M. Matsuda

First Order Algebraic Differential Equations

A Differential Algebraic Approach

• Broschiertes Buch

Produktbeschreibung

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

Produktdetails

• Lecture Notes in Mathematics 804
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-09997-0
• 1980.
• Seitenzahl: 120
• Erscheinungstermin: 1. Mai 1980
• Englisch
• Abmessung: 235mm x 155mm x 7mm
• Gewicht: 266g
• ISBN-13: 9783540099970
• ISBN-10: 3540099972
• Artikelnr.: 23575216

Inhaltsangabe

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.