Handbook of knot theory /
This book is a survey of current topics in the mathematical theory of knots. For a mathematician, a knot is a closed loop in 3-dimensional space: imagine knotting an extension cord and then closing it up by inserting its plug into its outlet. Knot theory is of central importance in pure and applied...
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Corporate Authors: | |
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Group Author: | ; |
Published: |
Elsevier,
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Publisher Address: | Amsterdam ; Boston : |
Publication Dates: | 2005. |
Literature type: | eBook |
Language: | English |
Subjects: | |
Online Access: |
http://www.sciencedirect.com/science/book/9780444514523 |
Summary: |
This book is a survey of current topics in the mathematical theory of knots. For a mathematician, a knot is a closed loop in 3-dimensional space: imagine knotting an extension cord and then closing it up by inserting its plug into its outlet. Knot theory is of central importance in pure and applied mathematics, as it stands at a crossroads of topology, combinatorics, algebra, mathematical physics and biochemistry. * Survey of mathematical knot theory * Articles by leading world authorities * Clear exposition, not over-technical * Accessible to readers with undergraduate background in mathematics. |
Carrier Form: | 1 online resource (ix, 492 pages) : illustrations |
Bibliography: | Includes bibliographical references and indexes. |
ISBN: |
9780444514523 044451452X 0080459544 9780080459547 |
Index Number: | QA612 |
CLC: | O189.24 |
Contents: |
Hyperbolic Knots -- Colin Adams -- Braids: A Survey -- Joan S. Birman and Tara E. Brendle -- Legendrian and Transversal Knots -- John B. Etnyre -- Knot Spinning -- Greg Friedman -- The Enumeration and Classification of Knots and Links -- Jim Hoste -- Knot Diagrammatics -- Louis H. Kauffman -- A Survey of Classical Knot Concordance -- Charles Livingston -- Knot Theory of Complex Plane Curves -- Lee Rudolph -- Thin Position in the Theory of Classical Knots -- Martin Scharlemann -- Computation of Hyperbolic Structures in Knot Theory -- Jeff Weeks. Hyperbolic knots / Braids : a survey / Legendrian and transversal knots / Knot spinning / The enumeration and classification of knots and links / Knot diagrammatics / A survey of classical knot concordance / Knot theory of complex plane curves / Thin position in the theory of classical knots / Computation of hyperbolic structures in knot theory / |