A textbook suitable for courses covering such subjects as Fourier series, orthogonal functions, boundary value problems, Green's functions, transform methods, or advanced engineering mathematics and mathematical models in the physical sciences. Assumes a working knowledge of calculus and elementary differential equations. Emphasizes simple models such as heat flow, vibrating strings, and membranes; and formulates equations from physical principles; and offers physical interpretations of mathematical results. First published in 1983 and here revised only slightly from the 1987 edition. Annotation c. by Book News, Inc., Portland, Or.
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Emphasizing physical interpretations of mathematical solutions, this book introduces applied mathematics and presents partial differential equations. Leading readers from simple exercises through increasingly powerful mathematical techniques, this book discusses hear flow and vibrating strings and membranes, for a better understand of the relationship between mathematics and physical problems. It also emphasizes problem solving and provides a thorough approach to solutions. The third edition of , Elementary Applied Partial Differential Equations; With Fourier Series and Boundary Value Problems has been revised to include a new chapter covering dispersive waves. It also includes new sections covering fluid flow past a circular cylinder; reflection and refraction of light and sound waves; the finite element method; partial differential equations with spherical geometry; eigenvalue problems with a continuous and discrete spectrum; and first-order nonlinear partial differential equations. An essential reference for any technical or mathematics professional.
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