9789810220341-9810220340-GAUGE FIELDS, KNOTS AND GRAVITY (Knots and Everything)

GAUGE FIELDS, KNOTS AND GRAVITY (Knots and Everything)

3.5
ISBN-13: 9789810220341
ISBN-10: 9810220340
Author: John Baez, Javier P Muniain
Publication date: 1994
Publisher: World Scientific Publishing Company
Format: Paperback 486 pages
Category: General
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Book details

ISBN-13: 9789810220341
ISBN-10: 9810220340
Author: John Baez, Javier P Muniain
Publication date: 1994
Publisher: World Scientific Publishing Company
Format: Paperback 486 pages
Category: General

Summary

Acknowledged authors John Baez , Javier P Muniain wrote GAUGE FIELDS, KNOTS AND GRAVITY (Knots and Everything) comprising 486 pages back in 1994. Textbook and eTextbook are published under ISBN 9810220340 and 9789810220341. Since then GAUGE FIELDS, KNOTS AND GRAVITY (Knots and Everything) textbook received total rating of 3.5 stars and was available to sell back to BooksRun online for the top buyback price of $ 22.45 or rent at the marketplace.

Description

This is an introduction to the basic tools of mathematics needed to understand the relation between knot theory and quantum gravity. The book begins with a rapid course on manifolds and differential forms, emphasizing how these provide a proper language for formulating Maxwell's equations on arbitrary spacetimes. The authors then introduce vector bundles, connections and curvature in order to generalize Maxwell theory to the Yang-Mills equations. The relation of gauge theory to the newly discovered knot invariants such as the Jones polynomial is sketched. Riemannian geometry is then introduced in order to describe Einstein's equations of general relativity and show how an attempt to quantize gravity leads to interesting applications of knot theory.

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