An Invitation to Model Theory
Book Details
Format
Paperback / Softback
ISBN-10
1316615553
ISBN-13
9781316615553
Publisher
Cambridge University Press
Imprint
Cambridge University Press
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Apr 18th, 2019
Print length
194 Pages
Weight
304 grams
Dimensions
15.20 x 22.70 x 1.20 cms
Product Classification:
Philosophy: logicPhilosophy of mathematicsMathematical logicSet theoryMathematical modelling
Ksh 4,750.00
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In this innovative and largely self-contained 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, and numerous exercises of varying difficulty further consolidate the student's learning.
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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