First Order Algebraic Differential Equations

A Differential Algebraic Approach

von M. Matsuda

120 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

Differential algebraic function field of one variable.- Movable singularities.- Fuchs' theorem.- Extensions of the coefficient field.- Briot-Bouquet's theorem.- Clairaut fields.- Poincaré fields.- Analogs of addition formulae for elliptic functions.- Poincaré fields generated by the constants.- Poincaré fields of characteristic 0.- Automorphisms of an elliptic field.- Differential automorphisms.- Differential automorphisms of a Poincaré field.- Riccati fields of characteristic 0.- Weierstrass points.- Clairaut fields of characteristic 0.- Movable singularities in case of characteristic 0.- Differential Lefschetz principle.

• Reihe: Lecture Notes in Mathematics
• Themen: Mathematik und Naturwissenschaften Mathematik Mathematische Analysis, allgemein
• ISBN: 9783540099970
• Sprache: Englisch
• Erscheinungsdatum: 01.05.1980
• Größe: 235 x 155 mm
• Verlag: Springer