Transseries and Real Differential Algebra - Couverture souple

Van Der Hoeven, Joris

 
9783540355908: Transseries and Real Differential Algebra

Synopsis

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.

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Autres éditions populaires du même titre

9783540825890: Transseries and Real Differential Algebra

Edition présentée

ISBN 10 :  3540825894 ISBN 13 :  9783540825890
Editeur : Springer, 2008
Couverture souple