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Books > Science & Mathematics > Biology, life sciences > Life sciences: general issues
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Geometry, Topology and Physics (Hardcover, 2nd edition)
Loot Price: R5,999
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Geometry, Topology and Physics (Hardcover, 2nd edition)
Expected to ship within 12 - 17 working days
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Differential geometry and topology have become essential tools for
many theoretical physicists. In particular, they are indispensable
in theoretical studies of condensed matter physics, gravity, and
particle physics. Geometry, Topology and Physics, Second Edition
introduces the ideas and techniques of differential geometry and
topology at a level suitable for postgraduate students and
researchers in these fields. The second edition of this popular and
established text incorporates a number of changes designed to meet
the needs of the reader and reflect the development of the subject.
The book features a considerably expanded first chapter, reviewing
aspects of path integral quantization and gauge theories. Chapter 2
introduces the mathematical concepts of maps, vector spaces, and
topology. The following chapters focus on more elaborate concepts
in geometry and topology and discuss the application of these
concepts to liquid crystals, superfluid helium, general relativity,
and bosonic string theory. Later chapters unify geometry and
topology, exploring fiber bundles, characteristic classes, and
index theorems. New to this second edition is the proof of the
index theorem in terms of supersymmetric quantum mechanics. The
final two chapters are devoted to the most fascinating applications
of geometry and topology in contemporary physics, namely the study
of anomalies in gauge field theories and the analysis of Polakov's
bosonic string theory from the geometrical point of view. Geometry,
Topology and Physics, Second Edition is an ideal introduction to
differential geometry and topology for postgraduate students and
researchers in theoretical and mathematical physics.
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