Beginning Partial Differential Equations / Wiley Series in Pure and Applied Mathematics Bd.1 (PDF)

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(TM) 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.