Applied Partial Differential Equations: An Introduction

Erscheinungsjahr 2002
ISBN: 978-0-12-382252-9
Verlag: William Andrew Publishing

Buch, Englisch, 394 Seiten, Format (B × H): 152 mm x 229 mm, Gewicht: 680 g

This book is written to meet the needs of undergraduates in applied mathematics, physics and engineering studying partial differential equations. It is a more modern, comprehensive treatment intended for students who need more than the purely numerical solutions provided by programs like the MATLAB PDE Toolbox, and those obtained by the method of separation of variables, which is usually the only theoretical approach found in the majority of elementary textbooks. This will fill a need in the market for a more modern text for future working engineers, and one that students can read and understand much more easily than those currently on the market.

Zielgruppe

Professionals and others interested in applied mathematics, physics, sciences and engineering.

Autoren/Hrsg.

Jeffrey, Alan

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Interdisziplinäres Wissenschaften Wissenschaften: Allgemeines Populärwissenschaftliche Werke
• Mathematik | Informatik Mathematik Mathematik Allgemein

Inhaltsverzeichnis

Outline Description of the Book; Preface; Introduction to Partial Differential Equations; Linear and Nonlinear First Order Equations and Shock; Classification of Equations and Reduction to Standard Form; Linear Waves Propogation in One or More Space Dimensions; Fourier Series, Legendre and Bessel Functions; Background and Separation of Variables with Applications; General Results for Linear Elliptic and Parabolic Equations; Hyperbolic Systems, Riemann Invariants, Simple Waves and Compound Riemann Problems; Bibliography; Answers to Odd Numbered Problems; Figures