Solution of Ordinary Differential Equations by Continuous Groups
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A01=George Emanuel
advanced calculus
Author_George Emanuel
Canonical Coordinates
Category=PBW
Characteristic Curve
Commutative Group
Compendium
Continuous Group
continuous group techniques for ODEs
Counterclockwise
Curve Invariance
Differential Invariant
engineering applications
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Equation Number
Finding the Groups
Fourth Order Ode
Global Group Equations
graduate level mathematics
group theory methods
High Order Ode
High Order ODEs
Independent Groups
Infinitesimal Transformation
Integration Constant
Invariance
Invariance and Canonical Coordinates
Invariant Equations
Invariant Function
Lie Algebras
Lie Series
Linear Ode
mathematical physics
Nonlinear ODEs
ODEs
Ordinary Differential Equations
Overdetermined System
Rotation Group
Sturm Liouville Equation
symmetry analysis
Translation Parallel
Vice Versa
Product details
- ISBN 9780367397876
- Weight: 453g
- Dimensions: 156 x 234mm
- Publication Date: 19 Sep 2019
- Publisher: Taylor & Francis Ltd
- Publication City/Country: GB
- Product Form: Paperback
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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.
Emanuel, George
