Basic Linear Partial Differential Equations
Author | : Francois Treves |
Publisher | : Courier Corporation |
Total Pages | : 498 |
Release | : 2006-11-17 |
ISBN-10 | : 9780486453460 |
ISBN-13 | : 0486453464 |
Rating | : 4/5 (464 Downloads) |
Download or read book Basic Linear Partial Differential Equations written by Francois Treves and published by Courier Corporation. This book was released on 2006-11-17 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focusing on the archetypes of linear partial differential equations, this text for upper-level undergraduates and graduate students features most of the basic classical results. The methods, however, are decidedly nontraditional: in practically every instance, they tend toward a high level of abstraction. This approach recalls classical material to contemporary analysts in a language they can understand, as well as exploiting the field's wealth of examples as an introduction to modern theories. The four-part treatment covers the basic examples of linear partial differential equations and their fundamental solutions; the Cauchy problem; boundary value problems; and mixed problems and evolution equations. Nearly 400 exercises appear throughout the text, several containing detailed information that enables readers to reconstruct the proofs.