Transseries and Real Differential Algebra is popular PDF and ePub book, written by Joris van der Hoeven in 2006-10-31, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Transseries and Real Differential Algebra can be Read Online from any device for your convenience.
Transseries and Real Differential Algebra Book PDF Summary
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 Écalle's proof of Dulac's conjecture, which is closely related to Hilbert's 16th problem. The aim of the present book is to give a detailed and self-contained exposition of the theory of transseries, in the hope of making it more accessible to non-specialists.
Detail Book of Transseries and Real Differential Algebra PDF
- Author : Joris van der Hoeven
- Release : 31 October 2006
- Publisher : Springer
- ISBN : 9783540355915
- Genre : Mathematics
- Total Page : 260 pages
- Language : English
- PDF File Size : 18,6 Mb
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