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Model Theory : Encyclopedia of Mathematics and Its Applications - Wilfrid Hodges

Model Theory

Encyclopedia of Mathematics and Its Applications

Hardcover

Published: 11th March 1993
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This is an up-to-date and integrated introduction to model theory, designed to be used for graduate courses (for students who are familiar with first-order logic), and as a reference for more experienced logicians and mathematicians. Model theory is concerned with the notions of definition, interpretation and structure in a very general setting, and is applied to a wide variety of other areas such as set theory, geometry, algebra (in particular group theory), and computer science (e.g. logic programming and specification). Professor Hodges emphasises definability and methods of construction, and introduces the reader to advanced topics such as stability. He also provides the reader with much historical information and a full bibliography, enhancing the book's use as a reference.

"...sets forth the basic tools that the fledgling model theorist should master...a new standard reference in this subject." J.M. Plotkin, Mathematical Reviews "...an important contribution to the literature...one of the few (or perhaps the only) books in print that develop the essentials of model theory in the modern style...valuable for its novel treatment and exposition of some important topics...Throughout the book, Hodges's vast knowledge of logic impresses itself on the reader. There is a beautiful variety and mix of classical and more recent techniques and ideas, especially in applications. It is a pleasure to leaf through the book..." Anand Pillay, Jrl of Symbolic Logic

Language and Structure
Naming of parts
Classifying structures
Structures that look alike
Automorphisms
Interpretations
Piecing Together a Structure
The first order case
The countable case
The existential case
The Horn case
Consequences of Compactness
Saturation
Combinatorial
Expansions and categoricity
Examples
Bibliography
Index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521304429
ISBN-10: 0521304423
Series: Encyclopedia of Mathematics and Its Applications
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 788
Published: 11th March 1993
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 23.4 x 15.6  x 4.1
Weight (kg): 1.27