Knots Unravelled is a guide to the fascinating world of knots, from the familiar realm of knotted string to the less familiar branch of mathematics known as knot theory.
Questions like this are easily asked, but finding answers requires more effort. Mathematical ideas help to put the study of knots on a firm footing, and also either answer such questions, or explain why an answer cannot be found. The core chapters of Knots Unravelled lead the reader through this mathematics, from the basics to the frontiers of current work in knot theory.
Between the main chapters, the ‘interludes' reveal some of the rich variety of ways in which knots appear throughout human culture, drawing attention to related mathematics and making connections with other material in the book.
A key feature of the text is the range of tasks and activities for the reader to work through---with string, rope, or pencil and paper to hand! Complete solutions are provided at the back of the book.
The book makes full use of clear diagrams, and a table of knots, a glossary and an index are included.
Sample pages can be seen in the Book Gallery.
Reviews of Knots Unravelled appear in:
“It is a very attractive presentation of elementary knot theory and I shall have no hesitation in recommending it to any beginner wondering how to start thinking about knots.” Raymond Lickorish
In all but the last chapter of the book the mathematical methods involved are not advanced and should be accessible to any enquiring reader, from around age 12 or 13. The final chapter is more demanding, requiring some familiarity with negative powers and the idea of polynomials. Throughout the book the reader is required to follow careful reasoning and some of the ideas are quite sophisticated.
For the teacher, Knots Unravelled is a useful classroom resource, either for individual study, or as the basis for investigative work.
Meike Akveld has taught mathematics at school (for 10 years) and university and currently teaches at ETH Zürich, Switzerland. Andrew Jobbings taught mathematics at secondary school in England (for 28 years) before founding Arbelos.
Both authors first came across mathematical knot theory during their studies in topology, and both are keen to bring mathematics to a wider audience. They met in Minsk in 2009 as part of their voluntary work for the Kangourou sans Frontières.
Interlude Knots in paper
Interlude Celtic knots
Interlude Tie knots
Interlude The figure of eight
Interlude Hunter's bend
Interlude Torus knots
Postlude A special trefoil
Table of knots and links
© A K Jobbings 2004–2018
Clicking a link will scroll the page to the relevant section.
“What a gorgeous book! Congratulations!” Jeffrey WeeksMore testimonials
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Visit the Book Gallery to see a sample page from each chapter.Book Gallery
“Knots Unravelled is a beautiful introduction to the world of knots at a basic level.” EMS Book ReviewMore testimonials
17.0 cm by 24.6 cm
viii + 121
Over 250 high quality black and white
978 0 9555477 2 0
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