A First Course in the Calculus of Variations

Released on by Mark Kot
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  • A First Course in the Calculus of Variations Book Detail

  • Author : Mark Kot
  • Release Date : 2014-10-06
  • Publisher : American Mathematical Society
  • Genre : Mathematics
  • Pages : 311
  • ISBN 13 : 1470414953
  • File Size : 57,57 MB
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A First Course in the Calculus of Variations by Mark Kot PDF Summary

Book Description: 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.

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A Course in the Calculus of Variations

A Course in the Calculus of Variations

File Size : 54,54 MB
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This book provides an introduction to the broad topic of the calculus of variations. It addresses the most natural questions on variational problems and the mat