INTRODUCTORY APPLICATIONS OF PARTIAL DIFFERENTIAL EQUATIONS
With Emphasis on Wave Propagation and Diffusion
This is the ideal text for students and professionals who have some
familiarity with partial differential equations, and who now wish
to consolidate and expand their knowledge. Unlike most other texts
on this topic, it interweaves prior knowledge of mathematics and
physics, especially heat conduction and wave motion, into a
presentation that demonstrates their interdependence. The result is
a superb teaching text that reinforces the reader's understanding
of both mathematics and physics. Rather than presenting the
mathematics in isolation and out of context, problems in this text
are framed to show how partial differential equations can be used
to obtain specific information about the physical system being
analyzed.
Designed for upper-level students, professionals and researchers in
engineering, applied mathematics, physics, and optics, Professor
Lamb's text is lucid in its presentation and comprehensive in its
coverage of all the important topic areas, including:
* One-Dimensional Problems
* The Laplace Transform Method
* Two and Three Dimensions
* Green's Functions
* Spherical Geometry
* Fourier Transform Methods
* Perturbation Methods
* Generalizations and First Order Equations
In addition, this text includes a supplementary chapter of
selected topics and handy appendices that review Fourier Series,
Laplace Transform, Sturm-Liouville Equations, Bessel Functions, and
Legendre Polynomials.
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