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Knots, links and their invariants : an elementary course in contemporary knot theory

By: Sosinskiĭ, A. B.
Series: Student mathematical library.Publisher: Providence : American Mathematical Society, 2023Description: xvii,128 p.; ill., 21 cm.ISBN: 978-1-4704-7151-4.Subject(s): Electronic books | Knot theory | Textbooks | Link theory | Boxed knots | Vassiliev invariants | Conway polynomial | Chord diagrams | Braid group | Kauffman bracket | Isotopy invariant | Eight knot | Crossing changes | Kontsevich integral | Prime knots | Link diagram | Torus knot | Skein relation | Seifert surface | Reidemeister movesDDC classification: 514.2242 Summary: 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 expositio.
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Books 514.2242 SOS (Browse shelf) Available 034986

Includes bibliographical references and index.

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 expositio.

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