Partial Differential Equations - Rilegato

Garabedian, Paul R.

Rilegato

ISBN 10: 0821813773 ISBN 13: 9780821813775

Casa editrice: Chelsea Pub Co, 1998

Riassunto

This book is a gem. It fills the gap between the standard introductory material on PDEs that an undergraduate is likely to encounter after a good ODE course (separation of variables, the basics of the second-order equations from mathematical physics) and the advanced methods (such as Sobolev spaces and fixed point theorems) that one finds in modern books. Although this is not designed as a textbook for applied mathematics, the approach is strongly informed by applications. For instance, there are many existence and uniqueness results, but they are usually approached via very concrete techniques. The text contains the standard topics that one expects in an intermediate PDE course: the Dirichlet and Neumann problems, Cauchy's problem, characteristics, the fundamental solution, PDEs in the complex domain, plus a chapter on finite differences, on nonlinear fluid mechanics, and another on integral equations. It is an excellent text for advanced undergraduates or beginning graduate students in mathematics or neighbouring fields, such as engineering and physics, where PDEs play a central role.

Su questa edizione

• Editore: Chelsea Pub Co
• Data di pubblicazione: 1998
• ISBN 10: 0821813773
• ISBN 13: 9780821813775
• Rilegatura: Copertina rigida
• Numero edizione: 2