Calculus of Braids

Häftad, Engelska, 2021

Av Patrick Dehornoy

639 kr

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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.

Produktinformation

  • Utgivningsdatum2021-09-09
  • Mått150 x 230 x 16 mm
  • Vikt400 g
  • FormatHäftad
  • SpråkEngelska
  • SerieLondon Mathematical Society Student Texts
  • Antal sidor220
  • FörlagCambridge University Press
  • ISBN9781108925860