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Introduction to Mathematical Physics. Calculus of Variations and Boundary-value Problems

2013/06/07 by V. M. Adamyan, Adamyan, V. M., M. Ya. Sushko +1
Earth and Planetary Sciences · Mathematics · #34B24 #35-01 #35Gxx #35Qxx #49-01 #49J35 #49Jxx #Aquatic and Environmental Studies #Differential Equations and Numerical Methods #FOS: Physical sciences #Mathematical Physics (math-ph) #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.1306.1675

openalex publication_date 2013/06/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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