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Calculus of Variations with Applications (Dover Books on Mathematics)

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Book Details

  • Publisher: Dover

  • Author: George M. Ewing

  • Language: English

  • Edition: New Edition

  • ISBN: 9780486648569

  • Pages: 352

  • Cover: Paperback

  • Dimensions: 8.4 x 5.5 x 0.9 inches

About The Book

Introduction to Variational Theory by George M. Ewing presents a rigorous yet application-oriented approach to variational theory, designed to enhance students’ understanding and provide them with the foundational tools to explore more specialized texts and research papers. The book offers a well-balanced treatment, covering classical conditions for extrema, modern existence theory, and tackling contemporary problems in the field with fresh insights.

The first six chapters of the book are accessible to readers with a basic understanding of advanced calculus, with the introductory Chapter 1 providing a helpful review of prerequisite concepts. As the text progresses, it delves into more advanced topics, requiring a background in real analysis, theory of differential equations, functional analysis, and topology. Despite this, the book remains self-contained, allowing readers to engage with the material and develop a deep understanding of variational theory, even without an advanced mathematical background. Full of examples from engineering, physics, and other diverse fields, this text is ideal for students seeking a thorough introduction to the subject while offering a challenging learning experience.