Book:Gilbert A. Bliss/Lectures on the Calculus of Variations

Subject Matter

 * Calculus of Variations

Contents
Part I. Simpler Problems of the Calculus of Variations


 * I. The Calculus of Variations of Three-Space


 * II. Sufficient Conditions for a Minimum


 * III. Fields and the Hamilton-Jacobi Theory


 * IV. Problems in the Plane and in Higher Spaces


 * V. Problems in Parametric Form


 * VI. Problems with Variable End-Points

Part II. The Problem of Bolza


 * VII. The Multiplier Rule


 * VIII. Further Necessary Conditions for a Minimum


 * IX. Sufficient Conditions for a Minimum

Appendix

Appendix. Existence Theorems for Implicit Functions and Differential Equations


 * I. Existence Theorems for Implicit Functions


 * II. Existence Theorems for Differential Equations

Bibliography

A Bibliography for the Problem of Bolza

Index