ISBN 9780412367007,Introduction to the Calculus of Variations

Introduction to the Calculus of Variations



Focal Press

Publication Year 2004

ISBN 9780412367007

ISBN-10 0412367009


Edition 2nd
Number of Pages 476 Pages
Language (English)

Medicine: general issues

This text provides a clear concise introduction to the calculus of variations. The introduction chapter provides a general sense of the subject through a discussion of several classical and contemporary examples of the subject's use. In the second chapter the all-important Euler differential is dereived and the Lemma of Du Bois-Reymond is established. Other basic terminology is introduced and the underlying theory, which will later be extended smoothly to more complex problems, is developed. Chapters 3 through 6 are devoted to the crucial topics of necessary and sufficient conditions. The remainder of the text extends the concepts of the first half of hte book to problems involving variable boundaries, to parametic representations to the problems constrained by side conditions.