A broad introduction to PDEs with an emphasis on specialized topics and applications occurring in a variety of fields Featuring a thoroughly revised presentation of topics, Beginning Partial Differential Equations, Third Edition provides a challenging, yet accessible, combination of techniques, applications, and introductory theory on the subjectof partial differential equations. The new edition offers nonstandard coverageon material including Burger s equation, the telegraph equation, damped wavemotion, and the use of characteristics to solve nonhomogeneous problems. The Third Edition is organized around four themes: methods of solution for initial-boundary value problems; applications of partial differential equations; existence and properties of solutions; and the use of software to experiment with graphics and carry out computations.
With a primary focus on wave and diffusion processes, Beginning Partial Differential Equations, Third Edition also includes: * Proofs of theorems incorporated within the topical presentation, such as the existence of a solution for the Dirichlet problem * The incorporation of Maple to perform computations and experiments * Unusual applications, such as Poe s pendulum * Advanced topical coverage of special functions, such as Bessel, Legendre polynomials, and spherical harmonics * Fourier and Laplace transform techniques to solve important problems Beginning of Partial Differential Equations, Third Edition is an ideal textbook for upper-undergraduate and first-year graduate-level courses in analysis and applied mathematics, science, and engineering.
- ISBN10 1118629949
- ISBN13 9781118629949
- Publish Date 30 May 2014 (first published 25 December 1998)
- Publish Status Active
- Publish Country US
- Imprint John Wiley & Sons Inc
- Edition 3rd Edition
- Format Hardcover
- Pages 456
- Language English