Louis Hirsch Kauffman (born February 3, 1945) is an American mathematician, topologist, and professor of Mathematics in the Department of Mathematics, Statistics, and Computer science at the University of Illinois at Chicago. He is known for the introduction and development of the bracket polynomial and the Kauffman polynomial.
发表于2024-11-23
Knots and Physics (Knots and Everything) 2024 pdf epub mobi 电子书
I don't think it is as clear as the other, but it may be more specifically relevant to my interests.
评分I don't think it is as clear as the other, but it may be more specifically relevant to my interests.
评分I don't think it is as clear as the other, but it may be more specifically relevant to my interests.
评分I don't think it is as clear as the other, but it may be more specifically relevant to my interests.
评分I don't think it is as clear as the other, but it may be more specifically relevant to my interests.
图书标签: 物理 knots Topology 物理學 数学 微分拓扑7 the_magic_whip mathematics
This book is an introductory explication on the theme of knot and link invariants as generalized amplitudes (vacuum-vacuum amplitudes) for a quasi-physical process. The demands of the knot theory, coupled with a quantum statistical frame work create a context that naturally and powerfully includes an extraordinary range of interelated topics in topology and mathematical physics. The author takes a primarily combinatorial stance toward the knot theory and its relations with these subjects. This has the advantage of providing very direct access to the algebra and to the combinatorial topology, as well as the physical ideas. This book is divided into 2 parts: Part I of the book is a systematic course in knots and physics starting from the ground up. Part II is a set of lectures on various topics related with and sometimes based on Part I. Part II also explores some side-topics such as frictional properties of knots, relations with combinatorics, knots in dynamical systems.
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评分notation真的太老了,手绘的稚拙图片也有点赶客, 但毕竟是一代经典
评分:)
评分notation真的太老了,手绘的稚拙图片也有点赶客, 但毕竟是一代经典
评分冯诺依曼代数 -----阿廷的辫子群(辫子是粒子相互作用或者运动图)的映射的表示是琼斯多项式
Knots and Physics (Knots and Everything) 2024 pdf epub mobi 电子书