Introduction to the Calculus of Variations
1st Edition
Published on 1. June 1991
Book
Hardback
208 pages
978-0-412-36690-1 (ISBN)
Description
This text provides a clear, concise introduction to the calculus of variations. The introductory chapter provides a general sense of the subject through a discussion of several classical and contemporary examples of the subject's use.
More details
Language
English
Place of publication
London
United Kingdom
Publishing group
Taylor & Francis Ltd
Target group
College/higher education
Dimensions
Height: 229 mm
Width: 152 mm
Weight
390 gr
ISBN-13
978-0-412-36690-1 (9780412366901)
Copyright in bibliographic data is held by Nielsen Book Services Limited or its licensors: all rights reserved.
Schweitzer Classification
Person
Content
Introduction to the problem
The Euler differential equation
Sufficient conditions for variational problems with convex integrands
The necessary conditions of Weierstrass and Legendre
The necessary condition of Jacobi
The Hilbert independence integral and sufficiency conditions
Variational problems with variable boundaries
Variational problems depending on several functions
The parametric problem
Variational problems with multiple integrals
Variational problems with side conditions
Introduction to the direct mehtods of the calculus of variations
The Euler differential equation
Sufficient conditions for variational problems with convex integrands
The necessary conditions of Weierstrass and Legendre
The necessary condition of Jacobi
The Hilbert independence integral and sufficiency conditions
Variational problems with variable boundaries
Variational problems depending on several functions
The parametric problem
Variational problems with multiple integrals
Variational problems with side conditions
Introduction to the direct mehtods of the calculus of variations