规范场、纽结和引力

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规范场、纽结和引力

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ISBN: 9787506291767
écrit par: John C. Baez / Javier P. Muniain
édition: 世界图书出版公司
date de publication: 2009 -1
prix: 49.00元
nombre de pages: 465

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Gauge Fields, Knots, and Gravity

John C. Baez / Javier P. Muniain   

résumé

《规范场、纽结和引力》主要内容:The Series on Knots and Everything: is a book series polarized around the theory of knots. Volume 1 in the series is Louis H Kanffman's Knots and Physics.
One purpose of this series is to continue the exploration of many of the themes indicated in Volume 1. These themes reach out beyond knot theory into physics, mathematics, logic, linguistics, philosophy, biology and practical experience. All of these outreaches have relations with knot theory when knot theory is regarded as a pivot or meeting place for apparently separate ideas. Knots act as such a pivotal place.We do not fully understand why this is so. The series represents stages in the exploration of this nexus.

contents

第一部分 Electromagnetism:
Maxwell's Equations
Manifolds
Vector Fields
Differential Forms
Rewriting Maxwell's Equations
DeRham Theory in Electromagnetism

第二部分 Gauge Fields:
Symmetry
Bundles and Connections
Curvature and the Yang-Mills Equation
Chern-Simons Theory
Link Invariants from Gauge Theory

第三部分 Gravity:
Semi-Riemannian Geometry
Einstein's Equation
Lagrangians for General Relativity
The ADM Formalism
The New Variables

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