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First-Order Partial Differential Equations, Vol. 1

Hyun-Ku RheeRutherford ArisNeal R. Amundson

出版	Dover Publications, 2001-09-10
主題	Mathematics / Differential Equations / General
ISBN	04864199329780486419930
URL	http://books.google.com.hk/books?id=pIVgxAEACAAJ&hl=&source=gbs_api

註釋

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.