First-Order Partial Differential Equations, Vol. 1

Nonfiction, Science & Nature, Mathematics, Differential Equations
Cover of the book First-Order Partial Differential Equations, Vol. 1 by Hyun-Ku Rhee, Rutherford Aris, Neal R. Amundson, Dover Publications
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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.
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
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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