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Calculus of Variations

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Book Details

  • Publisher: Dover

  • Author: Israel M. Gelfand

  • Language: English

  • Edition: 1st Edition

  • ISBN: 9780486414485

  • Pages: 240

  • Cover: Paperback

  • Dimensions: 8.5 x 5.5 x 0.7 inches

About The Book

Israel M. Gelfand’s Calculus of Variations provides a comprehensive introduction to the theory and application of variation methods, making it an ideal resource for advanced undergraduate and graduate students in mathematics and physics. This 240-page paperback edition offers a fresh and lively approach to the subject, beginning with the theory of fields and the conditions for weak and strong extrema in the first six chapters.

Chapter 7 explores the application of variation methods to systems with infinite degrees of freedom, while Chapter 8 focuses on direct methods in the calculus of variations. Each chapter is accompanied by problems that reinforce the concepts discussed, allowing students to apply their learning in practical scenarios. With two helpful appendices, this text serves as both a learning tool and a reference, providing clear explanations and insightful coverage of key topics in the calculus of variations.