Overview
- Contains over 100 exercises
- Do it yourself” instructions included for theorems
- An elementary approach to partial differential equations presented, with minimal prerequisites
- Self-contained chapters, split into two main parts
- Includes supplementary material: sn.pub/extras
Part of the book series: Universitext (UTX)
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Table of contents (7 chapters)
Keywords
About this book
Reviews
From the reviews:
"The aim of the present book is to present hyperbolic partial differential equations at an elementary level. … the novice might well be used to a more discursive style. … HypPDE is a very good book … the more experienced mathematician will also find a lot of good stuff in these pages, all presented well and cogently." (Michael Berg, The Mathematical Association of America, October, 2009)
“Any specification for the perfect mathematical monograph would doubtless exhibit self-contradiction. Where one reader requires copious details and examples, another wants a breathless flow. This terse volume on hyperbolic differential equations (which describe processes, such as wave propagation, where signals travel at finite speed) serves a … need. … Summing Up: Highly recommended. Upper-division undergraduate through professional collections.” (D. V. Feldman, Choice, Vol. 47 (8), April, 2010)
“Provides an introduction to linear hyperbolic equations symmetric hyperbolic systems and conservation laws. … The presentation is clear and over 100 exercises are included … which guide the reader step by step through the proofs of theorems. … This book provides an excellent introduction to hyperbolicequations and conservation laws, and it can be recommended to anyone who wishes to study this fertile branch of partial differential equations.” (Alan Jeffrey, Mathematical Reviews, Issue 2010 e)
“The book is useful to senior or graduated students as well as to researchers of other fields interested in hyperbolic partial differential equations. … The author often uses geometrical explanations of problems instead of tedious mathematical proofs. Some illustrative pictures would be desirable.” (Marie Kopáčková, Zentralblatt MATH, Vol. 1178, 2010)
“This is a concise introduction to the main aspects of the theory of hyperbolic partial differential equations. … This work is highly recommended for a quickand smooth entry into this field of great current interest.” (M. Kunzinger, Monatshefte für Mathematik, Vol. 163 (1), May, 2011)
About the author
Bibliographic Information
Book Title: Hyperbolic Partial Differential Equations
Authors: Serge Alinhac
Series Title: Universitext
DOI: https://doi.org/10.1007/978-0-387-87823-2
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag New York 2009
Softcover ISBN: 978-0-387-87822-5Published: 29 June 2009
eBook ISBN: 978-0-387-87823-2Published: 17 June 2009
Series ISSN: 0172-5939
Series E-ISSN: 2191-6675
Edition Number: 1
Number of Pages: XII, 150
Topics: Analysis, Partial Differential Equations, Potential Theory