Monday, June 10, 2013

1306.1675 (V. M. Adamyan et al.)

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

V. M. Adamyan, M. Ya. Sushko
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.
View original: http://arxiv.org/abs/1306.1675

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