Geared toward students of applied rather than pure mathematics, this volume introduces elements of partial differential equations. Its focus is primarily upon finding solutions to particular equations rather than general theory.Topics include ordinary differential equations in more than two variables, partial differential equations of the first and second orders, Laplace's equation, the wave equation, and the diffusion equation. A helpful Appendix offers information on systems of surfaces, and solutions to the odd-numbered problems appear at the end of the book. Readers pursuing independent study will particularly appreciate the worked examples that appear throughout the text.
This is a real gem of a book. The emphasis is on practical methods to solve partial differential equations. Thus, if you’re looking for more of the nitty gritty math theory, you may be disappointed here. However, if you’re like me, and you want an arsenal of tools at your disposal to tackle a wide range of partial differential equations that one often encounters when dealing with physical phenomena, then I’d highly recommended this book.