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First-Order Partial Differential Equations, Volume 1: Theory and Applications of Single Equations

Posted By: roxul
First-Order Partial Differential Equations, Volume 1: Theory and Applications of Single Equations

Hyun-Ku Rhee, "First-Order Partial Differential Equations, Volume 1: Theory and Applications of Single Equations"
English | ISBN: 0486419932 | 2001 | 543 pages | PDF | 40 MB

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.
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