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Calculus of Variations II - Giaquinta, Mariano, and Hildebrandt, Stefan
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This book by two of the foremost researchers and writers in the field is the first part of a treatise that covers the subject in breadth and depth, paying special attention to the historical origins of the theory. Both individually and collectively these volumes have already become standard references.

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Calculus of Variations II 2010, Springer-Verlag Berlin and Heidelberg GmbH & Co. K, Berlin

ISBN-13: 9783642081927

Paperback

Calculus of Variations II 2004, Springer, Berlin, Heidelberg

ISBN-13: 9783540579618

1996 edition

Hardcover