Theory, Technique and Practice, Second Edition
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Köp båda 2 för 1771 kr"Retaining many of the strong aspects of the first edition, which received positive feedback from readers, the new edition focuses on clarity of exposition and examples, many of which feature applications of differential equations. ... Being an homage to the excellent writing skills of George Simmons and his well-known text on differential equations written back in 1972, this updated edition maintains the highest standards of mathematics exposition. Warmly recommended as a comprehensive and modern textbook on theory, methods, and applications of differential equations!" -Zentralblatt MATH 1316 "Krantz is a very prolific writer. He...creates excellent examples and problem sets." -Albert Boggess, Professor and Director of the School of Mathematics and Statistical Sciences, Arizona State University, Tempe, USA
Steven G. Krantz is a professor of mathematics at Washington University in St. Louis. He has written more than 65 books and more than 175 scholarly papers and is the founding editor of the Journal of Geometric Analysis. An AMS Fellow, Dr. Krantz has been a recipient of the Chauvenet Prize, Beckenbach Book Award, and Kemper Prize. He received a Ph.D. from Princeton University.
What is a Differential Equation? Second-Order Linear Equations. Qualitative Properties and Theoretical Aspects. Power Series Solutions and Special Functions. Fourier Series: Basic Concepts. Partial Differential Equations and Boundary Value Problems. Laplace Transforms. The Calculus of Variations. Numerical Methods. Systems of First-Order Equations. The Nonlinear Theory. Dynamical Systems. Appendix on Linear Algebra.