Screen LibraryThe collected papers of Stephen Smale. Volume 1 /
This invaluable book contains the collected papers of Stephen Smale. These are divided into eight groups: topology; calculus of variations; dynamics; mechanics; economics; biology, electric circuits and mathematical programming; theory of computation; miscellaneous. In addition, each group contains...
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| Published: |
World Scientific Pub. Co.,
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| Publisher Address: | Singapore ; River Edge, N.J. : |
| Publication Dates: | 2000. |
| Literature type: | eBook |
| Language: | English |
| Subjects: | |
| Online Access: |
http://www.worldscientific.com/worldscibooks/10.1142/4424-vol1#t=toc |
| Summary: |
This invaluable book contains the collected papers of Stephen Smale. These are divided into eight groups: topology; calculus of variations; dynamics; mechanics; economics; biology, electric circuits and mathematical programming; theory of computation; miscellaneous. In addition, each group contains one or two articles by world leaders on its subject which comment on the influence of Smale's work, and another article by Smale with his own retrospective views. |
| Carrier Form: | 1 online resource (xxxiv,488pages) : illustrations (some color) |
| Bibliography: | Includes bibliographical references. |
| ISBN: | 9789812792815 |
| CLC: | O1-53 |
| Contents: | Research themes -- Luncheon talk and nomination for Stephen Smale / R. Bott -- Some recollections of the early work of Steve Smale / M. M. Peixoto -- Luncheon talk / R. Thorn -- Banquet address at the Smalefest / E. C. Zeeman -- Some retrospective remarks -- pt. I. Topology. The work of Stephen Smale in differential topology / M. Hirsch -- A note on open maps -- A Vietoris mapping theorem for homotopy -- Regular curves on Riemannian manifolds -- On the immersion of manifolds in Euclidean space / R. K. Lashof -- Self-intersections of immersed manifolds / R. K. Lashof -- A classification of immersions of the two-sphere -- The classification of immersions of spheres in Euclidean spaces -- Diffeomorphisms of the 2-sphere -- On involutions of the 3-sphere / M. Hirsch -- The generalized Poincare conjecture in higher dimensions -- On gradient dynamical systems -- Generalized Poincare's conjecture in dimensions greater than four - Differentiable and combinatorial structures on manifolds -- On the structure of 5-manifolds -- On the structure of manifolds -- A survey of some recent developments in differential topology -- The story of the higher dimensional Poincare conjecture (What actually happened on the beaches of Rio) -- pt. II. Economics. Stephen Smale and the economic theory of general equilibrium / G. Debreu -- Global analysis and economics, I: Pareto optimum and a generalization of Morse theory -- Global analysis and economics, IIA: Extension of a theorem of Debreu -- Global analysis and economics, III: Pareto optima and price equilibria -- Global analysis and economics, IV: Finiteness and stability of equilibria with general consumption sets and production -- Global analysis and economics, V: Pareto theory with constraints -- Dynamics in general equilibrium theory -- Global analysis and economics, VI: Geometric analysis of pareto optima and price equilibria under classical hypotheses -- A convergent process of price adjustment -- Exchange processes with price adjustment -- Some dynamical questions in mathematical economics -- An approach to the analysis of dynamic processes in economic systems -- On comparative statics and bifurcation in economic equilibrium theory -- The prisoner's dilemma and dynamical systems associated to non-cooperative games -- Global analysis and economics -- Gerard Debreu wins the Nobel Prize -- Global analysis in economic theory -- pt. III. Miscellaneous. Scientists and the arms race -- On the steps of Moscow University -- Some autobiographical notes -- Mathematical problems for the next century. |