Transseries and Real Differential A - E-book

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Transseries And Real Differential Algebra - ENG

Joris van der Hoeven

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Sinopsis

ISBN:	9783540355915
Formato:	Page Fidelity
Idioma:	Inglés
Editorial:	Springer Nature
Tema:	Matemáticas
Subtema:	Geometría algebraica
Año de publicación:	2006-10-31

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 Ã‰calles proof of Dulacs conjecture, which is closely related to Hilberts 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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