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    Calculus of Variations
    Calculus of Variations
    Calculus of Variations
    Ebook147 pages2 hours

    Calculus of Variations

    By L. E. Elsgolc

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    About this ebook

    Calculus of Variations aims to provide an understanding of the basic notions and standard methods of the calculus of variations, including the direct methods of solution of the variational problems. The wide variety of applications of variational methods to different fields of mechanics and technology has made it essential for engineers to learn the fundamentals of the calculus of variations.
    The book begins with a discussion of the method of variation in problems with fixed boundaries. Subsequent chapters cover variational problems with movable boundaries and some other problems; sufficiency conditions for an extremum; variational problems of constrained extrema; and direct methods of solving variational problems. Each chapter is illustrated by a large number of problems some of which are taken from existing textbooks. The solutions to the problems in each chapter are provided at the end of the book.
    LanguageEnglish
    PublisherElsevier Science
    Release dateJul 10, 2014
    ISBN9781483137568
    Calculus of Variations

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