by Stephen G. Simpson
Publisher: The Pennsylvania State University 1998
Number of pages: 127
An important branch of mathematical logic is model theory, the study of first-order theories and the classes of models defined by such theories. This course will include numerous applications of model theory to algebra, especially ordered fields and differential fields.
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by D. Haskell, A. Pillay, C. Steinhorn - Cambridge University Press
The book gives the necessary background for the model theory and the mathematics behind the applications. Aimed at graduate students and researchers, it contains surveys by leading experts covering the whole spectrum of contemporary model theory.
by Harold Simmons - The University of Manchester
Topics covered: Basic ideas of language, satisfaction, and compactness; Some examples of elimination of quantifiers; The diagram technique; Model complete theories, companion theories, existentially closed structures, and various refinements; etc.
by David Reid - Smashwords
The skeleton of this book is a science fiction story without the usual mangling of physics. The flesh is composed of non-technical mainstream explanations and examples of the field of mathematics which deals with meaning, called Model Theory.
by C. Ward Henson - University of South Carolina
The purpose of this text is to give a thorough introduction to the methods of model theory for first order logic. Model theory is the branch of logic that deals with mathematical structures and the formal languages they interpret.