First order algebraic differential equations : a differential algebraic approach /
Matsuda, Michihiko, 1938-
First order algebraic differential equations : a differential algebraic approach / Michihiko Matsuda. - Berlin ; New York : Springer-Verlag, 1980. - 1 online resource (iv, 109, [2] pages) - Lecture notes in mathematics, 804 0075-8434 ; . - Lecture notes in mathematics (Springer-Verlag) ; 804. .
Includes bibliographical references (page 110) and index.
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.
9783540393115 3540393110
Differential algebra.
Differential-algebraic equations.
Differential equations.
Équations différentielles.
Algèbre différentielle.
Équations différentielles algébriques.
Ecuaciones diferenciales
Álgebra diferencial
Differential equations
Differential algebra
Differential-algebraic equations
Algebraische Differentialgleichung
Algèbre différentielle.
QA3 QA247.4 / .L28 no. 804
510 s 512/.56
First order algebraic differential equations : a differential algebraic approach / Michihiko Matsuda. - Berlin ; New York : Springer-Verlag, 1980. - 1 online resource (iv, 109, [2] pages) - Lecture notes in mathematics, 804 0075-8434 ; . - Lecture notes in mathematics (Springer-Verlag) ; 804. .
Includes bibliographical references (page 110) and index.
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.
9783540393115 3540393110
Differential algebra.
Differential-algebraic equations.
Differential equations.
Équations différentielles.
Algèbre différentielle.
Équations différentielles algébriques.
Ecuaciones diferenciales
Álgebra diferencial
Differential equations
Differential algebra
Differential-algebraic equations
Algebraische Differentialgleichung
Algèbre différentielle.
QA3 QA247.4 / .L28 no. 804
510 s 512/.56