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Symmetry and Integration Methods for Differential Equations

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Symmetry and Integration Methods for Differential Equations Cover

 

Synopses & Reviews

Publisher Comments:

This book provides a comprehensive treatment of symmetry methods and dimensional analysis. The authors discuss aspects of Lie groups of point transformations, contact symmetries, and higher order symmetries that are essential for solving differential equations. Emphasis is given to an algorithmic, computational approach to finding integrating factors and first integrals. Numerous examples including ordinary differential equations arising in applied mathematics are used for illustration and exercise sets are included throughout the text. This book is designed for advanced undergraduate or beginning graduate students of mathematics and physics, as well as researchers in mathematics, physics, and engineering.

Synopsis:

This text discusses Lie groups of transformations and basic symmetry methods for solving ordinary and partial differential equations. It places emphasis on explicit computational algorithms to discover symmetries admitted by differential equations and to construct solutions resulting from symmetries. This new edition covers contact transformations, Lie-B cklund transformations, and adjoints and integrating factors for ODEs of arbitrary order.

Product Details

ISBN:
3330000217397
Publisher:
Springer
Subject:
Differential Equations
Author:
Anco, Stephen C.
Author:
Bluman, George W.
Subject:
Differential equations, partial
Subject:
General
Subject:
Lie groups
Subject:
âEquations diffâerentielles
Subject:
Equations aux dâerivâees partielles
Subject:
Lie, Groupes de
Subject:
Differential equations -- Numerical solutions.
Subject:
Mathematics-Differential Equations
Subject:
main_subject
Subject:
all_subjects
Publication Date:
2002
Binding:
ELECTRONIC
Language:
English
Pages:
419

Related Subjects

Health and Self-Help » Health and Medicine » General
Science and Mathematics » Mathematics » Analysis General
Science and Mathematics » Mathematics » Applied
Science and Mathematics » Mathematics » Differential Equations
Science and Mathematics » Mathematics » General
Science and Mathematics » Mathematics » Group Theory
Science and Mathematics » Physics » Math

Symmetry and Integration Methods for Differential Equations
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Product details 419 pages Springer - English 3330000217397 Reviews:
"Synopsis" by , This text discusses Lie groups of transformations and basic symmetry methods for solving ordinary and partial differential equations. It places emphasis on explicit computational algorithms to discover symmetries admitted by differential equations and to construct solutions resulting from symmetries. This new edition covers contact transformations, Lie-B cklund transformations, and adjoints and integrating factors for ODEs of arbitrary order.
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