《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, biolo...
《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.
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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原文摘录
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The naive notion that a particle is a point tracing out a path in spacetime, or that a field assign a number or vector to each point of spacetime, proved to be wholly inadequate, for one cannot measure the position and velocity of a particle simutaneously with arbitrary accuracy, nor the value of a field and its time derivative. (查看原文)
1 有用 liberty 2013-03-25 21:22:18
不懂manifolds的学物理的可以看看，其他的还是算了吧，并不是很令人舒服的一本书，过于简单缺乏严格性
3 有用 пух 2015-02-05 18:09:21
Wish I had this book in high school.
2 有用 王小七 2012-10-16 00:16:45
最近终于把此书读完了。历时近一年。该书前半部分细致而且剔透，以maxwell方程为线索逐步介绍规范场论。内容连贯而且生动，让我感觉更像是坐在了作者面前，聆听其教导。而然峰回路转，从link开始内容出现些许画图不清，表达差错等。而引力部分讲述过快，未能强化与link之间的关联，推荐
6 有用 阅微草堂 2014-11-18 17:49:52
chern-simons -----量子场论和三维拓扑理论-----纽结和环绕数-----量子引力基本方程的解。微分形式是积分号下面的东东。傅里叶变换其实也是一种方程的求解。物理的四大力学根本没有美，仅仅是零散的堆积，电磁学方程过去看起来挺好，但是实际上过于复杂直到从stokes 公式推理，再引申出去是poincare引理推理出整个电磁学，物理真美如斯：世界在整个思想中绽放。这本书刻着中国人的名字... chern-simons -----量子场论和三维拓扑理论-----纽结和环绕数-----量子引力基本方程的解。微分形式是积分号下面的东东。傅里叶变换其实也是一种方程的求解。物理的四大力学根本没有美，仅仅是零散的堆积，电磁学方程过去看起来挺好，但是实际上过于复杂直到从stokes 公式推理，再引申出去是poincare引理推理出整个电磁学，物理真美如斯：世界在整个思想中绽放。这本书刻着中国人的名字：陈省身，杨振宁，丘成桐，周炜良，他们指引着我们前行 (展开)
0 有用 Meh 2021-08-05 16:52:09
真是有趣又好玩儿
0 有用 苦芋头 2021-11-23 04:38:34
感觉读下来没看到很多物理，真正没接触过的高级物理此书都是囫囵吞枣、点到为止，没太大帮助。不过优点是十分可读，虽然大部分繁琐的计算还是要自己算。
0 有用 Meh 2021-08-05 16:52:09
真是有趣又好玩儿
0 有用 TommieFloweron 2021-03-31 03:22:18
我也该早点读完这本的……
0 有用 正则化 2019-12-17 20:35:58
Part1比梁灿彬老师的书更适合微分几何入门
2 有用 许羽言 2019-06-07 16:35:13
对于数学专业要学微分流形的人来说，第一部分看完对流形基本概念就清晰许多了。