Introduction to symmetry analysis /
| Основен автор: | Cantwell, Brian. |
|---|---|
| Формат: | Електронна книга |
| Език: | English |
| Публикувано: |
Cambridge, UK ; New York :
Cambridge University Press,
2002.
|
| Серия: |
Cambridge texts in applied mathematics.
|
| Предмети: | |
| Онлайн достъп: |
http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=400674 |
| Подобни документи: |
Print version::
Introduction to symmetry analysis. |
Съдържание:
- 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.