Model Theory of Fields (Hardcover)

David Marker

ISBN 10: 1107168074 / ISBN 13: 9781107168077

Published by Cambridge University Press, Cambridge, 2017

About this Item

Hardcover. 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 2 non-isomorphic countable differential closed fields. Finally, Margit Messmer gives a survey of the model theory of separably closed fields of characteristic p > 0. The model theory of fields is a fascinating subject stretching from Tarski's work on the decidability of the theories of the real and complex fields to Hrushovksi's recent proof of the MordellLang conjecture for function fields. This volume provides an insightful introduction to this active area, concentrating on connections to stability theory. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.

Seller Inventory # 9781107168077

Bibliographic Details

• Title: Model Theory of Fields (Hardcover)
• Publisher: Cambridge University Press, Cambridge
• Publication Date: 2017
• Language: English
• ISBN 10: 1107168074
• ISBN 13: 9781107168077
• Binding: Hardcover
• Condition: new

About this title

Synopsis

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.

About the Authors

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.