Quandles: An Introduction to the Algebra of Knots

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Quandles: An Introduction to the...

Quandles: An Introduction to the Algebra of Knots

Name: Quandles: An Introduction to the Algebra of Knots
ISBN: 9781470422134

Mohamed Elhamdadi, Sam Nelson

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From prehistory to the present, knots have been used for purposes both artistic and practical. The modern science of Knot Theory has ramifications for biochemistry and mathematical physics and is a rich source of research projects for undergraduate and graduate students and professionals alike. Quandles are essentially knots translated into algebra. This book provides an accessible introduction to quandle theory for readers with a background in linear algebra. Important concepts from topology and abstract algebra motivated by quandle theory are introduced along the way. With elementary self-contained treatments of topics such as group theory, cohomology, knotted surfaces and more, this book is perfect for a transition course, an upper-division mathematics elective, preparation for research in knot theory, and any reader interested in knots.

Κατηγορίες:

Mathematics

Έτος:

2015

Εκδότης:

American Mathematical Society

Γλώσσα:

english

Σελίδες:

245

ISBN 10:

1470422131