Boundary Value Problems of Applied Mathematics

Addressing both physical and mathematical aspects this self-contained text on boundary value problems is geared toward advanced undergraduates and graduate students in mathematics. Prerequisites include some familiarity with multidimensional calculus and ordinary differential equations. <br>A brief introductory section precedes the two-part treatment which begins with coverage of basic theory. Topics include Fourier series of periodic functions linear boundary value problems diffusion problems related to the heat equation steady-state problems involving the potential equation and propagation problems incorporating the wave equation. The second part focuses on extensions exploring general second-order linear equations and systems series methods integral transform methods and Sturm-Liouville problems. Problem sets appear throughout the text along with a substantial section of answers to selected problems. This corrected edition includes a new Preface and an updated Appendix.