Asymptotic Differential Algebra and Model Theory of Transseries

by Joris Van der Hoeven, Matthias Aschenbrenner, Lou Van Den Dries, et al.

Book Overview

Asymptotic differential algebra seeks to understand the solutions of differential equations and their asymptotics from an algebraic point of view. The differential field of transseries plays a central role in the subject. Besides powers of the variable, these series may contain exponential and logarithmic terms. Over the last thirty years, transseries emerged variously as super-exact asymptotic expansions of return maps of analytic vector fields,...

• Format: Paperback
• Language: English
• ISBN: 0691175438
• ISBN13: 9780691175430
• Release Date: June 2017
• Publisher: Princeton University Press
• Length: 880 Pages
• Weight: 2.73 lbs.
• Dimensions: 1.8" x 6.0" x 9.2"