First order algebraic differential equations : a differential algebraic approach / M. Matsuda.

Author
Matsuda, M. [Browse]
Format
Book
Language
English
Εdition
1st ed. 1980.
Published/​Created
  • Berlin, Heidelberg : Springer-Verlag, [1980]
  • ©1980
Description
1 online resource (VI, 111 p.)

Details

Subject(s)
Series
  • Lecture notes in mathematics (Berlin) ; Volume 804. [More in this series]
  • Lecture Notes in Mathematics ; Volume 804
Notes
Bibliographic Level Mode of Issuance: Monograph
Source of description
Description based on print version record.
Language note
English
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.
ISBN
3-540-39311-0
OCLC
  • 1066177848
  • 1287132536
Doi
  • 10.1007/BFb0091495
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