Transseries and real differential algebra
Joris van der Hoeven (auth.)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.
カテゴリー:
年:
2006
版:
1
出版社:
Springer-Verlag Berlin Heidelberg
言語:
english
ページ:
260
ISBN 10:
3540355901
ISBN 13:
9783540355908
シリーズ:
Lecture Notes in Mathematics 1888
ファイル:
PDF, 3.99 MB
IPFS:
,
english, 2006
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