Arnold, V. I.

Mathematical Events of the Twentieth Century

Mathematical Events of the Twentieth Century


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ISBN: 9783540294627
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Table of contents

1. Dynamical Systems in the 1960s: The Hyperbolic Revolution
D. V. Anosov

2. From Hilbert’s Superposition Problem to Dynamical Systems
V. I. Arnold

3. Inverse Monodromy Problems of the Analytic Theory of Differential Equations
A. A. Bolibruch

4. What Modern Mathematical Physics Is Supposed to Be
L. D. Faddeev

5. Discovery of the Maximum Principle
R. V. Gamkrelidze

6. The Qualitative Theory of Differential Equations in the Plane
Yu. S. Il’yashenko

7. Computerization... Let’s Be Careful
P. S. Krasnoshchekov

8. The Generalized Shift, Transformation Operators, and Inverse Problems
V. A. Marchenko

9. Mathematics and the Trajectories of Typhoons
V. P. Maslov

10. Hilbert’s Tenth Problem: Diophantine Equations in the Twentieth Century
Yu. V. Matiyasevich

11. Observations on the Movement of People and Ideas in Twentieth-Century Mathematics
V. D. Milman

12. About Aleksandrov, Pontryagin and Their Scientific Schools
E. F. Mishchenko

13. Hilbert’s Seventh Problem
Yu. V. Nesterenko

14. The Great Kolmogorov
S. M. Nikol’skii

15. Numbers as Functions: The Development of an Idea in the Moscow School of Algebraic Geometry
A. N. Parshin

16. The P mathop = limits^? NP-Problem: A View from the 1990s
A. A. Razborov

17. Homoclinic Trajectories: From Poincaré to the Present
L. P. Shil’nikov

18. From “Disorder” to Nonlinear Filtering and Martingale Theory
A. N. Shiryaev

19. How Mathematicians and Physicists Found Each Other in the Theory of Dynamical Systems and in Statistical Mechanics
Ya. G. Sinai

20. Approximation Theory in the Twentieth Century
V. M. Tikhomirov

21. The Life and Fate of Functional Analysis in the Twentieth Century
A. M. Vershik

22. Half a Century As One Day
A. G. Vitushkin

23. Nikolai Nikolaevich Bogolyubov — Mathematician by the Grace of God
V. S. Vladimirov

24. Global Solvability Versus Collapse in the Dynamics of an Incompressible Fluid
V. I. Yudovich


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Keywords: MATHEMATICS / General MAT000000

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