TY - BOOK AU - Matsuda,Michihiko TI - First order algebraic differential equations: a differential algebraic approach T2 - Lecture notes in mathematics, SN - 9783540393115 AV - QA3QA247.4 .L28 no. 804 U1 - 510 s512/.56 19 PY - 1980/// CY - Berlin, New York PB - Springer-Verlag KW - Differential algebra KW - Differential-algebraic equations KW - Differential equations KW - Équations différentielles KW - Algèbre différentielle KW - Équations différentielles algébriques KW - Ecuaciones diferenciales KW - embne KW - Álgebra diferencial KW - embucm KW - fast KW - Algebraische Differentialgleichung KW - gnd KW - ram N1 - 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 UR - https://link-springer-com.libraryproxy.ist.ac.at/10.1007/BFb0091495 ER -