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This concise introduction to model theory begins with standard
notions and takes the reader through to more advanced topics such
as stability, simplicity and Hrushovski constructions. The authors
introduce the classic results, as well as more recent developments
in this vibrant area of mathematical logic. Concrete mathematical
examples are included throughout to make the concepts easier to
follow. The book also contains over 200 exercises, many with
solutions, making the book a useful resource for graduate students
as well as researchers.
Many areas of mathematics were deeply influenced or even founded by
Hermann Weyl, including geometric foundations of manifolds and
physics, topological groups, Lie groups and representation theory,
harmonic analysis and analytic number theory as well as foundations
of mathematics. In this volume, leading experts present his lasting
influence on current mathematics, often connecting Weyl's theorems
with cutting edge research in dynamical systems, invariant theory,
and partial differential equations. In a broad and accessible
presentation, survey chapters describe the historical development
of each area alongside up-to-the-minute results, focussing on the
mathematical roots evident within Weyl's work.
This volume contains selected papers from the international conference Tits Buildings and the Model Theory of Groups, held in WÜrzburg in 2000. The first part provides a general introduction to many aspects of buildings and their geometries, based on short lecture courses given at the conference. The rest of the book comprises survey and research articles on model theoretic results and techniques. Amalgamation constructions a la Hrushovski are explained and classified, as they are important techniques both in model theory and geometry. The articles demonstrate the close connection between geometry, group theory, and model theory.
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