Joris van der Hoeven
Transseries and Real Differential Algebra
Paperback Engels 2006 2006e druk 9783540355908Levertijd ± 9 werkdagen
Gratis verzonden
Samenvatting
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.
Specificaties
ISBN13:9783540355908
Taal:Engels
Bindwijze:Paperback
Aantal pagina's:260
Uitgever:Springer Berlin Heidelberg
Druk:2006
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