An Introduction to Knot Theory [Hardcover]

W.B.Raymond Lickorish (Author)

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Product Details

Hardcover: 230 pages
Publisher: Springer; 1 edition (Oct 3 1997)
Language: English
ISBN-10: 038798254X
ISBN-13: 978-0387982540
Product Dimensions: 2.4 x 1.6 x 0.2 cm
Shipping Weight: 522 g
Amazon Bestsellers Rank: #2,159,039 in Books (See Top 100 in Books)

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Review

W.B.R. Lickorish An Introduction to Knot Theory "This essential introduction to vital areas of mathematics with connections to physics, while intended for graduate students, should fall within the ken of motivated upper-division undergraduates."—CHOICE

Product Description

A selection of topics which graduate students have found to be a successful introduction to the field, employing three distinct techniques: geometric topology manoeuvres, combinatorics, and algebraic topology. Each topic is developed until significant results are achieved and each chapter ends with exercises and brief accounts of the latest research. What may reasonably be referred to as knot theory has expanded enormously over the last decade and, while the author describes important discoveries throughout the twentieth century, the latest discoveries such as quantum invariants of 3-manifolds as well as generalisations and applications of the Jones polynomial are also included, presented in an easily intelligible style. Readers are assumed to have knowledge of the basic ideas of the fundamental group and simple homology theory, although explanations throughout the text are numerous and well-done. Written by an internationally known expert in the field, this will appeal to graduate students, mathematicians and physicists with a mathematical background wishing to gain new insights in this area.

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Inside This Book (Learn More)

First Sentence
The mathematical theory of knots is intended to be a precise investigation into the way that 1-dimensional "string" can lie in ordinary 3-dimensional space. Read the first page

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Concordance

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Amazon.com: 5.0 out of 5 stars (1 customer review)

10 of 10 people found the following review helpful

5.0 out of 5 stars Thorough and intriguing, Jun 8 2008

By J. Conant - Published on Amazon.com

This review is from: An Introduction to Knot Theory (Hardcover)

The level of detail in this book is just right. It provides complete and rigorous proofs without getting bogged down in too much detail. In addition to some other knot theory standards, it has an excellent section on 3-manifold invariants arising from the Temperley-Lieb algebra. This book is appropriate for those who have a knowledge of algebraic topology.

› Go to Amazon.com to see the review 5.0 out of 5 stars