An edition of The mystery of knots (1999)

The mystery of knots

computer programming for knot tabulation

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Cover of: The mystery of knots by Charilaos N. Aneziris
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Last edited by Open Library Bot
December 5, 2010 | History
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An edition of The mystery of knots (1999)

The mystery of knots

computer programming for knot tabulation

by

  • 0 Ratings
  • 0 Want to read
  • 0 Currently reading
  • 0 Have read

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Publish Date
Publisher
World Scientific
Language
English
Pages
396

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Previews available in: English

Subjects
Knot theory, Méthodes statistiques, Nœuds, Théorie des, Statistical methods

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Edition Availability
Cover of: Mystery of Knots
Mystery of Knots: Computer Programming for Knot Tabulation
1999, World Scientific Publishing Co Pte Ltd
in English
Libraries near you: WorldCat
Cover of: The mystery of knots
The mystery of knots: computer programming for knot tabulation
1999, World Scientific
in English
  • Not in Library
Libraries near you: WorldCat

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Book Details

Table of Contents

Pt. 1. A Knot Theory Primer. 1. A General Understanding of Topology. 2. Knot Theory as a Branch of Topology. 3. The Regular Presentations of Knots. 4. The Equivalence Moves. 5. The Knot Invariants. 6. Elements of Group Theory. 7. The Fundamental Group. 8. The Knot Group. 9. The Colorization Invariants. 10. The Alexander Polynomial. 11. The Theory of Linear Homogeneous Systems. 12. Calculating the Alexander Polynomial. 13. The "minor" Alexander Polynomials. 14. The Meridian-Longitude Invariants. 15. Proving a Knot's Chirality. 16. Braid Theory - Skein Invariants. 17. Calculating the HOMFLYPT Polynomials. 18. Knot Theory after the HOMFLYPT
Pt. 2. The Problem of Knot Tabulation. 1. Basic Concepts of Computer Programming. 2. The Dowker Notation. 3. Drawing the Knot. 4. When is a Notation Drawable? 5. The "Equal Drawability" Moves. 6. Multiple Notations for Equivalent Knots. 7. Ordering the Dowker Notations. 8. Calculating the Notation Invariants. 9. A Few Examples. 10. The Knot Tabulation Algorithm. 11. The Pseudocode. 12. The Flowchart. 13. Actual Results
Pt. 3. The Table of Knots.

Edition Notes

Includes bibliographical references (p. 383-387) and index.

Published in
Singapore, River Edge, NJ
Series
K & E series on knots and everything ;, v. 20

Classifications

Dewey Decimal Class
514/.224
Library of Congress
QA612.2 .A64 1999

The Physical Object

Pagination
x, 396 p. :
Number of pages
396

ID Numbers

Open Library
OL3700966M
Internet Archive
mysteryknotscomp00anez
ISBN 10
9810238789
LCCN
2003266974
OCLC/WorldCat
43517217
Goodreads
1439260

Source records

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Internet Archive item record
Internet Archive item record
Library of Congress MARC record
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Download catalog record: RDF / JSON
December 5, 2010 Edited by Open Library Bot Added subjects from MARC records.
April 28, 2010 Edited by Open Library Bot Linked existing covers to the work.
December 10, 2009 Created by WorkBot add works page