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

Contributor(s): Matsuda, Michihiko [editor.] | SpringerLink (Online service)Material type: TextTextSeries: Lecture Notes in Mathematics ; 804Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 1980Description: VI, 111 p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783540393115Subject(s): Mathematics | Global analysis (Mathematics) | Mathematics | AnalysisAdditional physical formats: Printed edition:: No titleDDC classification: 515 LOC classification: QA299.6-433Online 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
Item type: E-BOOKS
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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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