The fifth of six volumes in Andrew Russell Forsyth's Theory of Differential Equations series, concentrating specifically on partial differential equations.
The fifth of six volumes in Andrew Russell Forsyth's Theory of Differential Equations series, concentrating specifically on partial differential equations.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
1. Introduction: two existence-theorems 2. Cauchy's theorem 3. Linear equations and complete linear systems 4. Non-linear equations: Jacobi's second method, with Mayer's developments 5. Classes of integrals possessed by equations of the first order: generalisation of integrals 6. The method of characteristics for equations in two independent variables: geometrical relations of the various integrals 7. Singular integrals and their geometrical properties: singularities of the characteristics 8. The method of characteristics in any number of independent variables 9. Lie's methods applied to equations of the first order 10. The equations of theoretical dynamics 11. Simultaneous equations of the first order.
1. Introduction: two existence-theorems 2. Cauchy's theorem 3. Linear equations and complete linear systems 4. Non-linear equations: Jacobi's second method, with Mayer's developments 5. Classes of integrals possessed by equations of the first order: generalisation of integrals 6. The method of characteristics for equations in two independent variables: geometrical relations of the various integrals 7. Singular integrals and their geometrical properties: singularities of the characteristics 8. The method of characteristics in any number of independent variables 9. Lie's methods applied to equations of the first order 10. The equations of theoretical dynamics 11. Simultaneous equations of the first order.
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