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Springer Symmetry and Integration Methods for Differential Equations

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Description

Master the complexities of differential equations with this specialized text from the Applied Mathematical Sciences series. This book provides a deep look into Lie groups of transformations and the fundamental symmetry methods used to solve both ordinary and partial differential equations. Designed for students and researchers, the text focuses on explicit computational algorithms. These tools allow users to discover symmetries admitted by differential equations and build solutions directly from those symmetries. This edition provides updated coverage on essential topics including contact transformations, Lie-Bcklund transformations, and adjoints. It also covers integrating factors for ODEs of arbitrary order. Whether you are studying advanced mathematics or applying these methods to scientific research, this volume serves as a practical guide to symmetry-based methods. The structured approach helps readers move from theoretical concepts to practical, algorithmic applications in mathematical problem-solving.

Key Features

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

Utilize explicit computational algorithms to discover symmetries and construct solutions for complex equations.

Study updated material on contact transformations and Lie-Bcklund transformations.

Gain knowledge on adjoints and integrating factors specifically for ODEs of arbitrary order.

Part of the Applied Mathematical Sciences series (154) published by Springer.

Product Specifications

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

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