This excellent introduction to hyperbolic differential equations is devoted to linear equations and symmetric systems, as well as conservation laws. The book is divided into two parts. The first, which is intuitive and easy to visualize, includes all aspects of the theory involving vector fields and integral curves; the second describes the wave equation and its perturbations for two- or three-space dimensions. Over 100 exercises are included, as well as “do it yourself” instructions for the proofs of many theorems. Only an understanding of differential calculus is required. Notes at the end of the self-contained chapters, as well as references at the end of the book, enable ease-of-use for both the student and the independent researcher. Contains over 100 exercises “Do it yourself” instructions inclued for theorems An elementary approach to partial differential equations presented, with minimal prerequisites Self-contained chapters, split into two main parts INDICE: Introduction.- Vector Fields and Integral Curves.- Operators and Systems in the Plane.- Nonlinear First Order Equations.- Conservation Laws in One Dimension Space.- The Wave Equation.- Energy Inequalities for the Wave Equation.- Variable Coefficients Wave Equations and Systems.- Appendices.- Index.
- ISBN: 978-0-387-87822-5
- Editorial: Springer
- Encuadernacion: Rústica
- Páginas: 150
- Fecha Publicación: 01/07/2009
- Nº Volúmenes: 1
- Idioma: Inglés