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Transseries and Real Differential Algebra by Joris Van Der Hoeven
Transseries and Real Differential Algebra by Joris Van Der Hoeven
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Transseries and Real Differential Algebra

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Description

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.
Release date NZ
September 15th, 2006
Audience
  • Undergraduate
Illustrations
8 Illustrations, black and white; XII, 260 p. 8 illus.
Pages
260
Dimensions
156x234x14
ISBN-13
9783540355908
Product ID
5838241

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