{"product_id":"books-the-calculus-of-braids-by-patrick-dehornoy","title":"The Calculus of Braids","description":"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.","brand":"World of Books ","offers":[{"title":"Default Title","offer_id":54421790032145,"sku":null,"price":0.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9781108925860_9373b9d0-8a44-4956-9198-27b5aecfd8fc.jpg?v=1787587497","url":"https:\/\/www.worldofbooks.com\/products\/books-the-calculus-of-braids-by-patrick-dehornoy","provider":"World of Books ","version":"1.0","type":"link"}