From Topology to Computation: Proceedings of the Smalefest
Edited by Morris W. Hirsch,
Jerrold E. Marsden and
Michael Shub
in Springer Books from Springer
Date: 1993
ISBN: 978-1-4612-2740-3
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Chapters in this book:
- Ch 1 Some Autobiographical Notes
- Steve Smale
- Ch 2 On How I Got Started In Dynamical Systems, 1959–1962
- Steve Smale
- Ch 3 The Story of the Higher Dimensional Poincaré Conjecture (What Actually Happened on the Beaches of Rio)
- Steve Smale
- Ch 4 On the Steps of Moscow University
- Steve Smale
- Ch 5 Professional Biography, Bibliography, and Graduate Students
- Steve Smale
- Ch 6 Luncheon Talk and Nomination for Stephen Smale
- R. Bott
- Ch 7 Some Recollections of the Early Work of Steve Smale
- M. M. Peixoto
- Ch 8 Luncheon Talk
- R. Thom
- Ch 9 Banquet Address at the Smalefest
- E. C. Zeeman
- Ch 10 The Work of Stephen Smale in Differential Topology
- Morris W. Hirsch
- Ch 11 Discussion
- J. Stallings and A. Haefliger
- Ch 12 Note on the History of Immersion Theory
- David Spring
- Ch 13 The Smale—Hirsch Principle in Catastrophe Theory
- V. A. Vassil’ev
- Ch 14 Stephen Smale and the Economic Theory of General Equilibrium
- Gerard Debreu
- Ch 15 Topology and Economics: The Contribution of Stephen Smale
- Graciela Chichilnisky
- Ch 16 Comments
- Y.-H. Wan
- Ch 17 On the Contribution of Smale to Dynamical Systems
- J. Palis
- Ch 18 Discussion
- S. Newhouse and R. F. Williams
- Ch 19 Recurrent Sets for Planar Homeomorphisms
- Marcy Barge and John Franks
- Ch 20 Convergence of Finite-Element Solutions for Nonlinear PDEs
- Xiaohua Xuan
- Ch 21 Ergodic Theory of Chaotic Dynamical Systems
- L.-S. Young
- Ch 22 Beyond Hyperbolicity: Expansion Properties of One-Dimensional Mappings
- John Guckenheimer and Stewart Johnson
- Ch 23 Induced Hyperbolicity, Invariant Measures, and Rigidity
- M. Jakobson
- Ch 24 On the Enumerative Geometry of Geodesics
- Ivan A. K. Kupka and M. M. Peixoto
- Ch 25 A Relation Between Newton’s Method and Successive Approximations for Quadratic Irrationals
- Julian Palmore
- Ch 26 On Dynamical Systems and the Minimal Surface Equation
- Per Tomter
- Ch 27 A New Zeta Function, Natural for Links
- R. F. Williams
- Ch 28 On the Work of Steve Smale on the Theory of Computation
- Michael Shub
- Ch 29 Smale’s Work on the Dynamics of Numerical Analysis
- Steve Batterson
- Ch 30 Steve Smale and the Geometry of Ill-Conditioning
- James Demmel
- Ch 31 On Smale’s Work in the Theory of Computation: From Polynomial Zeros to Continuous Complexity
- J. F. Traub
- Ch 32 The Gödel Incompleteness Theorem and Decidability over a Ring
- Lenore Blum and Steve Smale
- Ch 33 Ill-Posed Problem Instances
- James Renegar
- Ch 34 Cohomology of Braid Groups and Complexity
- V. A. Vassil’ev
- Ch 35 The Dynamics of Eigenvalue Computation
- Steve Batterson
- Ch 36 On the Role of Computable Error Estimates in the Analysis of Numerical Approximation Algorithms
- Feng Gao
- Ch 37 Applications of Topology to Lower Bound Estimates in Computer Science
- Michael D. Hirsch
- Ch 38 On the Distribution of Roots of Random Polynomials
- E. Kostlan
- Ch 39 A General NP-Completeness Theorem
- Nimrod Megiddo
- Ch 40 Some Remarks on Bezout’s Theorem and Complexity Theory
- Michael Shub
- Ch 41 Some Results Relevant to Smale’s Reports
- Xinghua Wang
- Ch 42 Error Estimates of Ritz—Gelerkin Methods for Indefinite Elliptic Equations
- Xlaohua Xuan
- Ch 43 Smale and Nonlinear Analysis: A Personal Perspective
- Anthony J. Tromba
- Ch 44 Discussion
- R. Abraham and F. Browder
- Ch 45 Steve Smale and Geometric Mechanics
- Jerrold E. Marsden
- Ch 46 Smale’s Topological Program in Mechanics and Convexity
- Tudor S. Ratiu
- Ch 47 Discussion
- A. Weinstein
- Ch 48 On Paradigm and Method
- Philip Holmes
- Ch 49 Dynamical Systems and the Geometry of Singularly Perturbed Differential Equations
- N. Kopell
- Ch 50 Cellular Dynamata
- R. Abraham
- Ch 51 Rough Classification of Integrable Hamiltonians on Four-Dimensional Symplectic Manifolds
- A. T. Fomenko
- Ch 52 Final Panel
- R. F. Williams, D. Karp, D. Brown, O. Lanford, P. Holmes, R. Thom, E. C. Zeeman and M. M. Peixoto
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DOI: 10.1007/978-1-4612-2740-3
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