First order algebraic differential equations : a differential algebraic approach

Bibliographic Information

First order algebraic differential equations : a differential algebraic approach

Michihiko Matsuda

(Lecture notes in mathematics, 804)

Springer-Verlag, 1980

  • : Berlin
  • : New York

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Note

Bibliography: p. [110]

Includes index

Description and Table of Contents

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.- Poincare fields.- Analogs of addition formulae for elliptic functions.- Poincare fields generated by the constants.- Poincare fields of characteristic 0.- Automorphisms of an elliptic field.- Differential automorphisms.- Differential automorphisms of a Poincare 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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Details

  • NCID
    BA04010258
  • ISBN
    • 3540099972
    • 0387099972
  • LCCN
    82134486
  • Country Code
    gw
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Berlin ; New York
  • Pages/Volumes
    iv, 109, [2] p.
  • Size
    25 cm
  • Classification
  • Subject Headings
  • Parent Bibliography ID
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