![]() This handbook's focus on equations encountered in applications and on equations that appear simple but prove particularly difficult to integrate make it an indispensable addition to the arsenals of mathematicians, scientists, and engineers alike. The addition of solutions to more than 1200 nonlinear equationsĪn improved format that allows for an expanded table of contents that makes locating equations of interest more quickly and easilyĮxpansion of the supplement on special functions The authors have made significant enhancements to this edition, including:Īn introductory chapter that describes exact, asymptotic, and approximate analytical methods for solving ordinary differential equations The new edition of this bestselling handbook now contains the exact solutions to more than 6200 ordinary differential equations. The chapter on power series contains a section on hypergeometric equations, which could well be the first time that an introductory book on the subject goes that far.Exact solutions of differential equations continue to play an important role in the understanding of many phenomena and processes throughout the natural sciences in that they can verify the correctness of or estimate errors in solutions reached by numerical, asymptotic, and approximate analytical methods. The order of the topics examined is slightly unusual in that Laplacians are covered after Fourier transforms and power series. Reviews This is an attractive introductory work on differential equations, with extensive information in addition to what can be covered in a two-semester course. In addition to Differential Equations with Applications and Historical Notes, Third Edition (CRC Press, 2016), Professor Simmons is the author of Introduction to Topology and Modern Analysis (McGraw-Hill, 1963), Precalculus Mathematics in a Nutshell (Janson Publications, 1981), and Calculus with Analytic Geometry (McGraw-Hill, 1985). He taught at several colleges and universities before joining the faculty of Colorado College, Colorado Springs, Colorado, in 1962, where he is currently a professor of mathematics. Simmons has academic degrees from the California Institute of Technology, Pasadena, California the University of Chicago, Chicago, Illinois and Yale University, New Haven, Connecticut. ![]()
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