Joris van der Hoeven's Transseries and Real Differential Algebra (Lecture Notes in PDF

By Joris van der Hoeven

ISBN-10: 3540355901

ISBN-13: 9783540355908

Transseries are formal gadgets produced from an infinitely huge variable x and the reals utilizing endless summation, exponentiation and logarithm. they're appropriate for modeling "strongly monotonic" or "tame" asymptotic ideas to differential equations and locate their foundation in at the least 3 various components of arithmetic: research, version thought and machine algebra. They play an important position in Écalle's facts of Dulac's conjecture, that's heavily with regards to Hilbert's sixteenth challenge. the purpose of the current e-book is to provide an in depth and self-contained exposition of the speculation of transseries, within the desire of constructing it extra obtainable to non-specialists.

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Transseries and Real Differential Algebra (Lecture Notes in Mathematics) by Joris van der Hoeven

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