Description
Solution of Ordinary Differential Equations by Continuous Groups
Author: Emanuel George
Language: EnglishSubjects for Solution of Ordinary Differential Equations by...:
Keywords
Ordinary Differential Equations; Sturm Liouville Equation; Canonical Coordinates; High Order ODEs; Vice Versa; Infinitesimal Transformation; Counterclockwise; Rotation Group; Lie Series; Integration Constant; Differential Invariant; Nonlinear ODEs; Linear Ode; Fourth Order Ode; High Order Ode; Translation Parallel; Overdetermined System; Curve Invariance; Characteristic Curve; Commutative Group; Equation Number; Lie Algebras; Continuous Group; Independent Groups; Invariant Function
Publication date: 09-2019
· 15.6x23.4 cm · Paperback
Approximative price 208.65 €
Subject to availability at the publisher.
Add to cart the book of Emanuel GeorgePublication date: 11-2000
224 p. · 15.6x23.4 cm · Hardback
Description
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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.