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Field name	Details
Dewey Class	511.3
Title	Lecture Notes on O-Minimal Structures and Real Analytic Geometry ([Ebook]) / edited by Chris Miller, Jean-Philippe Rolin, Patrick Speissegger.
Author	Miller, Chris
Added Personal Name	Rolin, Jean-Philippe
Added Personal Name	Speissegger, Patrick
Other name(s)	SpringerLink (Online service)
Publication	New York, NY : Springer
Publication	, 2012.
Physical Details	VII, 242 pages: 26 illus. : online resource.
Series	Fields Institute communications 1069-5265 ; ; 62
ISBN	9781461440420
Summary Note	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.:
Contents note	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. SÃ¡nchez) -- Pfaffian Sets and o-Minimality (P. Speissegger) -- Theorems of the Complement (A. Fornasiero, T. Servi).
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.1007/978-1-4614-4042-0
Links to Related Works	Subject References: Algebra . General Algebraic Systems . Group theory . Group Theory and Generalizations . Logic, Symbolic and mathematical . Mathematical Logic and Foundations . Mathematics . Authors: editor . Miller, Chris . Rolin, Jean-Philippe . Speissegger, Patrick . Corporate Authors: SpringerLink (Online service) . Series: Fields Institute communications . Classification: 511.3 . 511.3 (DDC 23) .

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Lecture Notes on O-Minimal Structures and Real Analytic Geometry

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