| Description |
1 online resource (xli, 612 pages) : illustrations. |
| Physical Medium |
polychrome |
| Description |
text file |
| 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 -- Erlangen Program -- Lie's Career at Leipzig -- A Falling Out -- Lie's Final Return to Norway -- After 1900 -- Ariadne Thread -- Symmetry in Nature -- Some Background -- Discrete Symmetries of Objects -- Principle of Covariance -- Continuous Symmetries of Functions and Differential Equations -- Some Notation Conventions -- Dimensional Analysis -- Two-Body Problem in a Gravitational Field -- Drag on a Sphere -- 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 -- Hamilton--Jacobi Equation -- Introduction to One-Parameter Lie Groups -- Symmetry of Functions -- An Example and a Counterexample -- One-Parameter Lie Groups -- Invariant Functions -- Infinitesimal Form of a Lie Group. |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Language |
English. |
| Subject |
Differential equations -- Numerical solutions.
|
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Differential equations -- Numerical solutions. |
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Lie groups.
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Lie groups. |
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Symmetry (Physics)
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Symmetry (Physics) |
| Genre/Form |
CD-ROMs.
|
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Electronic books.
|
| 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 book) |
|
1139129066 (electronic book) |
|
0521771838 |
|
9780521771832 |
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0521777402 |
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9780521777407 |
|
