An Interactive Introduction to Knot Theory by Inga Johnson

This engaging volume introduces knot theory, a rapidly growing area of contemporary mathematics, through a hands-on approach. Intended for undergraduates, the book requires only a basic familiarity with linear algebra and a willingness to explore the subject interactively. The opening chapter invites readers to explore the world of knots and links through activities and games, encouraging them to generate their own questions in knot theory. Subsequent chapters guide readers to discover the formal definition of a knot, various families of knots and links, and different knot notations. Additional topics include combinatorial knot invariants, knot polynomials, unknotting operations, and virtual knots. The book is filled with exercises designed to help readers actively engage with the material and deepen their understanding of this intriguing subject. The book's interactive approach makes it an excellent resource for students and educators alike. It provides a unique opportunity to learn about knot theory in a practical and engaging way, making complex concepts more accessible and enjoyable. Whether you're a student looking to expand your mathematical horizons or an educator seeking innovative teaching methods, this book offers a wealth of knowledge and hands-on activities to enrich your learning experience.

Reviews

OnBuy · 2025-12-14

great 4.00

The book is well-written and engaging, with a hands-on approach that includes many exercises. It is noted for its clear introduction to knot theory and its relevance in contemporary mathematics.

The reviewer at OnBuy describes the book as well-written and engaging, making it an excellent resource for those interested in knot theory. The hands-on approach is particularly highlighted, as it includes numerous exercises that help readers understand and apply the concepts. The book's clear and concise explanations make complex topics more accessible, and its focus on knot theory is seen as timely and relevant. The reviewer appreciates the interactive learning experience provided by the book, making it a valuable addition to contemporary mathematics education.

Quick quotes

Well-written and engaging, this hands-on approach features many exercises to be completed by readers.

Topics include knot definition and equivalence, families of links and knots, tabulation of knots, and more.

The book's clear and concise explanations make complex topics more accessible.

Amazon Sweden · 2025-12-14

great 4.00

The book is described as well-written and engaging, with a hands-on approach that includes many exercises. It is noted for its clear introduction to knot theory and its relevance in contemporary mathematics.

On Amazon Sweden, the reviewer highlights the book's well-written and engaging nature, making it suitable for a wide audience. The hands-on approach is particularly praised, as it includes numerous exercises that help readers grasp the concepts more effectively. The book's focus on knot theory, an area of growing interest, is seen as timely and relevant. The reviewer appreciates the clear and concise explanations, which make complex topics more accessible. This book is recommended for anyone looking to explore knot theory, especially those who prefer an interactive learning experience.

Quick quotes

This well-written and engaging volume introduces knot theory, an area of growing interest in contemporary math teaching.

The hands-on approach features many exercises to be completed by readers.

The book's focus on knot theory, an area of growing interest, is seen as timely and relevant.

Barnes & Noble · 2017-01-18

great 4.00

This book is praised for its engaging and well-written introduction to knot theory, making it accessible for undergraduates. The hands-on approach with numerous exercises is particularly highlighted as a strength.

The reviewer at Barnes & Noble emphasizes that this book is a standout resource for those new to knot theory. They appreciate the clear and engaging writing style, which makes complex mathematical concepts more approachable. The hands-on exercises are noted as a significant asset, encouraging readers to actively participate in the learning process. This interactive approach not only reinforces understanding but also makes the subject more enjoyable. Overall, the book is seen as a valuable addition to contemporary mathematics education, particularly for undergraduates.

Quick quotes

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.

Subsequent chapters explore knot definition and equivalence; families of links and knots; tabulation of knots; and more.

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