arXiv:1306.1675 [math-ph]AbstractReferencesReviewsResources
Introduction to Mathematical Physics. Calculus of Variations and Boundary-value Problems
Published 2013-06-07, updated 2015-03-05Version 3
This book considers posing and the methods of solving simple linear boundary-value problems in classical mathematical physics. The questions encompassed include: the fundamentals of calculus of variations; one-dimensional boundary-value problems in the oscillation and heat conduction theories, with a detailed analysis of the Sturm-Liouville boundary-value problem and substantiation of the Fourier method; sample solutions of the corresponding problems in two and three dimensions, with essential elements of the special function theory. The text is designed for Physics, Engineering, and Mathematics majors.
Comments: A university textbook (in Ukrainian), 380 pages, 40 figures, ISBN 978-966-190-912-9
Keywords: mathematical physics, variations, solving simple linear boundary-value problems, introduction, one-dimensional boundary-value problems
Tags: textbook
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