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portada Introduction to Model Theory
Type
Physical Book
Author
Publisher
Language
English
Pages
324
Format
Paperback
Dimensions
23.1x15.1x1.8 cm
Weight
0.47 kg.
ISBN13
9789056993139
Categories

Introduction to Model Theory

Philipp Rothmaler (Author) · CRC Press · Paperback

Introduction to Model Theory - Rothmaler, Philipp

New Book Imported to Taiwan
Delivery: 23 Oct - 02 Nov Shipping: 6 to 7 business days.
NT$ 4,936
NT$ 4,936

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Synopsis "Introduction to Model Theory "

Model theory investigates mathematical structures by means of formal languages. So-called first-order languages have proved particularly useful in this respect. This text introduces the model theory of first-order logic, avoiding syntactical issues not too relevant to model theory. In this spirit, the compactness theorem is proved via the algebraically useful ultrsproduct technique (rather than via the completeness theorem of first-order logic). This leads fairly quickly to algebraic applications, like Malcev's local theorems of group theory and, after a little more preparation, to Hilbert's Nullstellensatz of field theory. Steinitz dimension theory for field extensions is obtained as a special case of a much more general model-theoretic treatment of strongly minimal theories. There is a final chapter on the models of the first-order theory of the integers as an abelian group. Both these topics appear here for the first time in a textbook at the introductory level, and are used to give hints to further reading and to recent developments in the field, such as stability (or classification) theory.

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