Matthias Aschenbrenner, Lou van den Dries, Joris van der Hoeven
Abstract
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We develop here the algebra of the differential field of transseries and of related valued differential fields. This book contains in particular our recently obtained decisive positive results on the model theory of these structures.
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We develop here the algebra of the differential field of transseries and of related valued differential fields. This book contains in particular our recently obtained decisive positive results on the model theory of these structures.
Key concepts: Differential algebra, Differential (mechanical device), Algebra over a field, Algebraic differential equation, Mathematics, Field (mathematics), Physics, Differential equation