Collected Papers Of Stephen Smale, The (In 3 Volumes) [Hardback]

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(11) Part IV. Calculus of Variations (Global Analysis) and PDEs Smale and Nonlinear Analysis: A Personal perspective 491(12) A. J. Tromba A Generalized Morse Theory 503(8) R. Palais Morse Theory and a Non-Linear Generalization of the Dirichlet Problem 511(15) On the Calculus of Variations 526(3) An Infinite Dimensional Version of Sards Theorem 529(6) On the Morse Index Theorem 535(7) A correction to ``On the Morse Index Theorem 542(2) What is Global Analysis? 544(6) Book Review on ``Global Variational Analysis: Weierstrass Integrals on a Riemannian Manifold 550(11) Marston Morse Smooth Solutions of the Heat and Wave Equations 561(14) Part V. Dynamics On the Contribution of Samle to Dynamical Systems 575(14) J. Palis Discussions 589(7) S. Newhouse R. F. Williams Morse Inequalities for a Dynamical System 596(7) On Dynamical Systems 603(4) Dynamical Systems and the Topological Conjugacy Problem for Diffeomorphisms 607(7) Stable Manifolds for Differential Equations and Diffeomorphisms 614(20) A Structurally Stable Differentiable Homeomorphism with and Infinite Number of Periodic Points 634(2) Diffeomorphisms with Many Periodic Points 636(18) Structurally Stable Systems Are Not Dense 654(6) Dynamical Systems on n-Dimensional Manifolds 660(4) Differentiable Dynamical Systems 664(71) Nongenericity of Ω-Stability 735(4) R. Abraham Structural Stability Theorems 739(9) J. Palis Notes on Differential Dynamical Systems 748(11) The Ω-Stability Theorem 759(9) Stability and Genericity in Dynamical Systems 768(8) Beyond Hyperbolicity 776(5) M. Shub Stability and Isotopy in Discrete Dynamical Systems 781(4) Differential Equations 785(6) Dynamical Systems and Turbulence 791(23) Review of ``Catastrophe Theory: Selected Papers, 1972-1977 814(9) E. C. Zeeman On the Problem of Reviving the Ergodic Hypothesis of Boltzmann and Birkhoff 823(8) On How I Got Started in Dynamical Systems 831(5) Dynamics Retrospective: Great Problems, attempts that failed 836(7) What is Chaos? 843(16) Finding a Horseshoe on the Beaches of Rio 859(6) The Work of Curtis T. McMullen 865(6) Part VI. Mechanics Steve Smale and Geometric Mechanics 871(18) J. E. Marsden Topology and Mechanics, I. 889(27) Topology and Mechanics, II 916(20) Problems on the Nature of Relative Equilibria in Celestial Mechanics 936(5) Personal Perspectives on Mathematics and Mechanics 941(10) Part VII. Biology, Electric Circuits, Mathematical Programming On the Mathematical Foundations of Electrical Circuit Theory 951(18) A Mathematical Model of Two Cells via Turings Equation 969(10) Optimizing Several Functions 979(7) Sufficient Conditions for an Optimum 986(7) The Qualitative Analysis of a Difference Equation of Population Growth 993(4) R. F. Williams On the Differential Equations of Species in Competition 997(3) The Problem of the Average Speed of the Simplex Method 1000(10) On the Average Number of Steps of the Simplex Method of Linear Programming 1010(25) Part VIII. Theory of Computation On the Work of Steve Smale on the Theory of Computation 1035(21) M. Shub The Work of Steve Smale on the Theory of Computation: 1990-1999 1056(20) L. Blum F. Cucker On Algorithms for Solving f(x)=0 1076(32) M. Hirsch The fundamental Theorem of Algebra and Complexity Theory 1108(36) Computational Complexity: On the geometry of polynomials and a theory of cost, Part I 1144(36) M. Shub On the Efficiency of Algorithms of Analysis 1180(35) Computational Complexity: On the Geometry of polynomials and a theory of cost, Part II 1215(17) M. Shub On the Existence of Generally Convergent Algorithms 1232(10) M. Shub Newtons Method Estimates form Data at One Point 1242(12) On the Topology of Algorithms, I. 1254(9) Algorithms for Solving Equations 1263(24) The Newtonian Contribution to Our Understanding of the Computer 1287(6) On a Theory of Computation and Complexity over the Real Numbers: NP-completeness, recursive functions and universal machines 1293(46) L. Blum M. Shub Some Remarks on the Foundations of Numerical Analysis 1339(10) Theory of Computation 1349(10) Complexity of Bezouts Theorem I: Geometric aspects 1359(43) M. Shub Complexity of Bezouts Theorem II: Volumes and probabilities 1402(19) M. Shub Complexity of Bezouts Theorem III: Condition number and packing 1421(11) M. Shub Complexity of Bezouts Theorem IV: Probability of success: Extensions 1432(21) M. Shub Complexity of Bezouts Theorem V: Polynomial time 1453(24) M. Shub The Godel Incompleteness Theorem and Decidability over a Ring 1477(19) L. Blum Separation of Complexity Classes in Koirans Weak Model 1496(12) F. Cucker 2M. Shub On the Intractability of Hilberts Nullstellenstaz and an Algerbraic Version of ``NP≠P? 1508(8) M. Shub Complexity and Real Computation: A Manifesto 1516(24) L. Blum F. Cucker M. Shub Algebraic Settings for the Problem ``P≠NP? 1540(20) L. Blum F. Cucker M. Shub Complexity Theory and Numerical Analysis 1560(29) Some Lower Bounds for the Complexity of Continuation Methods 1589(12) J.-P. Dedieu A Polynomial Time algorithm for Diophantine Equations in One Variable 1601(9) F. Cucker P. Koiran Complexity Estimates Depending on Condition and Round-off Error 1610 F. Cucker