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商品簡介
The Series on Knots and Everything: is a book series polarized around the theory of knots. Volume 1 in the series is Louis H Kanffmans 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.
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.
目次
Preface
I Electromagnetism
1 Maxwells Equations
2 Manifolds
3 Vector Fields
4 Differential Forms
5 Rewriting Maxwells Equations
6 DeRham Theory in Electromagnetism Notes to Part I
II Gauge Fields
1 Symmetry
2 Bundles and Connections
3 Curvature and the Yang-Mills Equation
4 Chern-Simons Theory
5 Link Invariants from Gauge Theory Notes to Part II
III Gravity
1 Semi-Riemannian Geometry
2 Einsteins Equation
3 Lagrangians for General Relativity
4 The ADM Formalism
5 The New Variables
Notes to Part III
Index
I Electromagnetism
1 Maxwells Equations
2 Manifolds
3 Vector Fields
4 Differential Forms
5 Rewriting Maxwells Equations
6 DeRham Theory in Electromagnetism Notes to Part I
II Gauge Fields
1 Symmetry
2 Bundles and Connections
3 Curvature and the Yang-Mills Equation
4 Chern-Simons Theory
5 Link Invariants from Gauge Theory Notes to Part II
III Gravity
1 Semi-Riemannian Geometry
2 Einsteins Equation
3 Lagrangians for General Relativity
4 The ADM Formalism
5 The New Variables
Notes to Part III
Index
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