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Solution of Ordinary Differential Equations by Continuous Groups

George Emanuel

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Paperback

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English
Chapman & Hall/CRC
19 September 2019
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.

By:  
Imprint:   Chapman & Hall/CRC
Country of Publication:   United Kingdom
Dimensions:   Height: 234mm,  Width: 156mm, 
Weight:   453g
ISBN:   9780367397876
ISBN 10:   0367397870
Pages:   232
Publication Date:  
Audience:   Professional and scholarly ,  Undergraduate
Format:   Paperback
Publisher's Status:   Active
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.

Emanuel, George

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