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Sosinskiĭ, A. B.

Knots, links and their invariants : an elementary course in contemporary knot theory - Providence : American Mathematical Society, 2023 - xvii,128 p.; ill., 21 cm - Student mathematical library .

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.

ISBN: 978-1-4704-7151-4

Subjects--Topical Terms:
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 moves

Dewey Class. No.: 514.2242 / SOS