First Order Algebraic Differential Equations: A Differential Algebraic Approach / Edition 1

First Order Algebraic Differential Equations: A Differential Algebraic Approach / Edition 1

by M. Matsuda
     
 

ISBN-10: 3540099972

ISBN-13: 9783540099970

Pub. Date: 06/20/1980

Publisher: Springer Berlin Heidelberg

Product Details

ISBN-13:
9783540099970
Publisher:
Springer Berlin Heidelberg
Publication date:
06/20/1980
Series:
Lecture Notes in Mathematics Series, #804
Edition description:
1980
Pages:
111
Product dimensions:
6.14(w) x 9.21(h) x 0.25(d)

Table of Contents

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.

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