Knots, links and their invariants : an elementary course in contemporary knot theory / A. B. Sossinsky.
"This book is an elementary introduction to knot theory. Unlike many other books on knot theory, this book has practically no prerequisites; it requires only basic plane and spatial Euclidean geometry but no knowledge of topology or group theory. It contains the first elementary proof of the ex...
I tiakina i:
| Kaituhi matua: | |
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| Hōputu: | iPukapuka |
| Reo: | English |
| I whakaputaina: |
Providence, Rhode Island :
American Mathematical Society,
[2023]
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| Rangatū: | Student mathematical library
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| Ngā marau: | |
| Urunga tuihono: | Click here to view this book |
| Whakarāpopototanga: | "This book is an elementary introduction to knot theory. Unlike many other books on knot theory, this book has practically no prerequisites; it requires only basic plane and spatial Euclidean geometry but no knowledge of topology or group theory. It contains the first elementary proof of the existence of the Alexander polynomial of a knot or a link based on the Conway axioms, particularly the Conway skein relation. The book also contains an elementary exposition of the Jones polynomial, HOMFLY polynomial and Vassiliev knot invariants constructed using the Kontsevich integral. Additionally, there is a lecture introducing the braid group and shows its connection with knots and links. Other important features of the book are the large number of original illustrations, numerous exercises and the absence of any references in the first eleven lectures. The last two lectures differ from the first eleven: they comprise a sketch of non-elementary topics and a brief history of the subject, including many references."-- |
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| Whakaahuatanga ōkiko: | 1 online resource (xvii, 128 pages) : illustrations. |
| Rārangi puna kōrero: | Includes bibliographical references and index. |
| ISBN: | 9781470473112 1470473119 |