Applied Partial Differential Equations - Couverture souple

Logan, J. David

 
9780387984391: Applied Partial Differential Equations

Synopsis

This textbook is for the standard, one-semester, junior-senior course that often goes by the title " Elementary Partial Differential Equations " or " Boundary Value Problems ". The audience consists of students in mathematics, engineering, and the physical sciences. The topics include derivations of some of the standard models of mathematical physics (e.g., the heat equation, the wave equation, and Laplace's equation) and methods for solving those equations on unbounded and bounded domains (transform methods and eigenfunction expansions). Prerequisites include multivariable calculus and elementary differential equations. The text differs from other texts in that it is a brief treatment (about 200 pages) ; yet it provides coverage of the main topics usually studied in the standard course as well as an introduction to using computer algebra packages to solve and understand partial differential equations. The many exercises help students sharpen their computational skills by encouraging them to think about concepts and derivations. The student who reads this book carefully and solves most of the problems will have a sound knowledge base for a second-year partial differential equations course where careful proofs ore constructed or upper division courses in science and in engineering where detailed applications of partial differential equations are introduced.

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Autres éditions populaires du même titre

9780387984414: Applied Partial Differential Equations

Edition présentée

ISBN 10 :  0387984410 ISBN 13 :  9780387984414
Editeur : Springer-Verlag New York Inc., 1998
Couverture rigide