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An Invitation to Model Theory
Hardcover
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ISBN10: 1107163889
ISBN13: 9781107163881
Publisher: Cambridge University Press
Published: Apr 18 2019
Pages: 194
Weight: 0.90
Height: 0.50 Width: 8.60 Depth: 9.20
Language: English
ISBN13: 9781107163881
Publisher: Cambridge University Press
Published: Apr 18 2019
Pages: 194
Weight: 0.90
Height: 0.50 Width: 8.60 Depth: 9.20
Language: English
Model theory begins with an audacious idea: to consider statements about mathematical structures as mathematical objects of study in their own right. While inherently important as a tool of mathematical logic, it also enjoys connections to and applications in diverse branches of mathematics, including algebra, number theory and analysis. Despite this, traditional introductions to model theory assume a graduate-level background of the reader. In this innovative textbook, Jonathan Kirby brings model theory to an undergraduate audience. The highlights of basic model theory are illustrated through examples from specific structures familiar from undergraduate mathematics, paying particular attention to definable sets throughout. With numerous exercises of varying difficulty, this is an accessible introduction to model theory and its place in mathematics.
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