Solution of Ordinary Differential Equations by Continuous Groups: 1st Edition (Paperback) book cover

Solution of Ordinary Differential Equations by Continuous Groups

1st Edition

By George Emanuel

Chapman and Hall/CRC

232 pages

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Paperback: 9780367397876
pub: 2019-09-19
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Description

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.

Table of Contents

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.

About the Author

Emanuel, George

Subject Categories

BISAC Subject Codes/Headings:
MAT000000
MATHEMATICS / General
MAT003000
MATHEMATICS / Applied
MAT007000
MATHEMATICS / Differential Equations