Knots and Links 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Peter R. Cromwell 作者

Cambridge University Press

译者

2004-10-14 出版日期

348 页数

GBP 13.60 价格

Paperback

丛书系列

9780521548311 图书编码

Knots and Links 在线电子书图书标签: 数学 Knots 手作 math knot_theory and Links Cambridge

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Knots and Links 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

Knots and Links 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Knots and Links 在线电子书图书描述

Knots and links are studied by mathematicians, and are also finding increasing application in chemistry and biology. Many naturally occurring questions are often simple to state, yet finding the answers may require ideas from the forefront of research. This readable and richly illustrated 2004 book explores selected topics in depth in a way that makes contemporary mathematics accessible to an undergraduate audience. It can be used for upper-division courses, and assumes only knowledge of basic algebra and elementary topology. Together with standard topics, the book explains: polygonal and smooth presentations; the surgery equivalence of surfaces; the behaviour of invariants under factorisation and the satellite construction; the arithmetic of Conway's rational tangles; arc presentations. Alongside the systematic development of the main theory, there are discussion sections that cover historical aspects, motivation, possible extensions, and applications. Many examples and exercises are included to show both the power and limitations of the techniques developed.

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