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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