First-Order Partial Differential Equations, Vol. 1
Autor: | Hyun-Ku Rhee, Rutherford Aris, Neal R. Amundson |
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EAN: | 9780486146201 |
eBook Format: | ePUB |
Sprache: | Englisch |
Produktart: | eBook |
Veröffentlichungsdatum: | 05.05.2014 |
Kategorie: |
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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.