[课件]【L.A.Bordag】【PDF】【Geometrical Properties of Defferential Equations】

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[课件]【L.A.Bordag】【PDF】【L.A.Bordag】【Geometrical Properties of Defferential Equations】【2008】
Halmstad University大学课件
金融数学专业

目录
1 Groups of transformations
2 The general form of an one-parametric point tranformation in R
3 Group invariants and the infinitesimal generator
4 Invariant curves and families of curves
5 Canonical variables
6 First order ordinary differential equations
7 The prolongation of an one-parametric group of point transformations
8 Differential invariants of n-th order
9 Higher order ordinary differential equations
10 Introduction to Lie algebras
11 The n-th order ordinary differential equation
12 Partial differential equations
13 Example:The heat equation
14 Classification of group-invariant solutions
15 The Black-Scholes equation

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关键词：Defferential Properties Equations GEOMETRIC equation University families ordinary general 大学