Lecture Notes on O-Minimal Structures and Real Analytic Geometry by Chris Miller

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Item specifics

Condition
Brand New: A new, unread, unused book in perfect condition with no missing or damaged pages. See all condition definitionsopens in a new window or tab
ISBN-13
9781493901029
Book Title
Lecture Notes on O-Minimal Structures and Real Analytic Geometry
ISBN
9781493901029
Category

About this product

Product Identifiers

Publisher
Springer New York
ISBN-10
1493901028
ISBN-13
9781493901029
eBay Product ID (ePID)
206010403

Product Key Features

Number of Pages
VIII, 244 Pages
Language
English
Publication Name
Lecture Notes on O-Minimal Structures and Real Analytic Geometry
Publication Year
2014
Subject
Algebra / Abstract, Differential Equations / General, Logic, Geometry / Algebraic, Vector Analysis, Complex Analysis
Type
Textbook
Author
Jean-Philippe Rolin
Subject Area
Mathematics
Series
Fields Institute Communications Ser.
Format
Trade Paperback

Dimensions

Item Weight
16 Oz
Item Length
9.3 in
Item Width
6.1 in

Additional Product Features

Intended Audience
Scholarly & Professional
Series Volume Number
62
Number of Volumes
1 vol.
Illustrated
Yes
Table Of Content
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).
Synopsis
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., 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).
LC Classification Number
QA8.9-10.3

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