First Order Algebraic Differential Equations [electronic resource] : A Differential Algebraic Approach / edited by Michihiko Matsuda.

Contributor(s):

Material type: Text

TextSeries: Lecture Notes in Mathematics ; 804Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1980Description: VI, 111 p. online resourceContent type:

text

Media type:

computer

Carrier type:

online resource

ISBN:

9783540393115

Subject(s):

Additional physical formats: Printed edition:: No title; Printed edition:: No titleDDC classification:

515 23

LOC classification:

QA299.6-433

Online resources:

Click here to access online

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.

In: Springer eBooks

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