Gauge Fields, Knots, and Gravity 2024 pdf epub mobi 电子书

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Gauge Fields, Knots, and Gravity 2024 pdf epub mobi 电子书著者简介

John Carlos Baez is an American mathematical physicist and a professor of mathematics at the University of California, Riverside (UCR) in Riverside, California. He is known for his work on spin foams in loop quantum gravity. For some time, his research had focused on applications of higher categories to physics and other things.

Baez is also known to science fans as the author of This Week's Finds in Mathematical Physics, an irregular column on the internet featuring mathematical exposition and criticism. He started This Week's Finds in 1993 for the Usenet community, and it now has a following in its new form, the blog "Azimuth". This Week's Finds anticipated the concept of a personal weblog. Additionally, Baez is known on the World Wide Web as the author of the crackpot index.

Gauge Fields, Knots, and Gravity 电子书图书目录

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发表于2024-05-11

Gauge Fields, Knots, and Gravity 2024 pdf epub mobi 电子书

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这本好书一直没有书评，小弟我就抛砖引玉吧。昨天从卓越入手的，今天读到第三章。书的字体和纸张有点像小说。行文娓娓道来，解释清晰明了。由于作者的用意在于引导，而不是完整严格地处理全部内容，所以详略非常合像我这种偏物理不好纯数学的读者的胃口，没有必要繁复证明地地...

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出版者:World Scientific Publishing Company

作者:John C. Baez

出品人:

页数:477

译者:

出版时间:1994-09

价格:USD 49.00

装帧:Paperback

isbn号码:9789810220341

丛书系列:Series on Knots and Everything

图书标签: 数学物理数学物理规范场 Physics 物理-量子场论科普物理-QuantumGravity

Gauge Fields, Knots, and Gravity 2024 pdf epub mobi 电子书图书描述

This is an introduction to the basic tools of mathematics needed to understand the relation between knot theory and quantum gravity. The book begins with a rapid course on manifolds and differential forms, emphasizing how these provide a proper language for formulating Maxwell's equations on arbitrary spacetimes. The authors then introduce vector bundles, connections and curvature in order to generalize Maxwell theory to the Yang-Mills equations. The relation of gauge theory to the newly discovered knot invariants such as the Jones polynomial is sketched. Riemannian geometry is then introduced in order to describe Einstein's equations of general relativity and show how an attempt to quantize gravity leads to interesting applications of knot theory.

Gauge Fields, Knots, and Gravity 2024 pdf epub mobi 电子书

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Gauge Fields, Knots, and Gravity 2024 pdf epub mobi 用户评价

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想了解gauge fields而选了这本书，作者试图更多地从直觉上解释问题，对于理解挺有帮助的，尤其是Part 1和Part 2的前半部分。但同时也省略了严格的数学证明。比较有意思的是第一次见到书中定义vector fields的方法，和微分几何中常见的用section来定义不同。从Maxwell方程到Yang-Mills这部分都很好，但Part 2.5对于link和knots的介绍令人费解，几何性质与物理意义讲得都不清楚；Part 3关于gravity则更是简略。

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对于一个没学过物理的数学人来说，这本半科普的教材是规范场及Jones-Witten不变量相关问题的比较不错的导引。当然，看完了你也不会明白怎么数学上严格构造Witten不变量。。。

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物理学家学习现代数学优秀教材 2018.5.2 To Part II

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Gauge Fields, Knots, and Gravity 2024 pdf epub mobi 电子书