000 | 03366nam a22005175i 4500 | ||
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001 | 978-1-4614-4042-0 | ||
003 | DE-He213 | ||
005 | 20140220083249.0 | ||
007 | cr nn 008mamaa | ||
008 | 120913s2012 xxu| s |||| 0|eng d | ||
020 |
_a9781461440420 _9978-1-4614-4042-0 |
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024 | 7 |
_a10.1007/978-1-4614-4042-0 _2doi |
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050 | 4 | _aQA8.9-10.3 | |
072 | 7 |
_aPBC _2bicssc |
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072 | 7 |
_aPBCD _2bicssc |
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072 | 7 |
_aMAT018000 _2bisacsh |
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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. |
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300 |
_aVII, 242 p. 26 illus. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
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490 | 1 |
_aFields Institute Communications, _x1069-5265 ; _v62 |
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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 |