First-Order Partial Differential Equations, Vol. 1

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  • First-Order Partial Differential Equations, Vol. 1 Book Detail

  • Author : Hyun-Ku Rhee
  • Release Date : 2014-05-05
  • Publisher : Courier Corporation
  • Genre : Mathematics
  • Pages : 561
  • ISBN 13 : 0486146200
  • File Size : 63,63 MB

First-Order Partial Differential Equations, Vol. 1 by Hyun-Ku Rhee PDF Summary

Book Description: 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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