Introductory Applications of Partial Differential Equations (eBook)

With Emphasis on Wave Propagation and Diffusion

Jr. G. L. Lamb (Autor)

eBook Download: PDF

2011 | 1. Auflage
496 Seiten
Wiley (Verlag)
978-1-118-03108-7 (ISBN)

Infos

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.

Autor

G. L. LAMB, Jr., is Professor of Mathematics and Optical Sciences at the University of Arizona.

Inhalt

One-Dimensional Problems--Separation of Variables.

Laplace Transform Method.

Two and Three Dimensions.

Green's Functions.

Spherical Geometry.

Fourier Transform Methods.

Perturbation Methods.

Generalizations and First Order Equations.

Selected Topics.

Appendices.

References.

Index.

Produkt-Details

• Erscheint lt. Verlag: 15.2.2011
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• Themenwelt: Naturwissenschaften ► Physik / Astronomie ► Mechanik
• Themenwelt: Technik
• Schlagworte: Applied Mathematics in Engineering • Applied Mathmatics in Engineering • Differential Equations • Differentialgleichungen • Mathematics • Mathematik • Mathematik in den Ingenieurwissenschaften
• ISBN-10: 1-118-03108-3 / 1118031083
• ISBN-13: 978-1-118-03108-7 / 9781118031087