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

Gilbert A. Bliss: Lectures on the Calculus of Variations

Published $1946$, University of Chicago Press

ISBN 9781114511354.

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