A study of braids by Kunio Murasugi, B. Kurpita

By Kunio Murasugi, B. Kurpita

This ebook offers a complete exposition of the idea of braids, starting with the fundamental mathematical definitions and constructions. one of many subject matters defined intimately are: the braid team for varied surfaces; the answer of the note challenge for the braid team; braids within the context of knots and hyperlinks (Alexander's theorem); Markov's theorem and its use in acquiring braid invariants; the relationship among the Platonic solids (regular polyhedra) and braids; using braids within the resolution of algebraic equations. Dirac's challenge and distinct different types of braids termed Mexican plaits are additionally mentioned.
Audience: because the publication is determined by options and strategies from algebra and topology, the authors additionally offer a number of appendices that conceal the mandatory fabric from those branches of arithmetic. for this reason, the publication is on the market not just to mathematicians but additionally to anyone who may have an curiosity within the conception of braids. specifically, as an increasing number of functions of braid conception are came across open air the area of arithmetic, this e-book is perfect for any physicist, chemist or biologist who wish to comprehend the arithmetic of braids.
With its use of diverse figures to give an explanation for in actual fact the maths, and routines to solidify the knowledge, this booklet can also be used as a textbook for a path on knots and braids, or as a supplementary textbook for a path on topology or algebra.

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