Quandles
An Introduction to the Algebra of Knots
Seiten
2015
American Mathematical Society (Verlag)
978-1-4704-2213-4 (ISBN)
American Mathematical Society (Verlag)
978-1-4704-2213-4 (ISBN)
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. Includes elementary self-contained treatments of topics such as group theory, cohomology, knotted surfaces and more.
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.
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.
Mohamed Elhamdadi, University of South Florida, Tampa, FL, USA. Sam Nelson, Claremont McKenna College, CA, USA.
Knots and links
Algebraic structures
Quandles
Quandles and groups
Generalizations of quandles
Enhancements
Generalizd knots and links
Bibliography
Index
Reihe/Serie | Student Mathematical Library |
---|---|
Verlagsort | Providence |
Sprache | englisch |
Maße | 140 x 216 mm |
Gewicht | 304 g |
Themenwelt | Mathematik / Informatik ► Mathematik ► Angewandte Mathematik |
Mathematik / Informatik ► Mathematik ► Geometrie / Topologie | |
ISBN-10 | 1-4704-2213-1 / 1470422131 |
ISBN-13 | 978-1-4704-2213-4 / 9781470422134 |
Zustand | Neuware |
Haben Sie eine Frage zum Produkt? |
Mehr entdecken
aus dem Bereich
aus dem Bereich
Berechnung statisch unbestimmter Tragwerke
Buch | Hardcover (2022)
Hanser (Verlag)
29,99 €
Buch | Hardcover (2024)
Hanser (Verlag)
39,99 €