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The Mathematical Heritage of Henri Poincaré

Edited by: Felix E. Browder
Available Formats:
Electronic ISBN: 978-0-8218-9329-6
Product Code: PSPUM/39.1.E
List Price: $74.00 MAA Member Price:$66.60
AMS Member Price: $59.20 Click above image for expanded view The Mathematical Heritage of Henri Poincaré Edited by: Felix E. Browder Available Formats:  Electronic ISBN: 978-0-8218-9329-6 Product Code: PSPUM/39.1.E  List Price:$74.00 MAA Member Price: $66.60 AMS Member Price:$59.20
• Book Details

Proceedings of Symposia in Pure Mathematics
Volume: 391983; 435 pp
MSC: 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 geometry, topology, Riemann surfaces, discontinuous groups and Lie groups, and several complex variables.

This item is also available as part of a set:

• Geometry
• Shing-Shen Chern - Web geometry
• Jun-Ichi Igusa - Problems on Abelian functions at the time of Poincaré and some at present
• John Milnor - Hyperbolic geometry: The first 150 years
• Ngaiming Mok and Shing-Tung Yau - Completeness of the Kähler-Einstein metric on bounded domains and the characterization of domains of holomorphy by curvature conditions [ MR 720056 ]
• Alan Weinstein - Symplectic geometry
• Topology
• J. Frank Adams - Graem Segal’s Burnside ring conjecture
• William P. Thurston - Three dimensional manifolds, Kleinian groups and hyperbolic geometry
• Riemann surfaces, discontinuous groups and Lie groups
• Lipman Bers - Finite dimenstional Teichmüller spaces and generalizations
• Wilfried Schmid - Poincaré and Lie groups
• Dennis Sullivan - Discrete conformal groups and measurable dynamics
• Several complex variables
• Michael Beals, Charles Fefferman and Robert Grossman - Strictly pseudoconvex domains in $\mathbf {C}^n$
• Phillip A. Griffiths - Poincaré and algebraic geometry
• Roger Penrose - Physical space-time and nonrealizable CR-structures
• R. O. Wells, Jr. - The Cauchy-Riemann equations and differential geometry
• Request Review Copy
• Get Permissions
Volume: 391983; 435 pp
MSC: 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 geometry, topology, Riemann surfaces, discontinuous groups and Lie groups, and several complex variables.

This item is also available as part of a set:
• Geometry
• Shing-Shen Chern - Web geometry
• Jun-Ichi Igusa - Problems on Abelian functions at the time of Poincaré and some at present
• John Milnor - Hyperbolic geometry: The first 150 years
• Ngaiming Mok and Shing-Tung Yau - Completeness of the Kähler-Einstein metric on bounded domains and the characterization of domains of holomorphy by curvature conditions [ MR 720056 ]
• Alan Weinstein - Symplectic geometry
• Topology
• J. Frank Adams - Graem Segal’s Burnside ring conjecture
• William P. Thurston - Three dimensional manifolds, Kleinian groups and hyperbolic geometry
• Riemann surfaces, discontinuous groups and Lie groups
• Lipman Bers - Finite dimenstional Teichmüller spaces and generalizations
• Wilfried Schmid - Poincaré and Lie groups
• Dennis Sullivan - Discrete conformal groups and measurable dynamics
• Several complex variables
• Michael Beals, Charles Fefferman and Robert Grossman - Strictly pseudoconvex domains in $\mathbf {C}^n$
• Phillip A. Griffiths - Poincaré and algebraic geometry
• Roger Penrose - Physical space-time and nonrealizable CR-structures
• R. O. Wells, Jr. - The Cauchy-Riemann equations and differential geometry
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