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Books > Science & Mathematics > Mathematics > Applied mathematics
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Beyond First Order Model Theory, Volume II (Hardcover)
Loot Price: R4,456
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Beyond First Order Model Theory, Volume II (Hardcover)
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Model theory is the meta-mathematical study of the concept of
mathematical truth. After Afred Tarski coined the term Theory of
Models in the early 1950's, it rapidly became one of the central
most active branches of mathematical logic. In the last few
decades, ideas that originated within model theory have provided
powerful tools to solve problems in a variety of areas of classical
mathematics, including algebra, combinatorics, geometry, number
theory, and Banach space theory and operator theory. The two
volumes of Beyond First Order Model Theory present the reader with
a fairly comprehensive vista, rich in width and depth, of some of
the most active areas of contemporary research in model theory
beyond the realm of the classical first-order viewpoint. Each
chapter is intended to serve both as an introduction to a current
direction in model theory and as a presentation of results that are
not available elsewhere. All the articles are written so that they
can be studied independently of one another. This second volume
contains introductions to real-valued logic and applications,
abstract elementary classes and applications, interconnections
between model theory and function spaces, nonstucture theory, and
model theory of second-order logic. Features A coherent
introduction to current trends in model theory. Contains articles
by some of the most influential logicians of the last hundred
years. No other publication brings these distinguished authors
together. Suitable as a reference for advanced undergraduate,
postgraduates, and researchers. Material presented in the book
(e.g, abstract elementary classes, first-order logics with
dependent sorts, and applications of infinitary logics in set
theory) is not easily accessible in the current literature. The
various chapters in the book can be studied independently.
General
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