An Introduction to the Calculus of Variations

Pars, L. A.

ISBN 10: 0486474208 / ISBN 13: 9780486474205

Published by Dover, Mineola, 2009

About this Item

350 pages. unabridged republication of the 1962 Heinemann Educationsl Books edition. ; 5 3/8 x 8 1/2 ".

Seller Inventory # 68464

Bibliographic Details

• Title: An Introduction to the Calculus of Variations
• Publisher: Dover, Mineola
• Publication Date: 2009
• Language: English
• ISBN 10: 0486474208
• ISBN 13: 9780486474205
• Binding: Paperback
• Condition: As New
• Seller catalogs:
  • Science, Physical Sciences, & Math

About this title

Synopsis

This clear, rigorous introduction to the calculus of variations covers applications to geometry, dynamics, and physics. Focusing upon problems with one independent variable, the text connects the abstract theory to its use in concrete problems. It offers a working knowledge of relevant techniques, plus an impetus for further study.
Starting with an overview of fundamental problems and theories, the text advances to illustrative examples and examinations of variable end-points and the fundamental sufficiency theorem. Subsequent chapters explore the isoperimetrical problem, curves in space, the problem of Lagrange, and the parametric problem. The final chapter is devoted to multiple integrals, with a particular focus on Dirichlet's principle. Suitable for advanced undergraduate and graduate students, this text requires a background in mathematical analysis.