Theory of Differential Equations, Part II, Volume II: Ordinary Equations, not Linear: Volume 2 - Brossura

Forsyth, Andrew Russell

Brossura

ISBN 10: 1107640253 ISBN 13: 9781107640252

Casa editrice: Cambridge University Press, 2012

Riassunto

The second of six volumes in Forsyth's Theory of Differential Equations series, concentrating on ordinary equations which are not linear.

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Descrizione del libro

Originally published in 1900, this book constitutes the second of six volumes in Scottish mathematician Andrew Russell Forsyth's Theory of Differential Equations series, concentrating specifically on ordinary equations which are not linear. The text contains detailed information on the development of this area and substantial contributions made to it.

Contenuti

1. Introductory; 2. Cauchy's theorem on the existence of regular integrals of a system of equations; 3. Classes of non-ordinary points connected with the form of the equation of the first order and first degree in the derivative; 4. Influence, upon the integral, of an accidental singularity of the first kind possessed by the equation; 5. Reduction of the differential equation to final typical forms, valid in the vicinity of an accidental singularity of the second kind; 6. The character of the integrals possessed by the respective reduced forms of the original equation in the vicinity of the accidental singularity of the second kind; 7. Effect, upon the integral, of essential singularities of the equation; 8. Branch-points of an equation of the first order and any degree, as determined by the equation: singular and particular solutions; 9. Differential equations of the first order having their integrals free from parametric branch-points; 10. Equations of first order with uniform integrals, and with algebraical integrals.

Dettagli dell?edizione

• Editore: Cambridge University Press
• Data di pubblicazione: 2012
• Lingua: Inglese
• ISBN 10: 1107640253
• ISBN 13: 9781107640252
• Rilegatura: Copertina flessibile
• Numero di pagine: 356
• Contatto del produttore: non disponibile