Transseries and Real Differential Algebra
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Transseries are formal objects constructed from an infinitely large variable x and the reals using infinite summation, exponentiation and logarithm. They are suitable for modeling "strongly monotonic" or "tame" asymptotic solutions to differential equations and find their origin in at least three different areas of mathematics: analysis, model theory and computer algebra. They play a crucial role in ?calle's proof of Dulac's conjecture, which is...
Format:Paperback
Language:English
ISBN:3540355901
ISBN13:9783540355908
Release Date:September 2006
Publisher:Springer
Length:260 Pages
Weight:0.90 lbs.
Dimensions:0.6" x 6.3" x 9.3"
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