An Invitation to Knot Theory

Virtual and Classical

Nonfiction, Science & Nature, Mathematics, Recreations & Games, Geometry
Cover of the book An Invitation to Knot Theory by Heather A. Dye, CRC Press
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Heather A. Dye ISBN: 9781315360096
Publisher: CRC Press Publication: September 3, 2018
Imprint: Chapman and Hall/CRC Language: English
Author: Heather A. Dye
ISBN: 9781315360096
Publisher: CRC Press
Publication: September 3, 2018
Imprint: Chapman and Hall/CRC
Language: English

The Only Undergraduate Textbook to Teach Both Classical and Virtual Knot Theory

An Invitation to Knot Theory: Virtual and Classical gives advanced undergraduate students a gentle introduction to the field of virtual knot theory and mathematical research. It provides the foundation for students to research knot theory and read journal articles on their own. Each chapter includes numerous examples, problems, projects, and suggested readings from research papers. The proofs are written as simply as possible using combinatorial approaches, equivalence classes, and linear algebra.

The text begins with an introduction to virtual knots and counted invariants. It then covers the normalized f-polynomial (Jones polynomial) and other skein invariants before discussing algebraic invariants, such as the quandle and biquandle. The book concludes with two applications of virtual knots: textiles and quantum computation.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

The Only Undergraduate Textbook to Teach Both Classical and Virtual Knot Theory

An Invitation to Knot Theory: Virtual and Classical gives advanced undergraduate students a gentle introduction to the field of virtual knot theory and mathematical research. It provides the foundation for students to research knot theory and read journal articles on their own. Each chapter includes numerous examples, problems, projects, and suggested readings from research papers. The proofs are written as simply as possible using combinatorial approaches, equivalence classes, and linear algebra.

The text begins with an introduction to virtual knots and counted invariants. It then covers the normalized f-polynomial (Jones polynomial) and other skein invariants before discussing algebraic invariants, such as the quandle and biquandle. The book concludes with two applications of virtual knots: textiles and quantum computation.

More books from CRC Press

Cover of the book Hydraulics for Operators by Heather A. Dye
Cover of the book Simulation in Aviation Training by Heather A. Dye
Cover of the book Digital Protective Relays by Heather A. Dye
Cover of the book Fingerprinting Techniques in Food Authentication and Traceability by Heather A. Dye
Cover of the book Chemical Reaction Engineering by Heather A. Dye
Cover of the book Graduate Medical Education by Heather A. Dye
Cover of the book Nonnitrogenous Organocatalysis by Heather A. Dye
Cover of the book Environmental Ethics For Engineers by Heather A. Dye
Cover of the book Working Safe by Heather A. Dye
Cover of the book Project Management in Extreme Situations by Heather A. Dye
Cover of the book Climate Change and Sustainable Development by Heather A. Dye
Cover of the book Occupational Health Guide to Violence in the Workplace by Heather A. Dye
Cover of the book Practical Thin-Layer Chromatography by Heather A. Dye
Cover of the book Cytolytic Lymphocytes and Complement Effectors of the Immune System by Heather A. Dye
Cover of the book Design of Electrical Services for Buildings by Heather A. Dye
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy