This edition of a standard continues to develop the mathematical methods in a problem-solving context. Applicatons and real-world situations lead to generalizations of mathematical theory. Physics is used to develop the mathematical problems while mathematical solutions are interpreted in physical terms. Chapters 0, 5, 6, and 7 are optional. allowing either a theoretical or applied course. Extensive coverage of methods for solving partial differential equations. Heat, wave, and potential equations are treated separately. In chapter 0, new sections cover homogeneous linear equations, and Green's functions. Proof of convergence is new Section 1.7. Infinite domains treated in context. Several computer programs in BASIC have been added to Chapter 7.

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