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.
Research Themes 1(7) Luncheon Talk and Nomination for Stephen Smale 8(6) R. Bott Some Recollections of the Early Work of Steve Smale 14(3) M.M. Peixoto Luncheon Talk 17(3) R. Thom Banquet Address at the Smalefest 20(2) E.C. Zeeman Some Retrospective Remarks 22(7) Part I. Topology The Work of Stephen Smale in Differential Topology 29(24) M. Hirsch A Note on Open Maps 53(3) A Vietoris Mapping Theorem for Homotopy 56(7) Regular Curves on Riemannian Manifolds 63(21) On the Immersion of Manifolds in Euclidean Space 84(22) R. K. Lashof Self-Intersections of Immersed Manifolds 106(15) R. K. Lashof A Classification of Immersions of the Two-Sphere 121(10) The Classification of Immersions of Spheres in Euclidean Spaces 131(18) Diffeomorphisms of the 2-Sphere 149(6) On Involutions of the 3-Sphere 155(8) M. Hirsch The Generalized Poincare Conjecture in Higher Dimensions 163(3) On Gradient Dynamical Systems 166(8) Generalized Poincares Conjecture in Dimensions Greater Than Four 174(16) Differentiable and Combinatorial Structures on Manifolds 190(5) On the Structure of 5-Manifolds 195(9) On the Structure of Manifolds 204(13) A Survey of Some Recent Developments in Differential Topology 217(15) The Story of the Higher Dimensional Poincare Conjecture (What Actually happened on the beaches of Rio) 232(11) Part II. Economics Stephen Smale and the Economic Theory of General Equilibrium 243(16) G. Debreu Global Analysis and Economics, I: Pareto optimum and a generalization of Morse theory 259(12) Global Analysis and Economics, IIA: Extension of a theorem of Debreu 271(14) Global Analysis and Economics, III: Pareto optima and price equilibria 285(11) Global Analysis and Economics, IV: Finiteness and stability of equilibria with general consumption sets and production 296(9) Global Analysis and Economics, V: Pareto theory with constraints 305(9) Dynamics in general equilibrium theory 314(7) Global Analysis and Economics, VI: Geometric Analysis of Pareto Optima and price equilibria under classical hypotheses 321(14) A Convergent Process of Price Adjustment and Global Newton Methods 335(14) Exchange Processes with Price Adjustment 349(16) Some Dynamical Questions in Mathematical Economics 365(3) An Approach to the Analysis of Dynamic Processes in Economic Systems 368(5) On Comparative Statics and Bifurcation in Economic Equilibrium Theory 373(7) The Prisoners Dilemma and Dynamical Systems Associated to Non-Cooperative Games 380(18) Global Analysis and Economics 398(40) Gerard Debreu Wins the Nobel Prize 438(2) Global Analysis in Economic Theory 440(5) Part III. Miscellaneous Scientists and the Arms Race 445(9) On the Steps of Moscow University 454(7) Some Autobiographical Notes 461(19) Mathematical Problems for the Next Century 480
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