A First Course in the Calculus of Variations is popular PDF and ePub book, written by Mark Kot in 2014-10-06, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, A First Course in the Calculus of Variations can be Read Online from any device for your convenience.
A First Course in the Calculus of Variations Book PDF Summary
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.
Detail Book of A First Course in the Calculus of Variations PDF
- Author : Mark Kot
- Release : 06 October 2014
- Publisher : American Mathematical Society
- ISBN : 9781470414955
- Genre : Mathematics
- Total Page : 311 pages
- Language : English
- PDF File Size : 21,7 Mb
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