O Minimal Structures PDF Download
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Author | : Lou Van den Dries |
Publisher | : Cambridge University Press |
Total Pages | : 196 |
Release | : 1998-05-07 |
Genre | : Mathematics |
ISBN | : 0521598389 |
Download Tame Topology and O-minimal Structures Book in PDF, ePub and Kindle
These notes give a self-contained treatment of the theory of o-minimal structures from a geometric and topological viewpoint, assuming only rudimentary algebra and analysis. This book should be of interest to model theorists, analytic geometers and topologists.
Author | : Mário J. Edmundo |
Publisher | : Cuvillier Verlag |
Total Pages | : 223 |
Release | : 2005 |
Genre | : |
ISBN | : 386537557X |
Download O-minimal Structures Book in PDF, ePub and Kindle
Author | : G. O. Jones |
Publisher | : Cambridge University Press |
Total Pages | : 235 |
Release | : 2015-08-13 |
Genre | : Mathematics |
ISBN | : 1107462495 |
Download O-Minimality and Diophantine Geometry Book in PDF, ePub and Kindle
This book brings the researcher up to date with recent applications of mathematical logic to number theory.
Author | : Chris Miller |
Publisher | : Springer Science & Business Media |
Total Pages | : 247 |
Release | : 2012-09-14 |
Genre | : Mathematics |
ISBN | : 1461440416 |
Download Lecture Notes on O-Minimal Structures and Real Analytic Geometry Book in PDF, ePub and Kindle
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.
Author | : Deirdre Haskell |
Publisher | : Cambridge University Press |
Total Pages | : 244 |
Release | : 2000-07-03 |
Genre | : Mathematics |
ISBN | : 9780521780681 |
Download Model Theory, Algebra, and Geometry Book in PDF, ePub and Kindle
Leading experts survey the connections between model theory and semialgebraic, subanalytic, p-adic, rigid and diophantine geometry.
Author | : Lou Van den Dries |
Publisher | : |
Total Pages | : 194 |
Release | : 2014-05-14 |
Genre | : MATHEMATICS |
ISBN | : 9781107362611 |
Download Tame Topology and O-Minimal Structures Book in PDF, ePub and Kindle
These notes give a self-contained treatment of the theory of o-minimal structures.
Author | : Pierre Simon |
Publisher | : Cambridge University Press |
Total Pages | : 165 |
Release | : 2015-07-16 |
Genre | : Mathematics |
ISBN | : 1107057752 |
Download A Guide to NIP Theories Book in PDF, ePub and Kindle
The first book to introduce the rapidly developing subject of NIP theories, for students and researchers in model theory.
Author | : Jonathan Pila |
Publisher | : Cambridge University Press |
Total Pages | : 268 |
Release | : 2022-06-09 |
Genre | : Mathematics |
ISBN | : 1009301926 |
Download Point-Counting and the Zilber–Pink Conjecture Book in PDF, ePub and Kindle
Point-counting results for sets in real Euclidean space have found remarkable applications to diophantine geometry, enabling significant progress on the André–Oort and Zilber–Pink conjectures. The results combine ideas close to transcendence theory with the strong tameness properties of sets that are definable in an o-minimal structure, and thus the material treated connects ideas in model theory, transcendence theory, and arithmetic. This book describes the counting results and their applications along with their model-theoretic and transcendence connections. Core results are presented in detail to demonstrate the flexibility of the method, while wider developments are described in order to illustrate the breadth of the diophantine conjectures and to highlight key arithmetical ingredients. The underlying ideas are elementary and most of the book can be read with only a basic familiarity with number theory and complex algebraic geometry. It serves as an introduction for postgraduate students and researchers to the main ideas, results, problems, and themes of current research in this area.
Author | : James Carlson |
Publisher | : Cambridge University Press |
Total Pages | : 577 |
Release | : 2017-08-24 |
Genre | : Mathematics |
ISBN | : 1108422624 |
Download Period Mappings and Period Domains Book in PDF, ePub and Kindle
An introduction to Griffiths' theory of period maps and domains, focused on algebraic, group-theoretic and differential geometric aspects.
Author | : Springer |
Publisher | : |
Total Pages | : 252 |
Release | : 2012-09-01 |
Genre | : |
ISBN | : 9781461440437 |
Download Lecture Notes on O-Minimal Structures and Real Analytic Geometry Book in PDF, ePub and Kindle