physicists found each other in the theory of dynamical system and in statistical mechanics / Ya. G. Sinai  Approximation theory in the twentieth century / V.M. Tikhomirov  The life and fate of functional analysis in the twentieth century / A.M. Vershik  Half a century as one day / A.G. Vitushkin  Nikolai Nikolaevich Bogolyubov: mathematician by the grace of God / V.S. Vladimirov  Global solvability versus collapse in the dynamics of an incompressible fluid / V.I. Yudovich 
Summary 
Russian mathematics (later Soviet mathematics, and Russian mathematics once again) occupies a special place in twentiethcentury mathematics. In addition to its wellknown achievements, Russian mathematics established a unique style of research based on the existence of prominent mathematical schools. These schools were headed by recognized leaders, who became famous due to their talents and outstanding contributions to science. The present collection is intended primarily to gather in one book the t timonies of the participants in the development of mathematics over the past century. In their articles the authors have expressed their own points of view on the events that took place. The editors have not felt that they had a right to make any changes, other than stylistic ones, or to add any of their own commentary to the text. Naturally, the points of view of the authors should not be construed as those of the editors. The list of mathematicians invited to participate in the present edition was quite long. Unfortunately, some of the authors for various reasons did not accept our invitation, and regretfully a number of areas of research are not fully represented here. Nevertheless, the material that has been assembled is of great value not only in the scientific sense, but also in its historical context. We wish to express our gratitude to all the authors who contributed 
Bibliography 
Includes bibliographical references and index 
Notes 
Print version record 
Subject 
Mathematics  History  20th century.

Genre/Form 
History.

Form 
Electronic book

Author 
Bolibrukh, A. A.


Osipov, I͡U. S. (I͡Uriĭ Sergeevich), 1936


Sinaĭ, I͡A. G. (I͡Akov Grigorʹevich), 1935

ISBN 
3540232354 

3540294627 (electronic bk.) 

6610360669 

9783540232353 

9783540294627 (electronic bk.) 

9786610360666 
