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...

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Bibliographic Details
Main Author: Sosinskiĭ, A. B. (Author)
Format: Ebook
Language:English
Published: Providence, Rhode Island : American Mathematical Society, [2023]
Series:Student mathematical library
Subjects:
Online Access:Click here to view this book

MARC

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100 1 |a Sosinskiĭ, A. B.,  |q (Alekseĭ Bronislavovich),  |e author. 
245 1 0 |a Knots, links and their invariants :  |b an elementary course in contemporary knot theory /  |c A. B. Sossinsky. 
264 1 |a Providence, Rhode Island :  |b American Mathematical Society,  |c [2023] 
300 |a 1 online resource (xvii, 128 pages) :  |b illustrations. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a Student mathematical library ;  |v volume 101 
504 |a Includes bibliographical references and index. 
520 |a "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."--  |c From publisher's website. 
650 0 |a Knot theory  |v Textbooks.  |9 658400 
650 0 |a Link theory  |v Textbooks. 
776 0 |i Print version:  |a Sosinskiĭ, A. B. (Alekseĭ Bronislavovich)  |t Knots, links and their invariants : an elementary course in contemporary knot theory  |d Providence, Rhode Island : American Mathematical Society, [2023]  |w (DLC) 2022051584  |w (OCoLC)1361694714  |z 9781470473112  |z 9781470471514  |7 p1zm 
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999 |c 1828233  |d 1828233 
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