An Introduction To Knot Theory

Author: W.B.Raymond Lickorish
Editor: Springer Science & Business Media
ISBN: 146120691X
File Size: 35,38 MB
Format: PDF, Mobi
Read: 9091
Download

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.
An Introduction to Knot Theory
Language: en
Pages: 204
Authors: W.B.Raymond Lickorish
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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.
Introduction to Knot Theory
Language: en
Pages: 182
Authors: R. H. Crowell, R. H. Fox
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

Knot theory is a kind of geometry, and one whose appeal is very direct because the objects studied are perceivable and tangible in everyday physical space. It is a meeting ground of such diverse branches of mathematics as group theory, matrix theory, number theory, algebraic geometry, and differential geometry, to
An Interactive Introduction to Knot Theory
Language: en
Pages: 192
Authors: Inga Johnson , Allison Henrich
Categories: Mathematics
Type: BOOK - Published: 2017-01-18 - Publisher: Courier Dover Publications

This well-written and engaging volume, intended for undergraduates, introduces knot theory, an area of growing interest in contemporary mathematics. The hands-on approach features many exercises to be completed by readers. Prerequisites are only a basic familiarity with linear algebra and a willingness to explore the subject in a hands-on manner.
Why Knot?
Language: en
Pages: 100
Authors: Colin Adams
Categories: Mathematics
Type: BOOK - Published: 2004-03-29 - Publisher: Springer Science & Business Media

Colin Adams, well-known for his advanced research in topology and knot theory, is the author of this exciting new book that brings his findings and his passion for the subject to a more general audience. This beautifully illustrated comic book is appropriate for many mathematics courses at the undergraduate level
An Invitation to Knot Theory
Language: en
Pages: 256
Authors: Heather A. Dye
Categories: Mathematics
Type: BOOK - Published: 2018-09-03 - Publisher: CRC Press

The Only Undergraduate Textbook to Teach Both Classical and Virtual Knot Theory An Invitation to Knot Theory: Virtual and Classical gives advanced undergraduate students a gentle introduction to the field of virtual knot theory and mathematical research. It provides the foundation for students to research knot theory and read journal