
- 192 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
An Interactive Introduction to Knot Theory
About this book
This well-written and engaging volume, intended for undergraduates, introduces knot theory, an area of growing interest in contemporary mathematics. The hands-on approach features many exercises to be completed by readers. Prerequisites are only a basic familiarity with linear algebra and a willingness to explore the subject in a hands-on manner.
The opening chapter offers activities that explore the world of knots and links — including games with knots — and invites the reader to generate their own questions in knot theory. Subsequent chapters guide the reader to discover the formal definition of a knot, families of knots and links, and various knot notations. Additional topics include combinatorial knot invariants, knot polynomials, unknotting operations, and virtual knots.
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Information
Table of contents
- Cover
- Title
- Copyright
- Contents
- Notes
- 1. Playing & Building Intuition
- 2. Knot Definition & Equivalence
- 3. Families of Links and Braids
- 4. Knot Notation
- 5. Combinatorial Knot Invariants
- 6. Knot Polynomials
- 7. Unknotting Operations & Invariants
- 8. Virtual Knots
- Acknowledgments
- Index
- Bibliography