Lecture Notes on O-Minimal Structures and Real Analytic Geometry

Chris Miller, Jean-Philippe Rolin, Patrick Speissegger

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English

Springer-Verlag New York Inc.
15 October 2014

Mathematical foundations; Groups & group theory; Analytic geometry; Mathematical modelling

Series: Fields Institute Communications

Summary
Details

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.

Edited by: Chris Miller, Jean-Philippe Rolin, Patrick Speissegger
Imprint: Springer-Verlag New York Inc.
Country of Publication: United States
Edition: 2012 ed.
Volume: 62
Dimensions: Height: 235mm, Width: 155mm, Spine: 13mm
Weight: 454g
ISBN: 9781493901029
ISBN 10: 1493901028
Series: Fields Institute Communications
Pages: 244
Publication Date: 15 October 2014
Audience: College/higher education , Professional and scholarly , Further / Higher Education , Undergraduate
Format: Paperback
Publisher's Status: Active