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25 Remote Warehouse Mathematics- Differential Equations

Applied Mathematical Sciences #81: Symmetry and Integration Methods for Differential Equations

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Applied Mathematical Sciences #81: 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.

Table of Contents

Preface.- Introduction.- Dimensional Analysis, Modelling, and Invariance.- Lie Groups of Transformations and Infinitesimal Transformations.- Ordinary Differential Equations.- Partial Differential Equations.- Noether's Theorem and Lie-B cklund Symmetries.- Construction of Mappings Relating Differential Equations.- Potential Symmetries.- References.- Author Index.- Subject Index.

Product Details

ISBN:
9780387986548
Author:
Bluman, George W.
Author:
Anco, Stephen
Author:
Bluman, George
Author:
Bluman, G
Author:
eorge
Publisher:
Springer
Location:
New York, NY
Subject:
General
Subject:
Differential Equations
Subject:
Differential equations, partial
Subject:
Lie groups
Subject:
âEquations diffâerentielles
Subject:
Lie, Groupes de
Subject:
Equations aux dâerivâees partielles
Subject:
Differential equations -- Numerical solutions.
Subject:
Mathematics-Differential Equations
Subject:
Applied
Subject:
Symmetry Methods
Subject:
APPLICATIONS OF MATHEMATICS
Subject:
Theoretical, Mathematical and Computational Physics
Subject:
Analysis
Subject:
Mathematics
Subject:
Language, literature and biography
Subject:
mathematics and statistics
Subject:
Global analysis (Mathematics)
Copyright:
Edition Number:
2
Edition Description:
2nd ed. 2002
Series:
Applied Mathematical Sciences
Series Volume:
81
Publication Date:
20020731
Binding:
HARDCOVER
Language:
English
Illustrations:
Yes
Pages:
432
Dimensions:
235 x 155 mm 1730 gr

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Related Subjects

Health and Self-Help » Health and Medicine » General
Health and Self-Help » Health and Medicine » General Medicine
Science and Mathematics » Mathematics » Differential Equations
Science and Mathematics » Mathematics » Probability and Statistics » General
Science and Mathematics » Mathematics » Probability and Statistics » Statistics

Applied Mathematical Sciences #81: Symmetry and Integration Methods for Differential Equations New Hardcover
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$209.75 In Stock
Product details 432 pages Springer-Verlag - English 9780387986548 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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