TY - BOOK AU - Matsuda,Michihiko ED - SpringerLink (Online service) TI - First Order Algebraic Differential Equations: A Differential Algebraic Approach T2 - Lecture Notes in Mathematics, SN - 9783540393115 AV - QA299.6-433 U1 - 515 23 PY - 1980/// CY - Berlin, Heidelberg PB - Springer Berlin Heidelberg KW - Mathematics KW - Global analysis (Mathematics) KW - Analysis N1 - 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 - http://dx.doi.org/10.1007/BFb0091495 ER -