Gauge Fields, Knots, and Gravity pdf epub mobi txt 電子書下載2025

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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.

出版者:World Scientific Publishing Company

作者:John C. Baez

出品人:

頁數:477

译者:

出版時間:1994-09

價格:USD 49.00

裝幀:Paperback

isbn號碼:9789810220341

叢書系列:Series on Knots and Everything

圖書標籤:

數學
物理
數學物理
規範場
Physics
物理-量子場論
科普
物理-QuantumGravity

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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.

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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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還不錯

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想瞭解gauge fields而選瞭這本書，作者試圖更多地從直覺上解釋問題，對於理解挺有幫助的，尤其是Part 1和Part 2的前半部分。但同時也省略瞭嚴格的數學證明。比較有意思的是第一次見到書中定義vector fields的方法，和微分幾何中常見的用section來定義不同。從Maxwell方程到Yang-Mills這部分都很好，但Part 2.5對於link和knots的介紹令人費解，幾何性質與物理意義講得都不清楚；Part 3關於gravity則更是簡略。

评分☆☆☆☆☆

好書。日後更新評論。

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還不錯

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好書。日後更新評論。