By Akio Kawauchi

Knot concept is a speedily constructing box of analysis with many functions not just for arithmetic. the current quantity, written through a well known professional, supplies an entire survey of knot concept from its very beginnings to contemporary newest learn effects. the themes comprise Alexander polynomials, Jones sort polynomials, and Vassiliev invariants. With its appendix containing many beneficial tables and a longer record of references with over 3,500 entries it truly is an fundamental booklet for everybody involved in knot idea. The ebook can function an creation to the sector for complicated undergraduate and graduate scholars. additionally researchers operating in outdoor parts resembling theoretical physics or molecular biology will take advantage of this thorough examine that is complemented by way of many workouts and examples.

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**Sample text**

6 A link obtained from two hyperbolic tangles by any tangle sum is hyperbolic. 6. 7 Non-triviality of a link In this section, we discuss some results due to Y. Nakanishi on the non-triviality of a link containing a given tangle. 1 For a non-trivial 2-string tangle (E, t) and two 2-string tangles (A 1,81) and (A 2,82), we assume that the tangle sums (E, t) U

July 2017