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Introduction to Model Theory

Author: 


ISBN-13: 

9789056992873


ISBN: 

9056992872


Publisher:  C R C Press LLC
Summary: Model theory is used to investigate mathematical structures by means of formal languages, and first-order languages have proved particularly useful in this respect. This text introduces the model theory of first-order logic. Avoiding syntactical issues, author proves the compactness theorem via the ultraproduct technique, which leads fairly quickly to algebraic applications like Malcev's local theorems and eventually... to Hilbert's Nullstellensatz. The author obtains Steinitz dimension theory for field extensions as a special case of a more general model-theoretic treatment of strongly minimal theories. The final chapter explores the models of the first-order theory of the integers as an abelian group.

Rothmaler, Philipp is the author of Introduction to Model Theory, published under ISBN 9789056992873 and 9056992872. One hundred seventy one Introduction to Model Theory textbooks are available for sale on ValoreBooks.com, or buy new starting at $73.98.
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Introduction to Model Theory

ISBN-13: 9789056992873


ISBN: 9056992872


Publisher: C R C Press LLC
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