Analytic Methods for Partial Differential Equations. Springer Undergraduate Mathematics Series (SUMS)

Seitenzahl:

299

Gewicht:

476 g

Erschienen bei:

Springer

Kurzbeschreibung

The subject of partial differential equations holds an exciting place in mathematics. At one extreme the interest lies in the existence and uniqueness of solutions, and the functional analysis of the proofs of these properties. At the other extreme lies the applied mathematical and engineering quest to find useful solutions, either analytically or numerically, to these important equations which can be used in design and construction. The objective of this book is to actually solve equations rather than discuss the theoretical properties of their solutions. The topics are approached practically, without losing track of the underlying mathematical foundations of the subject. The topics covered include the separation of variables, the characteristic method, D'Alembert's method, integral transforms and Green's functions. Numerous exercises are provided as an integral part of the learning process, with solutions provided in a substantial appendix. TOC:Mathematical Preliminaries.- Separation of the Variables.- First Order Equations and Hyperbolic Second Order Equations.- Integral Transform Methods.- Green's Functions.- Appendix.- References.- Index.

Inhaltsverzeichnis

Contents:§Mathematical Preliminaries§Separation of the Variables. First Order Equations and Hyperbolic Second Order Equations§Integral Transform Methods§Green's Functions. Appendix§References§Index

Mehr über...

Mehr über:  Differenzialrechnung, Partielle Differenzialgleichungen

Mehr von: 

Mehr von:  Jonathan Blackledge, Gwynne A. Evans, Peter D. Yardley, Springer-Verlag GmbH