LEADER 00000cam 2200541Ki 4500 001 ocn774401187 003 OCoLC 005 20160518075247.7 006 m o d 007 cr cnu---unuuu 008 120130s2002 enka ob 001 0 eng d 019 646834532 020 9781139129060|q(electronic bk.) 020 1139129066|q(electronic bk.) 035 (OCoLC)774401187|z(OCoLC)646834532 040 N$T|beng|epn|erda|cN$T|dOCLCQ|dDEBSZ|dYDXCP|dE7B|dOCLCF |dOCLCQ 049 GTKE 050 4 QA371|b.C195 2002eb 082 04 515/.35|222 100 1 Cantwell, Brian. 245 10 Introduction to symmetry analysis /|cBrian J. Cantwell. 264 1 Cambridge, UK ;|aNew York :|bCambridge University Press, |c2002. 300 1 online resource (xli, 612 pages) :|billustrations. 336 text|btxt|2rdacontent 337 computer|bc|2rdamedia 338 online resource|bcr|2rdacarrier 490 1 Cambridge texts in applied mathematics 500 Some online versions lack accompanying media packaged with the printed version. 504 Includes bibliographical references and index. 505 00 |tHistorical Preface --|tRise of the Academies --|tAbel and Galois --|tLie and Klein --|t1870 --|tLie's Arrest -- |tGauss, Riemann, and the New Geometry --|tThe Erlangen Program --|tLie's Career at Leipzig --|tA Falling Out -- |tLie's Final Return to Norway --|tAfter 1900 --|tThe Ariadne Thread --|tSymmetry in Nature --|tSome Background --|tThe Discrete Symmetries of Objects --|tThe Principle of Covariance --|tContinuous Symmetries of Functions and Differential Equations --|tSome Notation Conventions -- |tDimensional Analysis --|tThe Two-Body Problem in a Gravitational Field --|tThe Drag on a Sphere --|tThe Drag on a Sphere in High-Speed Gas Flow --|tBuckingham's Pi Theorem--The Dimensional-Analysis Algorithm --|tSystems of ODEs and First-Order PDEs; State-Space Analysis -- |tAutonomous Systems of ODEs in the Plane -- |tCharacteristics --|tFirst-Order Ordinary Differential Equations --|tThermodynamics; The Legendre Transformation --|tIncompressible Flow in Two Dimensions --|tFluid Flow in Three Dimensions--The Dual Stream Function -- |tNonlinear First-Order PDEs--The Method of Lagrange and Charpit --|tCharacteristics in n Dimensions --|tState- Space Analysis in Two and Three Dimensions --|tClassical Dynamics --|tHamilton's Principle --|tHamilton's Equations --|tThe Hamilton--Jacobi Equation --|tIntroduction to One- Parameter Lie Groups --|tThe Symmetry of Functions --|tAn Example and a Counterexample --|tOne-Parameter Lie Groups --|tInvariant Functions --|tInfinitesimal Form of a Lie Group. 546 English. 588 0 Print version record. 650 0 Differential equations|xNumerical solutions. 650 0 Lie groups. 650 0 Symmetry (Physics) 650 7 MATHEMATICS|xDifferential Equations|xGeneral.|2bisacsh 650 7 Differential equations|xNumerical solutions.|2fast |0(OCoLC)fst00893451 650 7 Symmetry (Physics)|2fast|0(OCoLC)fst01140819 650 07 Differentialgleichung.|2swd 650 07 Numerisches Verfahren.|2swd 650 07 Symmetrie.|2swd 655 0 CD-ROMs. 776 08 |iPrint version:|aCantwell, Brian.|tIntroduction to symmetry analysis.|dCambridge, UK ; New York : Cambridge University Press, 2002|z0521771838|w(DLC) 2001037835 |w(OCoLC)47243864 830 0 Cambridge texts in applied mathematics. 914 ocn774401187 994 93|bGTK
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