Theory of Differential Equations, Part IV, Volume V: Partial Differential Equations - Brossura

Forsyth, Andrew Russell

 
9781107660144: Theory of Differential Equations, Part IV, Volume V: Partial Differential Equations

Sinossi

The fifth of six volumes in Andrew Russell Forsyth's Theory of Differential Equations series, concentrating specifically on partial differential equations.

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Descrizione del libro

Originally published in 1906, this book constitutes the fifth of six volumes in Scottish mathematician Andrew Russell Forsyth's Theory of Differential Equations series, concentrating specifically on partial differential equations. The text contains detailed information on the development of this area and substantial contributions made to it.

Contenuti

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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