Partial Differential Equations: Analytical Solution Techniques (The Wadsworth & Brooks/Cole Mathematics Series). This item is unavailable.Partial Differential Equations: Analytical Solution Techniques (The Wadsworth & Brooks/Cole Mathematics Series)

This is a text for a two-semester or three-quarter sequence of courses in partial differential equations. It is assumed that the student has a good background in vector calculus and ordinary differential equations and has been introduced to such elementary aspects of partial differential equations as separation of variables, Fourier series, and eigenfunction expansions. Some familiarity is also assumed with the application of complex variable techniques, including conformal map­ ping, integration in the complex plane, and the use of integral transforms. Linear theory is developed in the first half of the book and quasilinear and nonlinear problems are covered in the second half, but the material is presented in a manner that allows flexibility in selecting and ordering topics. For example, it is possible to start with the scalar first-order equation in Chapter 5, to include or delete the nonlinear equation in Chapter 6, and then to move on to the second­ order equations, selecting and omitting topics as dictated by the course. At the University of Washington, the material in Chapters 1-4 is covered during the third quarter of a three-quarter sequence that is part of the required program for first-year graduate students in Applied Mathematics. We offer the material in Chapters 5-8 to more advanced students in a two-quarter sequence.

"This book contains a broad treatment of partial differential equations that arise in the sciences and engineering, particularly emphasizing the analytical solution techniques. In each chapter the author discusses the important applications that lead to the class of equations to be studied, presents different methods for tackling these equations, and concludes with a selection of instructive problems. A relevant bibliography has also been included at the end of this book."--BOOK JACKET. "Students and researchers in the sciences and engineering will find this book useful."--BOOK JACKET.