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Knot Theory and its Applications Book

Knot Theory and its Applications
Knot Theory and its Applications, , Knot Theory and its Applications has a rating of 4 stars
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Knot Theory and its Applications, , Knot Theory and its Applications
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  • Knot Theory and its Applications
  • Written by author Kunio Murasugi
  • Published by Springer-Verlag New York, LLC, June 1996
  • Knot theory is a concept in algebraic topology that has found applications to a variety of mathematical problems as well as to problems in computer science, biological and medical research, and mathematical physics. This book is directed to a broad audien
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Book Categories

Authors

Introduction1
1Fundamental Concepts of Knot Theory5
2Knot Tables25
3Fundamental Problems of Knot Theory40
4Classical Knot Invariants47
5Seifert Matrices75
6Invariants from the Seifert matrix104
7Torus Knots132
8Creating Manifolds from Knots152
9Tangles and 2-Bridge Knots171
10The Theory of Braids197
11The Jones Revolution217
12Knots via Statistical Mechanics248
13Knot Theory in Molecular Biology267
14Graph Theory Applied to Chemistry284
15Vassiliev Invariants300
Appendix325
Appendix (I): a table of knots326
Appendix (II): Alexander and Jones polynomials327
Notes329
Bibliography333
Index337


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