E-raamat: Model Theory of Fields: Lecture Notes in Logic 5, Second Edition 2nd edition [Taylor & Francis e-raamat]

The model theory of fields is a fascinating subject stretching from Tarski's work on decidability of the theories of real and complex fields to Hrushovski's recent proof of the Mordell-Lang conjecture for function fields. This volume provides an insightful introduction to this active area, concentrating on connections to stability theory.

Marker (mathematics, statistics, and computer science; U. of Illinois-Chicago), Margit Messmer, and Anand Pilay (both: mathematics, U. of Illinois-Urbana-Champaign) present four lectures for a graduate logic course introducing the model theory of fields with an emphasis on connections to stability theory. The first edition was written in the early 1990s, but the second does not try to incorporate all the changes since then, only to correct mistakes, update references, and smooth out the exposition. Annotation ©2006 Book News, Inc., Portland, OR (booknews.com)