Introductory Applications of Partial Differential Equations

Lamb George L.

ISBN 10: 0471311235 / ISBN 13: 9780471311232

Verlag: John Wiley & Sons, 1995

pp. 496 This item is printed on demand. Bestandsnummer des Verkäufers 7350327

Inhaltsangabe:

INTRODUCTORY APPLICATIONS OF PARTIAL DIFFERENTIAL EQUATIONS

With Emphasis on Wave Propagation and Diffusion

This is the ideal text for students and professionals who have somefamiliarity with partial differential equations, and who now wishto consolidate and expand their knowledge. Unlike most other textson this topic, it interweaves prior knowledge of mathematics andphysics, especially heat conduction and wave motion, into apresentation that demonstrates their interdependence. The result isa superb teaching text that reinforces the reader's understandingof both mathematics and physics. Rather than presenting themathematics in isolation and out of context, problems in this textare framed to show how partial differential equations can be usedto obtain specific information about the physical system beinganalyzed.

Designed for upper-level students, professionals and researchers inengineering, applied mathematics, physics, and optics, ProfessorLamb's text is lucid in its presentation and comprehensive in itscoverage 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 selectedtopics and handy appendices that review Fourier Series, LaplaceTransform, Sturm-Liouville Equations, Bessel Functions, andLegendre Polynomials.

Über die Autorin bzw. den Autor: G. L. LAMB, Jr., is Professor of Mathematics and Optical Sciences at the University of Arizona.

Bibliografische Details

Titel: Introductory Applications of Partial ...
Verlag: John Wiley & Sons
Erscheinungsdatum: 1995
Einband: Hardcover
Zustand: New