| Description |
1 online resource (vii, 242 pages) : illustrations |
| Series |
Fields Institute communications, 1069-5265 ; v. 62 |
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Fields Institute communications ; v. 62.
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| Contents |
Blowings-Up of Vector Fields / Felipe Cano -- Basics of O-minimality and Hardy Fields / Chris Miller -- Construction of O-minimal Structures from Quasianalytic Classes / Jean-Philippe Rolin -- Course on Non-oscillatory Trajectories / Fernando Sanz Sánchez -- Pfaffian Sets and O-minimality / Patrick Speissegger -- Theorems of the Complement / Antongiulio Fornasiero and Tamara Servi |
| Summary |
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 |
| Analysis |
Mathematics |
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Algebra |
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Group theory |
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Logic, Symbolic and mathematical |
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Mathematical Logic and Foundations |
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General Algebraic Systems |
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Group Theory and Generalizations |
|
wiskunde |
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Mathematics (General) |
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Wiskunde (algemeen) |
| Bibliography |
Includes bibliographical references |
| Notes |
Print version record |
| Subject |
Model theory.
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Geometry, Analytic.
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Vector fields.
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Mathematics.
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Mathematics
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mathematics.
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applied mathematics.
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MATHEMATICS -- Infinity.
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MATHEMATICS -- Logic.
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Teoría de modelos
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Geometría analítica
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Campos vectoriales
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Matemáticas
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Mathematics
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Geometry, Analytic
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Model theory
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Vector fields
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| Form |
Electronic book
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| Author |
Miller, Chris (Christopher L.)
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Rolin, Jean-Philippe.
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Speissegger, Patrick.
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| ISBN |
9781461440420 |
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1461440424 |
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9781461440413 |
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1461440416 |
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