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Introduction to Partial Differential Equations with Applicationsby E. C. Zachmanoglou
Synopses & ReviewsPublisher Comments:This book has been widely acclaimed for its clear, cogent presentation of the theory of partial differential equations, and the incisive application of its principal topics to commonly encountered problems in the physical sciences and engineering. It was developed and tested at Purdue University over a period of five years in classes for advanced undergraduate and beginning graduate students in mathematics, engineering and the physical sciences. The book begins with a short review of calculus and ordinary differential equations, then moves on to explore integral curves and surfaces of vector fields, quasilinear and linear equations of first order, series solutions and the Cauchy Kovalevsky theorem. It then delves into linear partial differential equations, examines the Laplace, wave and heat equations, and concludes with a brief treatment of hyperbolic systems of equations. Among the most important features of the text are the challenging problems at the end of each section which require a wide variety of responses from students, from providing details of the derivation of an item presented to solving specific problems associated with partial differential equations. Requiring only a modest mathematical background, the text will be indispensable to those who need to use partial differential equations in solving physical problems. It will provide as well the mathematical fundamentals for those who intend to pursue the study of more advanced topics, including modern theory. Synopsis:This text explores the essentials of partial differential equations as applied to engineering and the physical sciences. Discusses ordinary differential equations, integral curves and surfaces of vector fields, the CauchyKovalevsky theory, more. Problems and answers. Synopsis:This text explores the essentials of partial differential equations as applied to engineering and the physical sciences. Discusses ordinary differential equations, integral curves and surfaces of vector fields, the CauchyKovalevsky theory, more. Problems and answers. What Our Readers Are SayingBe the first to add a comment for a chance to win!Product Details
Other books you might likeRelated SubjectsScience and Mathematics » Mathematics » Calculus » General Science and Mathematics » Mathematics » Differential Equations Science and Mathematics » Mathematics » General Science and Mathematics » Mathematics » Probability and Statistics » General Science and Mathematics » Mathematics » Probability and Statistics » Statistics Science and Mathematics » Physics » Relativity Theory 

