✦ LIBER ✦

Knot theory

✍ Scribed by Charles Livingston

Book ID: 127456421
Publisher: Mathematical Association of America
Year: 1996
Tongue: English
Weight: 2 MB
Series: The Carus mathematical monographs 24
Category: Library
City: Washington, DC
ISBN-13: 9780883850275

No coin nor oath required. For personal study only.

✦ Synopsis

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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