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＜電子ブック＞
Lecture Notes on O-Minimal Structures and Real Analytic Geometry / edited by Chris Miller, Jean-Philippe Rolin, Patrick Speissegger
(Fields Institute Communications. ISSN:21941564 ; 62)

版	1st ed. 2012.
出版者	(New York, NY : Springer New York : Imprint: Springer)
出版年	2012
本文言語	英語
大きさ	VIII, 244 p : online resource
著者標目	Miller, Chris editor Rolin, Jean-Philippe editor Speissegger, Patrick editor SpringerLink (Online service)
件　名	LCSH:Mathematical logic LCSH:Universal algebra LCSH:Group theory FREE:Mathematical Logic and Foundations FREE:General Algebraic Systems FREE:Group Theory and Generalizations
一般注記	Preface -- Blowings-up of Vector Fields (F. Cano) -- Basics of o-Minimality and Hardy Fields (C. Miller) -- Construction of o-Minimal Structures from Quasianalytic Classes (J.-P. Rolin) -- Course on Non-Oscillatory Trajectories -- F.S. Sánchez) -- Pfaffian Sets and o-Minimality (P. Speissegger) -- Theorems of the Complement (A. Fornasiero, T. Servi) This volume was produced in conjunction with the Thematic Program in o-Minimal Structures and Real Analytic Geometry, held from January to June of 2009 at the Fields Institute. Five of the six contributions consist of notes from graduate courses associated with the program: Felipe Cano on a new proof of resolution of singularities for planar analytic vector fields; Chris Miller on o-minimality and Hardy fields; Jean-Philippe Rolin on the construction of o-minimal structures from quasianalytic classes; Fernando Sanz on non-oscillatory trajectories of vector fields; and Patrick Speissegger on pfaffian sets. The sixth contribution, by Antongiulio Fornasiero and Tamara Servi, is an adaptation to the nonstandard setting of A.J. Wilkie's construction of o-minimal structures from infinitely differentiable functions. Most of this material is either unavailable elsewhere or spread across many different sources such as research papers, conference proceedings and PhD theses. This book will be a useful tool for graduate students or researchers from related fields who want to learn about expansions of o-minimal structures by solutions, or images thereof, of definable systems of differential equations HTTP:URL=https://doi.org/10.1007/978-1-4614-4042-0

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