Designed for use in a 1-semester course by seniors and beginning graduate students, this rigorous presentation explores practical methods of solving differential equations, plus the unifying theory underlying the mathematical superstructure. Topics include basic concepts, Fourier series, 2nd-order partial differential equations, wave equation, potential equation, heat equation, and more. Includes exercises. 1961 edition.
While the classical topics of separation of variables, Fourier analysis, boundary value problems, Green's functions, and special functions continue to form the core of an introductory course, the inclusion of nonlinear equations, shock wave ...
The book can be used to teach a variety of different courses. This new edition features new problems throughout, and the problems have been rearranged in each section from simplest to most difficult. New examples have also been added.
Partial Differential Equations presents a balanced and comprehensive introduction to the concepts and techniques required to solve problems containing unknown functions of multiple variables.
This text explores the essentials of partial differential equations as applied to engineering and the physical sciences.
Easy-to-use text examines principal method of solving partial differential equations, 1st-order systems, computation methods, and much more. Over 600 exercises, with answers for many. Ideal for a 1-semester or full-year course.
This text explores the essentials of partial differential equations as applied to engineering and the physical sciences.
Great care has been taken throughout the book to seek a sound balance between these techniques. The authors present the material at an easy pace and exercises ranging from the straightforward to the challenging have been included.
This book is an introduction to methods for solving partial differential equations (PDEs).
An Instructor's Manual presenting detailed solutions to all the problems in the book is available upon request from the Wiley editorial department.
In addition, this book: Introduces methods and techniques for solving first and second order PDEs Presents the main four PDEs (the advection equation, the diffusion equation, Laplace’s equation, and the wave equation), which are ...