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Exterior Differential Systems and the Calculus of Variations

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Cover of 'Exterior Differential Systems and the Calculus of Variations'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction
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    Chapter 2 Preliminaries
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    Chapter 3 Euler-Lagrange Equations for Differential Systems with One Independent Variable
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    Chapter 4 First Integrals of the Euler-Lagrange System; Noether’s Theorem and Examples
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    Chapter 5 Euler Equations for Variational Problems in Homogeneous Spaces
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    Chapter 6 Endpoint Conditions; Jacobi Equations and the 2nd Variation; the Hamilton-Jacobi Equation
Attention for Chapter 4: First Integrals of the Euler-Lagrange System; Noether’s Theorem and Examples
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