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

Gilbert A. Bliss: Lectures on the Calculus of Variations

Published $\text {1946}$, University of Chicago Press

ISBN 9781114511354

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