| Partial Differential Equations Contributor(s): Rauch, Jeffrey (Author) |
|||
 |
ISBN: 0387974725 ISBN-13: 9780387974729 Publisher: Springer
Binding Type: Hardcover Published: December 1991 Annotation: The objective of this book is to present an introduction to the ideas, phenomena, and methods of partial differential equations. This material can be presented in one semester and requires no previous knowledge of differential equations, but assumes the reader to be familiar with advanced calculus, real analysis, the rudiments of complex analysis, and thelanguage of functional analysis. Topics discussed in the text include elliptic, hyperbolic, and parabolic equations, the energy method, maximum principle, and the Fourier Transform. The text features many historical and scientific motivations and applications. Included throughout are exercises, hints, and discussions which form an important and integral part of the course. Click for more in this series: Graduate Texts in Mathematics |
||
| Additional Information |
| BISAC Categories: - Mathematics | Differential Equations - Partial - Mathematics | Mathematical Analysis |
| Dewey: 515.353 |
| LCCN: 97122649 |
| Series: Graduate Texts in Mathematics |
| Physical Information: 0.69" H x 6.14" W x 9.21" L (1.25 lbs) 266 pages |
| Features: Bibliography, Illustrated, Index |
| Descriptions, Reviews, Etc. |
| Publisher Description: This book is based on a course I have given five times at the University of Michigan, beginning in 1973. The aim is to present an introduction to a sampling of ideas, phenomena, and methods from the subject of partial differential equations that can be presented in one semester and requires no previous knowledge of differential equations. The problems, with hints and discussion, form an important and integral part of the course. In our department, students with a variety of specialties-notably differen- tial geometry, numerical analysis, mathematical physics, complex analysis, physics, and partial differential equations-have a need for such a course. The goal of a one-term course forces the omission of many topics. Everyone, including me, can find fault with the selections that I have made. One of the things that makes partial differential equations difficult to learn is that it uses a wide variety of tools. In a short course, there is no time for the leisurely development of background material. Consequently, I suppose that the reader is trained in advanced calculus, real analysis, the rudiments of complex analysis, and the language offunctional analysis. Such a background is not unusual for the students mentioned above. Students missing one of the "essentials" can usually catch up simultaneously. A more difficult problem is what to do about the Theory of Distributions. |
| Customer ReviewsSubmit your own review |
| To tell a friend about this book, you must Sign In First! |
Copyright © 2024 TheReadingWarehouse.com