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 Ecalle'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.
"
General
Imprint: |
Springer-Verlag
|
Country of origin: |
Germany |
Series: |
Lecture Notes in Mathematics, 1888 |
Release date: |
September 2006 |
First published: |
2006 |
Authors: |
Joris van der Hoeven
|
Dimensions: |
235 x 155 x 14mm (L x W x T) |
Format: |
Paperback
|
Pages: |
260 |
Edition: |
2006 ed. |
ISBN-13: |
978-3-540-35590-8 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Algebra >
General
|
LSN: |
3-540-35590-1 |
Barcode: |
9783540355908 |
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