The Calculus of Braids: An Introduction, and Beyond: 100 (London Mathematical Society Student Texts, Series Number 100) - Hardcover
Book 83 of 83: London Mathematical Society Student Texts
Synopsis
This introduction to braid groups keeps prerequisites to a minimum, while discussing their rich mathematical properties and applications.
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About the Author
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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The Calculus of Braids (Hardcover)
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Hardcover. Condition: new. Hardcover. 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. This introductory book on braid groups and related topics keeps prerequisites to a minimum, with appendices providing a detailed guide to the more advanced notions required. A special emphasis is placed on the algorithmic aspects of braids. A range of exercises allow students to test their knowledge, with solutions available. This item is printed on demand. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9781108843942
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Hardcover. Condition: new. Hardcover. 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. This introductory book on braid groups and related topics keeps prerequisites to a minimum, with appendices providing a detailed guide to the more advanced notions required. A special emphasis is placed on the algorithmic aspects of braids. A range of exercises allow students to test their knowledge, with solutions available. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Seller Inventory # 9781108843942
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The Calculus of Braids: An Introduction, and Beyond: 100 (London Mathematical Society Student Texts, Series Number 100)
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