Quandles: An Introduction to the Algebra of Knots
Mohamed Elhamdadi, Sam Nelson
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.
Kategoriler:
Yıl:
2015
Yayımcı:
American Mathematical Society
Dil:
english
Sayfalar:
245
ISBN 10:
1470422131
ISBN 13:
9781470422134
Seriler:
Student Mathematical Library
Dosya:
PDF, 32.84 MB
IPFS:
,
english, 2015
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