First-Order Partial Differential Equations, Vol. 1
Nonfiction, Science & Nature, Mathematics, Differential Equations
| Author: | Hyun-Ku Rhee, Rutherford Aris, Neal R. Amundson | ISBN: | 9780486146201 |
| Publisher: | Dover Publications | Publication: | May 5, 2014 |
| Imprint: | Dover Publications | Language: | English |
| Author: | Hyun-Ku Rhee, Rutherford Aris, Neal R. Amundson |
| ISBN: | 9780486146201 |
| Publisher: | Dover Publications |
| Publication: | May 5, 2014 |
| Imprint: | Dover Publications |
| Language: | English |
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.
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.
