Building on the basic techniques of separation of variables and Fourier series, the book presents the solution of boundary-value problems for basic partial differential equations: the heat equation, wave equation, and Laplace equation, considered in various standard coordinate systems--rectangular, cylindrical, and spherical. Each of the equations is derived in the three-dimensional context; the solutions are organized according to the geometry of the coordinate system, which makes the mathematics especially transparent. ...
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Building on the basic techniques of separation of variables and Fourier series, the book presents the solution of boundary-value problems for basic partial differential equations: the heat equation, wave equation, and Laplace equation, considered in various standard coordinate systems--rectangular, cylindrical, and spherical. Each of the equations is derived in the three-dimensional context; the solutions are organized according to the geometry of the coordinate system, which makes the mathematics especially transparent. Bessel and Legendre functions are studied and used whenever appropriate throughout the text. The notions of steady-state solution of closely related stationary solutions are developed for the heat equation; applications to the study of heat flow in the earth are presented. The problem of the vibrating string is studied in detail both in the Fourier transform setting and from the viewpoint of the explicit representation (d'Alembert formula). Additional chapters include the numerical analysis of solutions and the method of Green's functions for solutions of partial differential equations. The exposition also includes asymptotic methods (Laplace transform and stationary phase). With more than 200 working examples and 700 exercises (more than 450 with answers), the book is suitable for an undergraduate course in partial differential equations.
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Add this copy of Partial Differential Equations and Boundary-Value to cart. $25.98, good condition, Sold by HPB-Red rated 5.0 out of 5 stars, ships from Dallas, TX, UNITED STATES, published 2011 by Amer Mathematical Society.
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Add this copy of Partial Differential Euations and Boundary-Value to cart. $33.00, fair condition, Sold by Books International rated 3.0 out of 5 stars, ships from Toronto, ON, CANADA, published 1998 by McGraw-Hill Professional.
Add this copy of Partial Differential Equations and Boundary Value to cart. $35.00, like new condition, Sold by J. Hood, Booksellers, Inc. rated 5.0 out of 5 stars, ships from Baldwin City, KS, UNITED STATES, published 1998 by McGraw-Hill.
Add this copy of Partial Differential Equations and Boundary Value to cart. $59.46, good condition, Sold by Anybook rated 5.0 out of 5 stars, ships from Lincoln, UNITED KINGDOM, published 1998 by McGraw-Hill.
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This is an ex-library book and may have the usual library/used-book markings inside. This book has soft covers. Book contains pencil markings. In good all round condition. Please note the Image in this listing is a stock photo and may not match the covers of the actual item, 800grams, ISBN: 9780071158350.
Add this copy of Partial Differential Equations and Boundary Value to cart. $37.72, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 1997 by William C Brown Pub.
Add this copy of Partial Differential Equations and Boundary-Value to cart. $14.30, good condition, Sold by ThriftBooks-Atlanta rated 5.0 out of 5 stars, ships from Austell, GA, UNITED STATES, published 1991 by McGraw-Hill Companies.
Add this copy of Partial Differential Equations and Boundary-Value to cart. $14.30, good condition, Sold by ThriftBooks-Reno rated 5.0 out of 5 stars, ships from Reno, NV, UNITED STATES, published 1991 by McGraw-Hill Companies.
Add this copy of Partial Differential Equations and Boundary Value to cart. $23.00, very good condition, Sold by Powell's Books Chicago rated 5.0 out of 5 stars, ships from Chicago, IL, UNITED STATES, published 1991 by McGraw-Hill Companies.
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Very Good. 1991. Hardcover. Cloth, no dj. Some rubbing to cloth; corners bumped. Prev. owner's name on flyleaf, else clean internals. Very Good. (Subject: Mathematics).