|aDifferential equations and boundary value problems : |bcomputing and modeling / |cC. Henry Edwards, David E. Penney.
|aUpper Saddle River, NJ : |bPearson Education, |cc2004.
|axv, 787, 7 p. : |bcol. ill. ; |c27 cm.
|aIncludes bibliographical references (p. 711-713) and index.
|aFirst-order differential equations -- Mathematical models and numerical methods -- Linear equations of higher order -- Introduction to systems of differential equations -- Linear systems of differential equations -- Nonlinear systems and phenomena -- Laplace transform methods -- Power series methods -- Fourier series methods -- Eigenvalues and boundary value problems.
This practical book reflects the new technological emphasis that permeates differential equations, including the wide availability of scientific computing environments like Maple, Mathematica, and MATLAB; it does not concentrate on traditional manual methods but rather on new computer-based methods that lead to a wider range of more realistic applications. The book starts and ends with discussions of mathematical modeling of real-world phenomena, evident in figures, examples, problems, and applications throughout the book. For mathematicians and those in the field of computer science.