Mathematical Events of the Twentieth Century

• Corporate Author: SpringerLink (Online service)
• Other Authors: Bolibruch, † A. A. (Editor), Osipov, Yu. S. (Editor), Sinai, Ya. G. (Editor), Arnold, V. I. (Editor), Bolibruch, A. A. (Editor), Vershik, A. M. (Editor), Manin, Yu. I. (Editor), Sinai, Ya.G (Editor), Tikhomirov, V.M (Editor), Faddeev, L.D (Editor), Philippov, V. B. (Editor)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2006.
• Subjects: Mathematics.; History.; Physics.; History of Mathematical Sciences.; Mathematics, general.; Physics, general.

Russian mathematics (later Soviet mathematics, and Russian mathematics once again) occupies a special place in twentieth-century mathematics. In addition to its well-known achievements, Russian mathematics established a unique style of research based on the existence of prominent mathematical school...

Table of Contents:

• Dynamical Systems in the 1960s: The Hyperbolic Revolution
• From Hilbert’s Superposition Problem to Dynamical Systems
• Inverse Monodromy Problems of the Analytic Theory of Differential Equations
• What Modern Mathematical Physics Is Supposed to Be
• Discovery of the Maximum Principle
• The Qualitative Theory of Differential Equations in the Plane
• Computerization… Let’s Be Careful
• The Generalized Shift, Transformation Operators, and Inverse Problems
• Mathematics and the Trajectories of Typhoons
• Hilbert’s Tenth Problem: Diophantine Equations in the Twentieth Century
• Observations on the Movement of People and Ideas in Twentieth-Century Mathematics
• About Aleksandrov, Pontryagin and Their Scientific Schools
• Hilbert’s Seventh Problem
• The Great Kolmogorov
• Numbers as Functions: The Development of an Idea in the Moscow School of Algebraic Geometry
• The P NP-Problem: A View from the 1990s
• Homoclinic Trajectories: From Poincaré to the Present
• From “Disorder” to Nonlinear Filtering and Martingale Theory
• How Mathematicians and Physicists Found Each Other in the Theory of Dynamical Systems and in Statistical Mechanics
• Approximation Theory in the Twentieth Century
• The Life and Fate of Functional Analysis in the Twentieth Century
• Half a Century As One Day
• Nikolai Nikolaevich Bogolyubov — Mathematician by the Grace of God
• Global Solvability Versus Collapse in the Dynamics of an Incompressible Fluid.