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Symmetry Analysis of Differential Equations with Mathematica
Gerd Baumann, 2000, Springer-Verlag, 521 pages, hardbound, CD-ROM.
Symmetry Analysis of Differential Equations with Mathematica provides a comprehensive introduction to the applications of symmetry analysis to differential equations. These applications, which emerged from discoveries by Sophus Lie, can be used to find exact solutions and to verify and develop numerical schemes.
The book includes both theoretical considerations and practical applications of use to physicists, chemists, mathematicians, and engineers. The CD-ROM contains Mathematica programs and examples. Chapters include: Elements of Symmetry Analysis; Derivatives; Symmetries of Ordinary Differential Equations; Point Symmetries of Partial Differential Equations; Non-Classical Symmetries of Partial Differential Equations; Potential Symmetries of Partial Differential Equations; Approximate Symmetries of Partial Differential Equations; Generalized Symmetries; Solution of Coupled Linear Partial Differential Equations.
This book is available from The Mathematica Bookstore.