Algebraic Models in Geometry

Algebraic Models in Geometry PDF Author: Yves Félix
Publisher: Oxford University Press
ISBN: 0199206511
Category : Mathematics
Languages : en
Pages : 483

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Book Description
A text aimed at both geometers needing the tools of rational homotopy theory to understand and discover new results concerning various geometric subjects, and topologists who require greater breadth of knowledge about geometric applications of the algebra of homotopy theory.

Algebraic Models in Geometry

Algebraic Models in Geometry PDF Author: Yves Félix
Publisher: Oxford University Press
ISBN: 0199206511
Category : Mathematics
Languages : en
Pages : 483

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Book Description
A text aimed at both geometers needing the tools of rational homotopy theory to understand and discover new results concerning various geometric subjects, and topologists who require greater breadth of knowledge about geometric applications of the algebra of homotopy theory.

Algebraic Geometry and Geometric Modeling

Algebraic Geometry and Geometric Modeling PDF Author: Mohamed Elkadi
Publisher: Springer Science & Business Media
ISBN: 3540332758
Category : Mathematics
Languages : en
Pages : 252

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Book Description
This book spans the distance between algebraic descriptions of geometric objects and the rendering of digital geometric shapes based on algebraic models. These contrasting points of view inspire a thorough analysis of the key challenges and how they are met. The articles focus on important classes of problems: implicitization, classification, and intersection. Combining illustrative graphics, computations and review articles this book helps the reader gain a firm practical grasp of these subjects.

Model Theory, Algebra, and Geometry

Model Theory, Algebra, and Geometry PDF Author: Deirdre Haskell
Publisher: Cambridge University Press
ISBN: 9780521780681
Category : Mathematics
Languages : en
Pages : 244

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Book Description
Leading experts survey the connections between model theory and semialgebraic, subanalytic, p-adic, rigid and diophantine geometry.

Algebraic Geometry and Geometric Modeling

Algebraic Geometry and Geometric Modeling PDF Author: Mohamed Elkadi
Publisher: Springer
ISBN: 9783642069932
Category : Mathematics
Languages : en
Pages : 0

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Book Description
This book spans the distance between algebraic descriptions of geometric objects and the rendering of digital geometric shapes based on algebraic models. These contrasting points of view inspire a thorough analysis of the key challenges and how they are met. The articles focus on important classes of problems: implicitization, classification, and intersection. Combining illustrative graphics, computations and review articles this book helps the reader gain a firm practical grasp of these subjects.

Mathematical models

Mathematical models PDF Author: Gerd Fischer
Publisher: Informatica International, Incorporated
ISBN:
Category : Mathematics
Languages : en
Pages : 118

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Book Description


Lectures on Algebraic Model Theory

Lectures on Algebraic Model Theory PDF Author: Bradd T. Hart
Publisher: American Mathematical Soc.
ISBN: 0821827057
Category : Mathematics
Languages : en
Pages : 121

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Book Description
This thin volume contains three sets of lecture notes, representing recent developments in differential scales, o-minimality, and tame convergence theory. The first lecture outlines the basics of differential fields, and then addresses topics like differential varieties and tangent bundles, Kolchin's logarithmic derivative, and Manin's construction. The second describes added exponentation, T-convexity and tame extensions, piecewise linearity, the Wilkie inequality, and the valuation property. And the third considers the structure and varieties of finite algebra. No index. c. Book News Inc.

Algebraic Geometry I

Algebraic Geometry I PDF Author: V.I. Danilov
Publisher: Springer Science & Business Media
ISBN: 9783540637059
Category : Mathematics
Languages : en
Pages : 328

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Book Description
"... To sum up, this book helps to learn algebraic geometry in a short time, its concrete style is enjoyable for students and reveals the beauty of mathematics." --Acta Scientiarum Mathematicarum

Algebraic Model Theory

Algebraic Model Theory PDF Author: Bradd T. Hart
Publisher: Springer Science & Business Media
ISBN: 9401589232
Category : Mathematics
Languages : en
Pages : 285

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Book Description
Recent major advances in model theory include connections between model theory and Diophantine and real analytic geometry, permutation groups, and finite algebras. The present book contains lectures on recent results in algebraic model theory, covering topics from the following areas: geometric model theory, the model theory of analytic structures, permutation groups in model theory, the spectra of countable theories, and the structure of finite algebras. Audience: Graduate students in logic and others wishing to keep abreast of current trends in model theory. The lectures contain sufficient introductory material to be able to grasp the recent results presented.

Geometric Modeling and Algebraic Geometry

Geometric Modeling and Algebraic Geometry PDF Author: Bert Jüttler
Publisher: Springer Science & Business Media
ISBN: 3540721851
Category : Mathematics
Languages : en
Pages : 227

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Book Description
Geometric Modeling and Algebraic Geometry, though closely related, are traditionally represented by two almost disjoint scientific communities. Both fields deal with objects defined by algebraic equations, but the objects are studied in different ways. In 12 chapters written by leading experts, this book presents recent results which rely on the interaction of both fields. Some of these results have been obtained from a major European project in geometric modeling.

Algebraic Geometry and Statistical Learning Theory

Algebraic Geometry and Statistical Learning Theory PDF Author: Sumio Watanabe
Publisher: Cambridge University Press
ISBN: 0521864674
Category : Computers
Languages : en
Pages : 295

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Book Description
Sure to be influential, Watanabe's book lays the foundations for the use of algebraic geometry in statistical learning theory. Many models/machines are singular: mixture models, neural networks, HMMs, Bayesian networks, stochastic context-free grammars are major examples. The theory achieved here underpins accurate estimation techniques in the presence of singularities.