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.
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
