《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
0 有用 密涅瓦的猫头鹰 2024-05-21 11:13:57 陕西
高等电动力学的教材，这学期老师实际上抛弃了传统的讲法，直接上规范场论。微分几何我在本科时就尝试学习，但奈何太过抽象，没办法很好的理解。这学期因为课程的原因静下心来细细研究了微分几何与规范场论，收获颇多。微分几何是一门构建空间的学问，从0开始，尝试建构出描述我们这个宇宙的时空的性质。
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
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
0 有用 密涅瓦的猫头鹰 2024-05-21 11:13:57 陕西
高等电动力学的教材，这学期老师实际上抛弃了传统的讲法，直接上规范场论。微分几何我在本科时就尝试学习，但奈何太过抽象，没办法很好的理解。这学期因为课程的原因静下心来细细研究了微分几何与规范场论，收获颇多。微分几何是一门构建空间的学问，从0开始，尝试建构出描述我们这个宇宙的时空的性质。
0 有用 jukcoeng 2024-03-21 05:26:40 美国
大大提高了我对规范理论的理解，但从纽结和引力理论开始行文变得简略草率起来，如果只是想了解规范理论的话这本书用处还是挺大的。
0 有用 郦十久 2023-05-25 11:49:40 美国
i would give it 6 stars
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