Knot Theory and Its Applications

Knot Theory and Its Applications
Author: Kunio Murasugi
Publisher: Springer Science & Business Media
Total Pages: 348
Release: 2009-12-29
Genre: Mathematics
ISBN: 0817647198


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This book introduces the study of knots, providing insights into recent applications in DNA research and graph theory. It sets forth fundamental facts such as knot diagrams, braid representations, Seifert surfaces, tangles, and Alexander polynomials. It also covers more recent developments and special topics, such as chord diagrams and covering spaces. The author avoids advanced mathematical terminology and intricate techniques in algebraic topology and group theory. Numerous diagrams and exercises help readers understand and apply the theory. Each chapter includes a supplement with interesting historical and mathematical comments.


Knot Theory and Its Applications
Language: en
Pages: 348
Authors: Kunio Murasugi
Categories: Mathematics
Type: BOOK - Published: 2009-12-29 - Publisher: Springer Science & Business Media

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This book introduces the study of knots, providing insights into recent applications in DNA research and graph theory. It sets forth fundamental facts such as k
The Knot Book
Language: en
Pages: 330
Authors: Colin Conrad Adams
Categories: Mathematics
Type: BOOK - Published: 2004 - Publisher: American Mathematical Soc.

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Knots are familiar objects. Yet the mathematical theory of knots quickly leads to deep results in topology and geometry. This work offers an introduction to thi
Physical and Numerical Models in Knot Theory
Language: en
Pages: 642
Authors: Jorge Alberto Calvo
Categories: Mathematics
Type: BOOK - Published: 2005 - Publisher: World Scientific

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The physical properties of knotted and linked configurations in space have long been of interest to mathematicians. More recently, these properties have become
Knots and Applications
Language: en
Pages: 502
Authors: Louis H. Kauffman
Categories: Science
Type: BOOK - Published: 1995 - Publisher: World Scientific

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This volume is a collection of research papers devoted to the study of relationships between knot theory and the foundations of mathematics, physics, chemistry,
The Mathematics of Knots
Language: en
Pages: 363
Authors: Markus Banagl
Categories: Mathematics
Type: BOOK - Published: 2010-11-25 - Publisher: Springer Science & Business Media

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The present volume grew out of the Heidelberg Knot Theory Semester, organized by the editors in winter 2008/09 at Heidelberg University. The contributed papers