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A First Course in the Calculus of Variations
By:Mark Kot
Published on 2014-10-06 by American Mathematical Society

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.

This Book was ranked at 16 by Google Books for keyword calculus.

Book ID of A First Course in the Calculus of Variations's Books is UBi8BAAAQBAJ, Book which was written byMark Kothave ETAG "GjFiUBif0OQ"

Book which was published by American Mathematical Society since 2014-10-06 have ISBNs, ISBN 13 Code is 9781470414955 and ISBN 10 Code is 1470414953

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Book which have "298 Pages" is Printed at BOOK under CategoryMathematics

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