First Course In The Calculus Of Variations A 1905 Edition at Meripustak

First Course In The Calculus Of Variations A 1905 Edition

Books from same Author: Books Wagon

Books from same Publisher: ORIENT BLACKSWAN

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  • General Information  
    Author(s)Books Wagon
    PublisherORIENT BLACKSWAN
    ISBN9781470437398
    Pages312
    BindingSoftbound
    LanguageEnglish
    Publish YearJuly 1905

    Description

    ORIENT BLACKSWAN First Course In The Calculus Of Variations A 1905 Edition by Books Wagon

    This book is intended for a first course in the calculus of variations, at the senior or beginning graduate level. The reader will learn methods for finding functions that maximize or minimize integrals. The text lays out important necessary and sufficient conditions for extrema in historical order, and it illustrates these conditions with numerous worked-out examples from mechanics, optics, geometry, and other fields.The exposition starts with simple integrals containing a single independent variable, a single dependent variable, and a single derivative, subject to weak variations, but steadily moves on to more advanced topics, including multivariate problems, constrained extrema, homogeneous problems, problems with variable endpoints, broken extremals, strong variations, and sufficiency conditions. Numerous line drawings clarify the mathematics. Each chapter ends with recommended readings that introduce the student to the relevant scientific literature and with exercises that consolidate understanding.