Transseries and Real Differential Algebra (Lecture Notes in Mathematics, 1888, Band 1888) - Softcover

Van Der Hoeven, Joris

 
9783540355908: Transseries and Real Differential Algebra (Lecture Notes in Mathematics, 1888, Band 1888)
Softcover
ISBN 10: 3540355901 ISBN 13: 9783540355908
Verlag: Springer Berlin Heidelberg, 2010

Inhaltsangabe

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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Verlag
Springer Berlin Heidelberg
Erscheinungsdatum
2010
Sprache
Englisch
ISBN 10 
3540355901
ISBN 13 
9783540355908
Einband
Taschenbuch
Anzahl der Seiten
272
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