Introduction to Mathematical Physics. Calculus of Variations and Boundary-value Problems
Mathematical Physics
2015-03-06 v3 math.MP
Abstract
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.
Cite
@article{arxiv.1306.1675,
title = {Introduction to Mathematical Physics. Calculus of Variations and Boundary-value Problems},
author = {V. M. Adamyan and M. Ya. Sushko},
journal= {arXiv preprint arXiv:1306.1675},
year = {2015}
}
Comments
A university textbook (in Ukrainian), 380 pages, 40 figures, ISBN 978-966-190-912-9