Asymptotic Differential Algebra and Model Theory of Transseries
ebook ∣ Annals of Mathematics Studies
By Matthias Aschenbrenner
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This self-contained book validates the intuition that the differential field of transseries is a universal domain for asymptotic differential algebra. It does so by establishing in the realm of transseries a complete elimination theory for systems of algebraic differential equations with asymptotic side conditions.
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