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A Study of Braids

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Published by Springer Netherlands in Dordrecht .
Written in English

Subjects:

  • Group theory,
  • Computational complexity,
  • Geometry,
  • Mathematics,
  • Cell aggregation,
  • Algebraic topology

Book details:

About the Edition

This book provides a comprehensive exposition of the theory of braids, beginning with the basic mathematical definitions and structures. Among the many topics explained in detail are: the braid group for various surfaces; the solution of the word problem for the braid group; braids in the context of knots and links (Alexander"s theorem); Markov"s theorem and its use in obtaining braid invariants; the connection between the Platonic solids (regular polyhedra) and braids; the use of braids in the solution of algebraic equations. Dirac"s problem and special types of braids termed Mexican plaits are also discussed. Audience: Since the book relies on concepts and techniques from algebra and topology, the authors also provide a couple of appendices that cover the necessary material from these two branches of mathematics. Hence, the book is accessible not only to mathematicians but also to anybody who might have an interest in the theory of braids. In particular, as more and more applications of braid theory are found outside the realm of mathematics, this book is ideal for any physicist, chemist or biologist who would like to understand the mathematics of braids. With its use of numerous figures to explain clearly the mathematics, and exercises to solidify the understanding, this book may also be used as a textbook for a course on knots and braids, or as a supplementary textbook for a course on topology or algebra.

Edition Notes

Statementby Kunio Murasugi, Bohdan I. Kurpita
SeriesMathematics and Its Applications -- 484, Mathematics and Its Applications -- 484
ContributionsKurpita, Bohdan I.
Classifications
LC ClassificationsQA612-612.8
The Physical Object
Format[electronic resource] /
Pagination1 online resource (x, 277 p.)
Number of Pages277
ID Numbers
Open LibraryOL27089993M
ISBN 109048152453, 9401593191
ISBN 109789048152452, 9789401593199
OCLC/WorldCa851370789

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In Chapter 6, we describe the concept of braid equivalence from the topological point of view. This will lead us to a new concept braid homotopy that is discussed fully in the next chapter. As just me. Get this from a library! A study of braids. [Kunio Murasugi; Bohdan I Kurpita] -- This book provides a comprehensive exposition of the theory of braids, beginning with the basic mathematical definitions and structures. Among the many topics explained in detail are: the braid group. You could call it "Braids & More for Dummies." The book is NOT childish or smart-alecky. The scrunchies that are attached to the front of the book are not pretty, but it's a thoughtful Klutz trademark that they usually attach some item related to the book's contents. The book also has very sturdy binding and pages, and it lays flat. Highly /5(). Also, the whole part about the white teacher getting braids done just rubbed me the wrong way - as another reviewer mentioned, the illustration showed more of an afro instead of braids as well. Not a great story, I know Robert Munsch has produce As other reviewers mentioned, I /5.

  Erandi’s Braids is a fictional story about a little girl in the Tarascan Tribe who fears that because of financial stress her mother will make her cut her braids and sell them to the hair merchants for money. Once her and her mother arrives at the barbershop Erandi finds that her mother is actually there to try and sell her own hair.4/5. In Chapter 6, we describe the concept of braid equivalence from the topological point of view. This will lead us to a new concept braid homotopy that is discussed fully in the next chapter. As just mentioned, in Chapter 7, we shall discuss the difference between braid equivalence and braid. Start studying Milady Chapter 18 Study Guide (Braiding and Braid Extensions). Learn vocabulary, terms, and more with flashcards, games, and other study tools. Start studying Chapter Braiding and Braid Extensions - Study Guide. Learn vocabulary, terms, and more with flashcards, games, and other study tools.

  TOP 5 ★ ALL TIME BEST HACKS of for GIRLS ★ AMAZING HAIRSTYLES, Braids, Life & Hair TIPS | Buy A Study of Braids (Mathematics and Its Applications) by Murasugi, Kunio, Kurpita, B. (ISBN: ) from Amazon's Book Store. Everyday low prices and free delivery on eligible orders. The evolution of the braiding angle measured during tensile tests gives understanding of the mechanical behavior of dry braids. Associated with this experimental study, an analytical model is also proposed, to predict the modulus of dry braided reinforcements.   A Study of Braids by Kunio Murasugi, , available at Book Depository with free delivery :