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Zariski Geometries

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Zariski Geometries

Zariski Geometries

Geometry from the Logician's Point of View
Boris Zilber, University of Oxford
March 2010
Available
Paperback
9780521735605
$79.99
USD
Paperback
USD
eBook
    Description

    This book presents methods and results from the theory of Zariski structures and discusses their applications in geometry as well as various other mathematical fields. Its logical approach helps us understand why algebraic geometry is so fundamental throughout mathematics and why the extension to noncommutative geometry, which has been forced by recent developments in quantum physics, is both natural and necessary. Beginning with a crash course in model theory, this book will suit not only model theorists but also readers with a more classical geometric background.

    • Contains survey material as well as detailed mathematical proofs
    • Assumes no specialist background in logic
    • Over 50 exercises help the reader test their understanding of the material

    Reviews & endorsements

    "This monograph is an important contribution to a rich and fascinating subject."
    Markus Junker, Mathematical Reviews

    See more reviews

    Product details

    March 2010
    Paperback
    9780521735605
    224 pages
    227 × 152 × 12 mm
    0.33kg
    50 exercises
    Available

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    Contents

    Table of Contents

    • 1. Introduction
    • 2. Topological structures
    • 3. Noetherian Zariski structures
    • 4. Classification results
    • 5. Non-classical Zariski geometries
    • 6. Analytic Zariski geometries
    • A. Basic model theory
    • B. Geometric stability theory
    • References
    • Index.
      • Show more

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    About the authors
      Author
    • Boris Zilber , University of Oxford

      Boris Zilber is Professor of Mathematical Logic in the Mathematical Institute at the University of Oxford.

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