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Variational Calculus and Optimal Control

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Cover of 'Variational Calculus and Optimal Control'

Table of Contents

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    Book Overview
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    Chapter 1 Review of Optimization in ℝd
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    Chapter 2 Standard Optimization Problems
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    Chapter 3 Linear Spaces and Gâteaux Variations
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    Chapter 4 Minimization of Convex Functions
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    Chapter 5 The Lemmas of Lagrange and du Bois-Reymond
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    Chapter 6 Local Extrema in Normed Linear Spaces
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    Chapter 7 The Euler-Lagrange Equations
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    Chapter 8 Piecewise C 1 Extremal Functions
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    Chapter 9 Variational Principles in Mechanics
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    Chapter 10 Sufficient Conditions for a Minimum
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    Chapter 11 Control Problems and Sufficiency Considerations
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    Chapter 12 Necessary Conditions for Optimality
Attention for Chapter 9: Variational Principles in Mechanics
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