{"product_id":"9781108843942","title":"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":"Patrick Dehornoy","offers":[{"title":"Default Title","offer_id":47810366472510,"sku":"9781108843942","price":4329.08,"currency_code":"ZAR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4357\/7662\/products\/9781108843942_2abfec1b-1fe7-42b1-b647-3e7b9a18dc67.jpg?v=1707410839","url":"https:\/\/exclusivebooks.co.za\/products\/9781108843942","provider":"Exclusive Books Online","version":"1.0","type":"link"}