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Book Cover
Author Cantwell, Brian.

Title Introduction to symmetry analysis / Brian J. Cantwell.

Publication Info. Cambridge, UK ; New York : Cambridge University Press, 2002.


Location Call No. Status
 Rocky Hill - Downloadable Materials  EBSCO Ebook    Downloadable
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Description 1 online resource (xli, 612 pages) : illustrations.
Series Cambridge texts in applied mathematics
Cambridge texts in applied mathematics.
Note Some online versions lack accompanying media packaged with the printed version.
Bibliography Includes bibliographical references and index.
Contents Historical Preface -- Rise of the Academies -- Abel and Galois -- Lie and Klein -- 1870 -- Lie's Arrest -- Gauss, Riemann, and the New Geometry -- The Erlangen Program -- Lie's Career at Leipzig -- A Falling Out -- Lie's Final Return to Norway -- After 1900 -- The Ariadne Thread -- Symmetry in Nature -- Some Background -- The Discrete Symmetries of Objects -- The Principle of Covariance -- Continuous Symmetries of Functions and Differential Equations -- Some Notation Conventions -- Dimensional Analysis -- The Two-Body Problem in a Gravitational Field -- The Drag on a Sphere -- The Drag on a Sphere in High-Speed Gas Flow -- Buckingham's Pi Theorem--The Dimensional-Analysis Algorithm -- Systems of ODEs and First-Order PDEs; State-Space Analysis -- Autonomous Systems of ODEs in the Plane -- Characteristics -- First-Order Ordinary Differential Equations -- Thermodynamics; The Legendre Transformation -- Incompressible Flow in Two Dimensions -- Fluid Flow in Three Dimensions--The Dual Stream Function -- Nonlinear First-Order PDEs--The Method of Lagrange and Charpit -- Characteristics in n Dimensions -- State-Space Analysis in Two and Three Dimensions -- Classical Dynamics -- Hamilton's Principle -- Hamilton's Equations -- The Hamilton--Jacobi Equation -- Introduction to One-Parameter Lie Groups -- The Symmetry of Functions -- An Example and a Counterexample -- One-Parameter Lie Groups -- Invariant Functions -- Infinitesimal Form of a Lie Group.
Note Print version record.
Language English.
Subject Differential equations -- Numerical solutions.
Lie groups.
Symmetry (Physics)
MATHEMATICS -- Differential Equations -- General.
Differential equations -- Numerical solutions. (OCoLC)fst00893451
Symmetry (Physics) (OCoLC)fst01140819
Numerisches Verfahren.
Genre/Form CD-ROMs.
Other Form: Print version: Cantwell, Brian. Introduction to symmetry analysis. Cambridge, UK ; New York : Cambridge University Press, 2002 0521771838 (DLC) 2001037835 (OCoLC)47243864
ISBN 9781139129060 (electronic bk.)
1139129066 (electronic bk.)
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