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Science/Engineering Knot Theory

Posted on 2010-03-15




Name:Science/Engineering Knot Theory
ASIN/ISBN:0883850273
Language:English
File size:2.1 Mb
Publish Date: 1996-09-05
ISBN: 0883850273
Pages: 258 pages
File Size: 2,1 MB
Other Info: The Mathematical Association of America; Djvu
   Science/Engineering Knot Theory

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Charles Livingston “Knot Theory"

Knot Theory, a lively exposition of the mathematics of knotting, will appeal to a diverse audience from the undergraduate seeking experience outside the traditional range of studies to mathematicians wanting a leisurely introduction to the subject. Graduate students beginning a program of advanced study will find a worthwhile overview, and the reader will need no training beyond linear algebra to understand the mathematics presented. The interplay between topology and algebra, known as algebraic topology, arises early in the book, when tools from linear algebra and from basic group theory are introduced to study the properties of knots, including one of mathematics' most beautiful topics, symmetry. The book closes with a discussion of high-dimensional knot theory and a presentation of some of the recent advances in the subject - the Conway, Jones and Kauffman polynomials. A supplementary section presents the fundamental group, which is a centerpiece of algebraic topology.

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