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The Calculus of Braids

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Everyone knows what braids are, whether they be made of hair, knitting wool, or electrical cables. However, it is not so evident that we can construct a theory about them, i.e. to elaborate a coherent and mathematically interesting corpus of results concerning them. This book demonstrates that there is a resoundingly positive response to this question: braids are fascinating objects, with a variety of rich mathematical properties and potential applications. A special emphasis is placed on the algorithmic aspects and on what can be called the 'calculus of braids', in particular the problem of isotopy. Prerequisites are kept to a minimum, with most results being established from scratch. An appendix at the end of each chapter gives a detailed introduction to the more advanced notions required, including monoids and group presentations. Also included is a range of carefully selected exercises to help the reader test their knowledge, with solutions available.
Hardback
09-September-2021
$215.41
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Product Details
ISBN-13
9781108843942
Publisher
Cambridge University Press
Published
09-September-2021
Format
Hardback

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$215.41
Ships in 3-5 business days

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Hurry up! Current stock:

The Calculus of Braids

$215.41

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