First Order Algebraic Differential Equations : A Differential Algebraic Approach

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Dades bibliogràfiques
Autor principal: Matsuda, Michihiko, 1938-
Format: Livre numérique
Idioma:Anglais
Publicat: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Col·lecció:Lecture notes in mathematics 804
Matèries:
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Nota: Archives Springer e-books (Licence nationale)
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Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• First order algebraic differential equations, a differential algebraic approach, Michihiko Matsuda, 1980, Berlin [etc.], Springer-Verlag, 1 vol. (IV-109-[2] p.), Lecture notes in mathematics, 0-387-09997-2
• First Order Algebraic Differential Equations, Texte imprimé, 9783662208809
Taula de continguts:
  • 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.