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Hyperbolic Partial Differential Equations

Serge Alinhac

ISBN: 9780387878225
Format: Paperback
Publisher: Springer-Verlag New York Inc.

Presents an introduction to hyperbolic differential equations. This book focuses on linear equations and symmetric systems, as well as conservation laws. It includes various aspects of the theory involving vector fields and integral curves. More

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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.



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