eBook details
- Title: First-Order Partial Differential Equations, Vol. 1
- Author : Hyun-Ku Rhee, Rutherford Aris & Neal R. Amundson
- Release Date : January 05, 2014
- Genre: Mathematics,Books,Science & Nature,
- Pages : * pages
- Size : 50862 KB
Description
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.