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Springer Symmetry and Integration Methods for Differential Equations (AMS 154)

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Description

This comprehensive text by Springer introduces Lie groups of transformations and fundamental symmetry methods for solving ordinary and partial differential equations. The book emphasises explicit computational algorithms that enable readers to discover symmetries within differential equations and construct solutions derived from those symmetries. The new edition expands coverage to include contact transformations, Lie-Backlund transformations, and adjoints and integrating factors applicable to ODEs of arbitrary order. Written as an accessible introduction to symmetry-based methods, this volume combines theoretical foundations with practical problem-solving techniques essential for advanced mathematics and applied sciences.

Key Features

Covers Lie groups of transformations and symmetry methods for solving both ordinary and partial differential equations.

Provides explicit computational algorithms to discover symmetries within differential equations systematically.

New edition includes contact transformations and Lie-Backlund transformations for advanced equation analysis.

Presents adjoints and integrating factors techniques applicable to ODEs of arbitrary order.

Part of the Applied Mathematical Sciences series (Volume 154) from Springer, a trusted publisher in mathematics.

Product Specifications

Format
paperback
Domain
Amazon UK
Publication Date
06 December 2010
Listed Since
20 June 2010

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