Calculus of Braids

This book explores the mathematical properties and applications of braids, including their algorithmic aspects and calculus of braids. It demonstrates that braids are fascinating objects with rich mathematical properties and potential applications, with prerequisites kept to a minimum and a range of exercises to test the reader's knowledge.

Format: Paperback / softback
Length: 220 pages
Publication date: 09 September 2021
Publisher: Cambridge University Press

Braids, whether crafted from hair, knitting wool, or electrical cables, have captivated the minds of individuals for centuries. While their essence is widely recognized, constructing a comprehensive theory that delves into their intricate mathematical properties and diverse applications remains a challenge. This book aims to shed light on this intriguing subject, showcasing the remarkable response to the question of whether braids can be studied from a mathematical perspective.

Within its pages, readers will discover a wealth of fascinating properties and potential applications of braids. A special emphasis is placed on the algorithmic aspects and the development of what is known as the calculus of braids, particularly the problem of isotopy. Prerequisites are kept to a minimum, allowing for a gradual introduction to advanced concepts such as monoids and group presentations. An appendix at the end of each chapter provides a detailed overview of these notions, ensuring a solid foundation for the reader.

Furthermore, this book includes a comprehensive range of carefully selected exercises designed to test the reader's knowledge and understanding. Each exercise comes with detailed solutions, providing valuable guidance for those seeking to deepen their grasp of the subject matter. Whether you are a student, researcher, or simply a curious mind, this book offers a wealth of insights and opportunities to explore the world of braids through a mathematical lens.

So, embark on this captivating journey and discover the mathematical wonders of braids. Unlock the secrets of their intricate patterns, explore their rich algebraic structures, and envision the endless applications they hold in fields ranging from computer science to physics. With the help of this book, you will be equipped to delve into the world of braids and unlock their full potential.

Weight: 392g
Dimension: 151 x 228 x 21 (mm)
ISBN-13: 9781108925860