The mystery of knots: computer programming for knot tabulation
Gespeichert in:
1. Verfasser: | |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Singapore [u.a.]
World Scient.
1999
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Schriftenreihe: | Serties on knots and everything
20 |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | X, 396 S. graph. Darst. |
Internformat
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Datensatz im Suchindex
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adam_text | K^E SERIES ON KNOTS AND EVEIYTHING * VOL. 20 THE MYSTERY OF KNOTS
COMPUTER PROGRAMMING FOR KNOT TABULATION CHARLLAOS N* ANEZIRIS
BROOKHAVEN NATIONAL LABORATORY USA VFE WORLD SCIENTIFIC »B SINAAOORE*
NEW JERSEV LONDON* SINGAPORE NEW JERSEY * LONDON * HONG KONG CONTENTS
IX INTRODUCTION 1 PART ONE, A KNOT THEORY PRIMER 11 1) A GENERAL
UNDERSTANDING OF TOPOLOGY 13 2) KNOT THEORY AS A BRANCH OF TOPOLOGY 19
3) THE REGULAER PRESENTATIONS OF KNOTS 25 4) THE EQUIVALENCE MOVES 29 5)
THE KNOT INVARIANTS 35 6) ELEMENTS OF GROUP THEORY 43 7) THE FUNDAMENTAL
GROUP 49 8) THE KNOT GROUP 53 9) THE COLORIZATION INVARIANTS 61 10) THE
ALEXANDER POLYNOMIAL 71 11) THE THEORY OF LINEAR HOMOGENEOUS SYSTEMS 75
12) CALCULATING THE ALEXANDER POLYNOMIAL 83 13) THE MINOR ALEXANDER
POLYNOMIALS 91 14) THE MERIDIAN-LONGITUDE INVARIANTS 97 15) PROVING A
KNOT S CHIRALITY 105 16) BRAID THEORY - SKEIN INVARIANTS 113 17)
CALCULATING THE HOMFLYPT POLYNOMIALS 125 18) KNOT THEORY AFTER THE
HOMFLYPT 13 5 PART TWO, THE PROBLEM OF KNOT TABULATION 141 1) BASIC
CONCEPTS OF COMPUTER PROGRAMMING 143 2) THE DOWKER NOTATION 151 3)
DRAWING THE KNOT 155 X THE MYSTERY OF KNOTS 4) WHEN IS A NOTATION
DRAWABLE? 161 5) THE EQUAL DRAWABILITY MOVES 167 6) MULTIPLE NOTATIONS
FOR EQUIVALENT KNOTS 171 7) ORDERING THE DOWKER NOTATIONS 177 8)
CALCULATING THE NOTATION INVARIANTS 181 9) A FEW EXAMPLES 191 10) THE
KNOT TABULATION ALGORITHM 201 11) THE PSEUDOCODE 211 12) THE FLOWCHART
225 13)ACTUALRESULTS 235 PART THREE, THE TABLE OF KNOTS 241 REFERENCES
383 INDEX 389
|
any_adam_object | 1 |
author | Aneziris, Charilaos N. |
author_facet | Aneziris, Charilaos N. |
author_role | aut |
author_sort | Aneziris, Charilaos N. |
author_variant | c n a cn cna |
building | Verbundindex |
bvnumber | BV025255540 |
classification_rvk | SK 350 SK 300 |
ctrlnum | (OCoLC)247810077 (DE-599)BVBBV025255540 |
dewey-full | 514.224 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 514 - Topology |
dewey-raw | 514.224 |
dewey-search | 514.224 |
dewey-sort | 3514.224 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
format | Book |
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indexdate | 2024-07-09T22:29:48Z |
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physical | X, 396 S. graph. Darst. |
publishDate | 1999 |
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series | Serties on knots and everything |
series2 | Serties on knots and everything; 20 |
spelling | Aneziris, Charilaos N. Verfasser aut The mystery of knots computer programming for knot tabulation by Charilaos N. Aneziris Singapore [u.a.] World Scient. 1999 X, 396 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Serties on knots and everything; 20 Serties on knots and everything 20 (DE-604)BV004608347 20 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=019892187&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Aneziris, Charilaos N. The mystery of knots computer programming for knot tabulation Serties on knots and everything |
title | The mystery of knots computer programming for knot tabulation |
title_auth | The mystery of knots computer programming for knot tabulation |
title_exact_search | The mystery of knots computer programming for knot tabulation |
title_full | The mystery of knots computer programming for knot tabulation by Charilaos N. Aneziris |
title_fullStr | The mystery of knots computer programming for knot tabulation by Charilaos N. Aneziris |
title_full_unstemmed | The mystery of knots computer programming for knot tabulation by Charilaos N. Aneziris |
title_short | The mystery of knots |
title_sort | the mystery of knots computer programming for knot tabulation |
title_sub | computer programming for knot tabulation |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=019892187&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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