Solution of Ordinary Differential Equations by Continuous Groups

1. Auflage 2019
ISBN: 978-0-367-39787-6
Verlag: Taylor & Francis Ltd (Sales)

Buch, Englisch, 232 Seiten, Format (B × H): 155 mm x 231 mm, Gewicht: 227 g

Written by an engineer and sharply focused on practical matters, this text explores the application of Lie groups to solving ordinary differential equations (ODEs). Although the mathematical proofs and derivations in are de-emphasized in favor of problem solving, the author retains the conceptual basis of continuous groups and relates the theory to problems in engineering and the sciences.

The author has developed a number of new techniques that are published here for the first time, including the important and useful enlargement procedure. The author also introduces a new way of organizing tables reminiscent of that used for integral tables. These new methods and the unique organizational scheme allow a significant increase in the number of ODEs amenable to group-theory solution.

Solution of Ordinary Differential Equations by Continuous Groups offers a self-contained treatment that presumes only a rudimentary exposure to ordinary differential equations. Replete with fully worked examples, it is the ideal self-study vehicle for upper division and graduate students and professionals in applied mathematics, engineering, and the sciences.

Zielgruppe

Professional Practice & Development

Autoren/Hrsg.

Emanuel, George

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Inhaltsverzeichnis

BACKGROUND: Continuous One-Parameter Group-I. Method of Characteristics. Continuous One-Parameter Group-II. ORDINARY DIFFERENTIAL EQUATIONS. First Order ODEs. Higher Order ODEs. Second-Order ODEs. APPENDICES: Bibliography. The Rotation Group. Basic Relations. Tables. Answers to Selected Problems.

Über Autor(innen)

Emanuel, George