Applied Partial Differential Equations

2., nd Auflage 2004
ISBN: 978-0-387-20953-1
Verlag: Springer Netherlands

Buch, Englisch, 212 Seiten, PB, Format (B × H): 155 mm x 235 mm, Gewicht: 720 g

Reihe: Undergraduate Texts in Mathematics

This text is written for the standard, one-semester, undergraduate course in elementary partial differential equations. The topics include derivations of some of the standard equations of mathematical physics (including the heat equation, the wave equation, and Laplace's equation) and methods for solving those equations on bounded and unbounded domains. Methods include eigenfunction expansions, or separation of variables, and methods based on Fourier and Laplace transforms.

Zielgruppe

Lower undergraduate

Autoren/Hrsg.

Logan, J. David

Fachgebiete

• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen

Inhaltsverzeichnis

* The Physical Origins of Partial Differential Equations * Partial Differential Equations on Unbounded Domains * Orthogonal Expansions * Partial Differential Equations on Bounded Domains * PDE Models in Biology * Appendix: Ordinary Differential Equations * Table of Laplace Transforms * References * Index