Topology, Geometry and Gauge Fields: Interactions (Applied Mathematical Sciences #141) (Hardcover)

Topology, Geometry and Gauge Fields: Interactions (Applied Mathematical Sciences #141) Cover Image
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Description


A study of topology and geometry, beginning with a comprehensible account of the extraordinary and rather mysterious impact of mathematical physics, and especially gauge theory, on the study of the geometry and topology of manifolds. The focus of the book is the Yang-Mills-Higgs field and some considerable effort is expended to make clear its origin and significance in physics. Much of the mathematics developed here to study these fields is standard, but the treatment always keeps one eye on the physics and sacrifices generality in favor of clarity. The author brings readers up the level of physics and mathematics needed to conclude with a brief discussion of the Seiberg-Witten invariants. A large number of exercises are included to encourage active participation on the part of the reader.

About the Author


Gregory L. Naber is a Professor in the Department of Mathematics at Drexel University in Philadelphia, PA.


Product Details
ISBN: 9781441978943
ISBN-10: 1441978941
Publisher: Springer
Publication Date: April 6th, 2011
Pages: 420
Language: English
Series: Applied Mathematical Sciences
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