| Preface to the Fourth Printing |
| Preface to the Second Edition |
| Preface to the First Edition |
| Calculus of Variations / Part I： |
| Introduction / Section 1： |
| Example Solved / Section 2： |
| Simplest Problem-Euler Equation / Section 3： |
| Examples and Interpretations / Section 4： |
| Solving the Euler Equation in Special Cases / Section 5： |
| Second Order Conditions / Section 6： |
| Isoperimetric Problem / Section 7： |
| Free End Value / Section 8： |
| Free Horizon-Transversality Conditions / Section 9： |
| Equality Constrained Endpoint / Section 10： |
| Salvage Value / Section 11： |
| Inequality Constraint Endpoints and Sensitivity Analysis / Section 12： |
| Corners / Section 13： |
| Inequality Constraints in (t, x) / Section 14： |
| Infinite Horizon Autonomous Problems / Section 15： |
| Most Rapid Approach Paths / Section 16： |
| Diagrammatic Analysis / Section 17： |
| Several Functions and Double Integrals / Section 18： |
| Optimal Control / Part II： |
| Simplest Problem-Necessary Conditions |
| Sufficiency |
| Interpretations |
| Several Variables |
| Fixed Endpoint Problems |
| Various Endpoint Conditions |
| Discounting, Current Values, Comparative Dynamics |
| Equilibria in Infinite Horizon Autonomous Problems |
| Bounded Controls |
| Further Control Constraint |
| Discontinuous and Bang-Bang Control |
| Singular Solutions and Most Rapid Approach Paths |
| The Pontryagin Maximum Principle, Existence |
| Further Sufficiency Theorems |
| Alternative Formulations |
| State Variable Inequality Constraints |
| Jumps in the State Variable, Switches in State Equations |
| Delayed Response / Section 19： |
| Optimal Control with Integral State Equations / Section 20： |
| Dynamic Programming / Section 21： |
| Stochastic Optimal Control / Section 22： |
| Differential Games / Section 23： |
| Calculus and Nonlinear Programming / Appendix A： |
| Calculus Techniques |
| Mean-Value Theorems |
| Concave and Convex Functions |
| Maxima and Minima |
| Equality Constrained Optimization |
| Inequality Constrained Optimization |
| Line Integrals and Green's Theorem |
| Differential Equations / Appendix B： |
| Linear First Order Differential Equations |
| Linear Second Order Differential Equations |
| Linear nth Order Differential Equations |
| A Pair of Linear Equations |
| Existence and Uniqueness of Solutions |
| References |
| Author Index |
| Subject Index |
| Preface to the Fourth Printing |
| Preface to the Second Edition |
| Preface to the First Edition |
図書
