规范场、纽结和引力
豆瓣
Gauge Fields, Knots, and Gravity
John C. Baez / Javier P. Muniain
簡介
《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
