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Transseries and Real Differential Algebra

By (author) Joris van der Hoeven

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normal price: R 2 473.95

Price: R 2 349.95


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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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Normally shipped | Available from overseas. Usually dispatched in 14 days
Publisher | Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Published date | 15 Sep 2006
Language |
Format | Paperback / softback
Pages | 260
Dimensions | 235 x 155 x 0mm (L x W x H)
Weight | 0g
ISBN | 978-3-5403-5590-8
Readership Age |
BISAC | mathematics / geometry / algebraic


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