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Book DetailsProceedings of Symposia in Pure MathematicsVolume: 39; 1983; 470 ppMSC: Primary 00; Secondary 01
On April 7-10, 1980, the American Mathematical Society sponsored a Symposium on the Mathematical Heritage of Henri Poincari, held at Indiana University, Bloomington, Indiana. This volume presents the written versions of all but three of the invited talks presented at this Symposium (those by W. Browder, A. Jaffe, and J. Mather were not written up for publication). In addition, it contains two papers by invited speakers who were not able to attend, S. S. Chern and L. Nirenberg.
If one traces the influence of Poincari through the major mathematical figures of the early and midtwentieth century, it is through American mathematicians as well as French that this influence flows, through G. D. Birkhoff, Solomon Lefschetz, and Marston Morse. This continuing tradition represents one of the major strands of American as well as world mathematics, and it is as a testimony to this tradition as an opening to the future creativity of mathematics that this volume is dedicated.
This part contains sections on topological methods in nonlinear problems, mechanics and dynamical systems, ergodic theory and recurrence, and historical material.
This item is also available as part of a set: -
Table of Contents
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Topological methods in nonlinear problems
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Raoul Bott — Lectures on Morse theory, old and new
-
Haïm Brezis — Periodic solutions of nonlinear vibrating strings and duality principles
-
Felix E. Browder — Fixed point theory and nonlinear problems
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L. Nirenberg — Variational and topological methods in nonlinear problems
-
Mechanics and dynamical systems
-
Jean Leray — The meaning of Maslov’s asymptotic method: The need of Planck’s constant in mathematics
-
David Ruelle — Differentiable dynamical systems and the problem of turbulence
-
Steve Smale — The fundamental theorem of algebra and complexity theory
-
Ergodic theory and recurrence
-
Harry Furstenberg — Poincaré recurrence and number theory
-
H. Furstenberg, Y. Katznelson and D. Ornstein — The ergodic theoretical proof of Szemerédi’s theorem
-
Historical material
-
P. S. Aleksandrov — Poincaré and topology
-
Henri Poincaré — Résumé analytique
-
Jacques Hadamard — L’oeuvre mathématique de Poincaré
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-
RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
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On April 7-10, 1980, the American Mathematical Society sponsored a Symposium on the Mathematical Heritage of Henri Poincari, held at Indiana University, Bloomington, Indiana. This volume presents the written versions of all but three of the invited talks presented at this Symposium (those by W. Browder, A. Jaffe, and J. Mather were not written up for publication). In addition, it contains two papers by invited speakers who were not able to attend, S. S. Chern and L. Nirenberg.
If one traces the influence of Poincari through the major mathematical figures of the early and midtwentieth century, it is through American mathematicians as well as French that this influence flows, through G. D. Birkhoff, Solomon Lefschetz, and Marston Morse. This continuing tradition represents one of the major strands of American as well as world mathematics, and it is as a testimony to this tradition as an opening to the future creativity of mathematics that this volume is dedicated.
This part contains sections on topological methods in nonlinear problems, mechanics and dynamical systems, ergodic theory and recurrence, and historical material.
-
Topological methods in nonlinear problems
-
Raoul Bott — Lectures on Morse theory, old and new
-
Haïm Brezis — Periodic solutions of nonlinear vibrating strings and duality principles
-
Felix E. Browder — Fixed point theory and nonlinear problems
-
L. Nirenberg — Variational and topological methods in nonlinear problems
-
Mechanics and dynamical systems
-
Jean Leray — The meaning of Maslov’s asymptotic method: The need of Planck’s constant in mathematics
-
David Ruelle — Differentiable dynamical systems and the problem of turbulence
-
Steve Smale — The fundamental theorem of algebra and complexity theory
-
Ergodic theory and recurrence
-
Harry Furstenberg — Poincaré recurrence and number theory
-
H. Furstenberg, Y. Katznelson and D. Ornstein — The ergodic theoretical proof of Szemerédi’s theorem
-
Historical material
-
P. S. Aleksandrov — Poincaré and topology
-
Henri Poincaré — Résumé analytique
-
Jacques Hadamard — L’oeuvre mathématique de Poincaré
