Model Theory of Fields

Lecture Notes in Logic #5

David Marker, Margit Messmer, Anand Pillay

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English

Cambridge University Press
02 March 2017

Mathematical logic; Number theory

Series: Lecture Notes in Logic

Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. In this volume, the fifth publication in the Lecture Notes in Logic series, the authors give an insightful introduction to the fascinating subject of the model theory of fields, concentrating on its connections to stability theory. In the first two chapters David Marker gives an overview of the model theory of algebraically closed, real closed and differential fields. In the third chapter Anand Pillay gives a proof that there are 2א non-isomorphic countable differential closed fields. Finally, Margit Messmer gives a survey of the model theory of separably closed fields of characteristic p > 0.

By: David Marker, Margit Messmer, Anand Pillay
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Volume: 5
Dimensions: Height: 235mm, Width: 158mm, Spine: 17mm
Weight: 400g
ISBN: 9781107168077
ISBN 10: 1107168074
Series: Lecture Notes in Logic
Pages: 164
Publication Date: 02 March 2017
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active

David Marker is a professor at the University of Illinois, Chicago. His research includes model theory and its applications to real algebraic and analytic geometry, exponentiation, and differential algebra. Margit Messmer is a professor at the University of Illinois, Urbana-Champaign. Her research interests include mathematical logic and model theory. Anand Pillay is a professor at the University of Illinois, Urbana-Champaign. His research interests include model theory and applications to algebra, geometry and number theory.