Book:Mariano Giaquinta/Calculus of Variations I: The Lagrangian Formalism
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Mariano Giaquinta and Stefan Hildebrandt: Calculus of Variations I: The Lagrangian Formalism
Published $\text {2004}$, Springer - Verlag
- ISBN 978-3540506256
Subject Matter
Contents
Part I. The First Variation and Necessary Conditions
- Chapter 1. The First Variation
- Chapter 2. Variational Problems with Subsidiary Conditions
- Chapter 3. General Variational Formulas
Part II. The Second Variation and Sufficient Conditions
- Chapter 4. Second Variation, Excess Function, Convexity
- Chapter 5. Weak Minimizers and Jacobi Theory
- Chapter 6. Weierstrass Field Theory for One-Dimensional Integrals and Strong Minimizers
Supplement. Some Facts from Differential Geometry and Analysis
A List of Examples
Bibliography
Subject Index