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The Calculus of Braids: An Introduction, and Beyond: 100 (London Mathematical Society Student Texts, Series Number 100) - Tapa dura

Libro 83 de 83: London Mathematical Society Student Texts

Dehornoy, Patrick

 
9781108843942: The Calculus of Braids: An Introduction, and Beyond: 100 (London Mathematical Society Student Texts, Series Number 100)
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ISBN 10: 1108843948 ISBN 13: 9781108843942
Editorial: Cambridge University Press, 2021

Sinopsis

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.

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Acerca del autor

Patrick Dehornoy (1952–2019) was Professor Emeritus at Université Caen Normandie, and Senior Member Emeritus of the Institut Universitaire de France. His research focused on set theory, algebra, and topology in small dimensions. He authored close to 100 research articles and eight books.

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Editorial
Cambridge University Press
Año de publicación
2021
Idioma
Inglés
ISBN 10 
1108843948
ISBN 13 
9781108843942
Encuadernación
Tapa dura
Número de páginas
258
Contacto del fabricante
Cambridge University Press
https://www.cambridge.org/

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