First Order Algebraic Differential Equations: A Differential Algebraic Approach (Lecture Notes in Mathematics, 804, Band 804) - Softcover

Matsuda, Michihiko

 
9783540099970: First Order Algebraic Differential Equations: A Differential Algebraic Approach (Lecture Notes in Mathematics, 804, Band 804)

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.

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9780387099972: First Order Algebraic Differential Equations: A Differential Algebraic Approach (Lecture Notes in Mathematics, Vol. 804)

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ISBN 10:  0387099972 ISBN 13:  9780387099972
Softcover