Partial Differential Equations and Boundary-value Problems with Applications


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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. ...

Partial Differential Equations and Boundary Value Problems with Applications 1991, McGraw-Hill Education (ISE Editions), London

ISBN-13: 9780071008747

International student edition