JonathanKirby
Invitation to Model Theory
Invitation to Model Theory
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Model theory is a branch of mathematics that studies statements about mathematical structures as mathematical objects of study. This textbook introduces model theory to undergraduate audiences with examples from familiar structures and numerous exercises.
Format: Paperback / softback
Length: 194 pages
Publication date: 18 April 2019
Publisher: Cambridge University Press
Model theory, a groundbreaking concept, takes a daring approach by treating statements about mathematical structures as mathematical objects worthy of study in their own right. While undeniably vital as a tool in mathematical logic, it also boasts connections and applications across various branches of mathematics, such as algebra, number theory, and analysis. However, traditional introductions to model theory often assume a graduate-level understanding of the reader. In this innovative textbook, Jonathan Kirby presents model theory to an undergraduate audience. The key highlights of basic model theory are showcased through examples drawn from specific structures familiar to undergraduate mathematics, with a particular emphasis on definable sets throughout. Accompanied by numerous exercises of varying difficulty, this textbook serves as an accessible introduction to model theory and its significance in the realm of mathematics.
Model theory, a groundbreaking concept, takes a daring approach by treating statements about mathematical structures as mathematical objects worthy of study in their own right. While undeniably vital as a tool in mathematical logic, it also boasts connections and applications across various branches of mathematics, such as algebra, number theory, and analysis. However, traditional introductions to model theory often assume a graduate-level understanding of the reader. In this innovative textbook, Jonathan Kirby presents model theory to an undergraduate audience. The key highlights of basic model theory are showcased through examples drawn from specific structures familiar to undergraduate mathematics, with a particular emphasis on definable sets throughout. Accompanied by numerous exercises of varying difficulty, this textbook serves as an accessible introduction to model theory and its significance in the realm of mathematics.
Weight: 304g
Dimension: 152 x 227 x 12 (mm)
ISBN-13: 9781316615553
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