First-Order Partial Differential Equations, Volume 1: Theory and Applications of Single Equations - Softcover

Rhee, Hyun-Ku; Aris, Rutherford; Amundson, Neal Russell

Softcover

ISBN 10: 0486419932 ISBN 13: 9780486419930

Publisher: Dover Publications, 2001

Synopsis

This first volume of a highly regarded two-volume text is fully usable on its own. After going over some of the preliminaries, the authors discuss mathematical models that yield first-order partial differential equations; motivations, classifications, and some methods of solution; linear and semilinear equations; chromatographic equations with finite rate expressions; homogeneous and nonhomogeneous quasilinear equations; formation and propagation of shocks; conservation equations, weak solutions, and shock layers; nonlinear equations; and variational problems. Exercises appear at the end of most sections. This volume is geared to advanced undergraduates or first-year grad students with a sound understanding of calculus and elementary ordinary differential equations. 1986 edition. 189 black-and-white illustrations. Author and subject indices.

Edition details

• Publisher: Dover Publications
• Publication date: 2001
• ISBN 10: 0486419932
• ISBN 13: 9780486419930
• Binding: Paperback
• Language: English
• Number of pages: 543