An Interactive Introduction to Knot Theory
Nonfiction, Science & Nature, Mathematics, Topology, Geometry
| Author: | Inga Johnson, Allison K. Henrich | ISBN: | 9780486818740 |
| Publisher: | Dover Publications | Publication: | January 4, 2017 |
| Imprint: | Dover Publications | Language: | English |
| Author: | Inga Johnson, Allison K. Henrich |
| ISBN: | 9780486818740 |
| Publisher: | Dover Publications |
| Publication: | January 4, 2017 |
| Imprint: | Dover Publications |
| Language: | English |
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.
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.
