Transseries and Real Differential Algebra

by Joris Van der Hoeven

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"