Book:Mariano Giaquinta/Calculus of Variations I: The Lagrangian Formalism

Subject Matter

 * Calculus of Variations

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