Continuous Symmetries, Lie Algebras, Differential Equations and Computer Algebra pdf

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Continuous Symmetries, Lie Algebras, Differential Equations and Computer Algebra by Willi Hans Steeb 2nd edition pdf download

Continuous Symmetries, Lie Algebras, Differential Equations and Computer Algebra by Willi Hans Steeb 2nd edition pdf download. The purpose of this book is to provide a comprehensive introduction to the application of continuous symmetries and their Lie algebras to ordinary and partial differential equations. The study of symmetries of differential equations provides important information about the behaviour of differential equations.

Continuous Symmetries, Lie Algebras, Differential Equations and Computer Algebra by Willi Hans Steeb 2nd edition pdf download

The symmetries can be used to find exact solutions. They can be applied to verify and develop numerical schemes. One can also obtain conservation laws of a given differential equation with the help of the continuous symmetries. Gauge theory is also based on the continuous symmetries of certain relativistic field equations.
Apart from the standard techniques in the study of continuous symmetrie, the book includes: the Painlev´e test and symmetries, invertible point transformation and symmetries, Lie algebra valued differential forms, gauge theory, Yang-Mills theory and chaos, self-dual Yang-Mills equation and soliton equations, Ba¨cklund transformation, Lax representation, Bose operators and symmetries, Hirota technique, Sato’s theory, discrete systems and invariants and string theory.
Each chapter includes computer algebra applications. Examples are the finding of the determining equation for the Lie symmetries, finding the curvature for a given metric tensor field and calculating the Killing vector fields for a metric tensor field. Each chapter also includes exercises.
Continuous Symmetries, Lie Algebras , Differential Equations and Computer Algebra by Willi Hans Steeb 2nd edition pdf download

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