This first volume of a highly regarded 2-volume text is fully usable on its own. The authors discuss mathematical models that yield first-order partial differential equations; motivations, classifications, and methods of solution; linear and semilinear equations; and much more. Exercises appear at the end of most sections. 1986 edition. Includes 189 black-and-white illustrations. Author and subject indices.
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First-Order Partial Differential Equations, Vol. 2 by Hyun-Ku Rhee, Rutherford Aris, Neal R. Amundson Second volume of a highly regarded 2-volume set, fully usable on its own, examines physical systems that can usefully be modeled by equations of the first order. Exercises at the end of most chapters, 1989 edition. Includes 198 black-and-white illustrations.