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| Preface to the Fourth Printing | |
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| Preface to the Second Edition | |
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| Preface to the First Edition | |
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| Calculus of Variations | |
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| Introduction | |
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| Example Solved | |
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| Simplest Problem-Euler Equation | |
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| Examples and Interpretations | |
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| Solving the Euler Equation in Special Cases | |
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| Second Order Conditions | |
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| Isoperimetric Problem | |
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| Free End Value | |
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| Free Horizon-Transversality Conditions | |
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| Equality Constrained Endpoint | |
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| Salvage Value | |
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| Inequality Constraint Endpoints and Sensitivity Analysis | |
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| Corners | |
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| Inequality Constraints in (t, x) | |
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| Infinite Horizon Autonomous Problems | |
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| Most Rapid Approach Paths | |
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| Diagrammatic Analysis | |
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| Several Functions and Double Integrals | |
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| Optimal Control | |
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| Introduction | |
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| Simplest Problem-Necessary Conditions | |
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| Sufficiency | |
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| Interpretations | |
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| Several Variables | |
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| Fixed Endpoint Problems | |
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| Various Endpoint Conditions | |
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| Discounting, Current Values, Comparative Dynamics | |
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| Equilibria in Infinite Horizon Autonomous Problems | |
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| Bounded Controls | |
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| Further Control Constraint | |
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| Discontinuous and Bang-Bang Control | |
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| Singular Solutions and Most Rapid Approach Paths | |
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| The Pontryagin Maximum Principle, Existence | |
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| Further Sufficiency Theorems | |
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| Alternative Formulations | |
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| State Variable Inequality Constraints | |
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| Jumps in the State Variable, Switches in State Equations | |
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| Delayed Response | |
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| Optimal Control with Integral State Equations | |
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| Dynamic Programming | |
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| Stochastic Optimal Control | |
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| Differential Games | |
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| Calculus and Nonlinear Programming | |
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| Calculus Techniques | |
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| Mean-Value Theorems | |
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| Concave and Convex Functions | |
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| Maxima and Minima | |
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| Equality Constrained Optimization | |
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| Inequality Constrained Optimization | |
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| Line Integrals and Green's Theorem | |
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| Differential Equations | |
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| Introduction | |
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| Linear First Order Differential Equations | |
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| Linear Second Order Differential Equations | |
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| Linear nth Order Differential Equations | |
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| A Pair of Linear Equations | |
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| Existence and Uniqueness of Solutions | |
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| References | |
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| Author Index | |
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| Subject Index | |