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.
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.
發表於2024-11-23
Knots and Physics (Knots and Everything) 2024 pdf epub mobi 電子書 下載
I don't think it is as clear as the other, but it may be more specifically relevant to my interests.
評分I don't think it is as clear as the other, but it may be more specifically relevant to my interests.
評分I don't think it is as clear as the other, but it may be more specifically relevant to my interests.
評分I don't think it is as clear as the other, but it may be more specifically relevant to my interests.
評分I don't think it is as clear as the other, but it may be more specifically relevant to my interests.
圖書標籤: 物理 knots Topology 物理學 數學 微分拓撲7 the_magic_whip mathematics
notation真的太老瞭,手繪的稚拙圖片也有點趕客, 但畢竟是一代經典
評分:)
評分馮諾依曼代數 -----阿廷的辮子群(辮子是粒子相互作用或者運動圖)的映射的錶示是瓊斯多項式
評分notation真的太老瞭,手繪的稚拙圖片也有點趕客, 但畢竟是一代經典
評分:)
Knots and Physics (Knots and Everything) 2024 pdf epub mobi 電子書 下載