The informal approach of this introductory text stresses naturality and functoriality from the beginning. Based on the authors' original work, it provides a comprehensive overview of the field suitable for graduate students entering research. Its extensive bibliography, glossary, and index make this book a valuable reference.

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'... an original attempt to rigorously introduce the principles of the calculus of variations underlying some interesting problems coming from various contexts: mathematical physics, geometry and optimization in economics. The main emphasis is placed on selected topics and their potential applications, since most of them have not been treated before in existing monographs.' Mathematical Reviews

'The interesting method of presentation of the book, with extensive reference list and index, make me believe that the book will be appreciated by mathematicians, engineers, economists, physicists, and all scientists interested in variational methods and in their applications.' Zentralblatt MATH

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