Theory of differential equations / Volume IV, Ordinary equations, not linear. Volume V, Partial differential equations. Volume VI, Partial differential equations
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.
Print Book, English, 2011
1st paperback ed., [repr.] View all formats and editions
Cambridge University Press, Cambridge, 2011
6 v.
9781107650244, 9781107640252, 9781107630123, 9781107696815, 9781107660144, 9781107692749, 1107650240, 1107640253, 1107630126, 110769681X, 1107660149, 1107692741
808339578
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.
Cambridge : at the University Press, 1890-1906