Zariski Geometries : Geometry from the Logician's Point of View / Boris Zilber.

By: Zilber, Boris [author.]Material type: TextTextSeries: London Mathematical Society Lecture Note Series ; no. 360Publisher: Cambridge : Cambridge University Press, 2010Description: 1 online resource (224 pages) : digital, PDF file(s)Content type: text Media type: computer Carrier type: online resourceISBN: 9781139107044 (ebook)Subject(s): Zariski, Oscar,1899-1986 | Zariski surfaces | Geometry, AlgebraicAdditional physical formats: Print version: : No titleDDC classification: 516.35 Online resources: Click here to access online Summary: 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.
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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.

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