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001 978-1-4614-4042-0
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007 cr nn 008mamaa
008 120913s2012 xxu| s |||| 0|eng d
020 _a9781461440420
_9978-1-4614-4042-0
024 7 _a10.1007/978-1-4614-4042-0
_2doi
050 4 _aQA8.9-10.3
072 7 _aPBC
_2bicssc
072 7 _aPBCD
_2bicssc
072 7 _aMAT018000
_2bisacsh
082 0 4 _a511.3
_223
100 1 _aMiller, Chris.
_eeditor.
245 1 0 _aLecture Notes on O-Minimal Structures and Real Analytic Geometry
_h[electronic resource] /
_cedited by Chris Miller, Jean-Philippe Rolin, Patrick Speissegger.
264 1 _aNew York, NY :
_bSpringer New York :
_bImprint: Springer,
_c2012.
300 _aVII, 242 p. 26 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aFields Institute Communications,
_x1069-5265 ;
_v62
505 0 _aPreface -- 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).
520 _aThis 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.
650 0 _aMathematics.
650 0 _aAlgebra.
650 0 _aGroup theory.
650 0 _aLogic, Symbolic and mathematical.
650 1 4 _aMathematics.
650 2 4 _aMathematical Logic and Foundations.
650 2 4 _aGeneral Algebraic Systems.
650 2 4 _aGroup Theory and Generalizations.
700 1 _aRolin, Jean-Philippe.
_eeditor.
700 1 _aSpeissegger, Patrick.
_eeditor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781461440413
830 0 _aFields Institute Communications,
_x1069-5265 ;
_v62
856 4 0 _uhttp://dx.doi.org/10.1007/978-1-4614-4042-0
912 _aZDB-2-SMA
999 _c101475
_d101475