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Introduction to Symmetry Analysis
with CD-ROM

$279.99

Part of Cambridge Texts in Applied Mathematics

  • Date Published: September 2002
  • availability: In stock
  • format: Mixed media product
  • isbn: 9780521771832

$279.99
Mixed media product

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  • This text offers a broad, self-contained, introduction to the basic concepts of symmetry analysis and is intended primarily for first and second year graduate students in science, engineering and applied mathematics. Mathematica-based software for finding the Lie point symmetries and Lie-Bäcklund symmetries of differential equations is included on a CD along with more than forty sample notebooks illustrating applications ranging from simple, low order, ordinary differential equations to complex systems of partial differential equations. The software requires Mathematica 2.2 or higher. MathReader 4.0 is included to permit the user without access to Mathematica to read the sample notebooks and follow the procedure used to find symmetries.

    • Introduces symmetry analysis within an engineering framework
    • Includes ready-to-use software
    • Includes many exercises and examples
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    Product details

    • Date Published: September 2002
    • format: Mixed media product
    • isbn: 9780521771832
    • length: 654 pages
    • dimensions: 236 x 157 x 38 mm
    • weight: 1.045kg
    • contains: 112 b/w illus. 2 colour illus. 20 tables 131 exercises
    • availability: In stock
  • Table of Contents

    Preface
    1. Introduction to symmetry
    2. Dimensional analysis
    3. Systems of ODE's, first order PDE's, state-space analysis
    4. Classical dynamics
    5. Introduction to one-parameter Lie groups
    6. First order ordinary differential equations
    7. Differential functions and notation
    8. Ordinary differential equations
    9. Partial differential equations
    10. Laminar boundary layers
    11. Incompressible flow
    12. Compressible flow
    13. Similarity rules for turbulent shear flows
    14. Lie-Bäcklund transformations
    15. Invariance condition for integrals, variational symmetries
    16. Bäcklund transformations and non-local groups
    Appendix 1. Review of calculus and the theory of contact
    Appendix 2. Invariance of the contact conditions under Lie point transformation groups
    Appendix 3. Infinite-order structure of Lie-Bäcklund transformations
    Appendix 4. Symmetry analysis software.

  • Author

    Brian J. Cantwell, Stanford University, California

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