Knot theory now plays a large role in modern mathematics. This unparalleled text and reference describes the main concepts of modern knot theory with full proofs accessible to both beginners and professionals alike. It presents both classical and modern knot theory, as well as the most significant results from braid theory, including the full proof of Markov's theorem, and Alexander's and Vogel's algorithms. It includes valuable information on the theory of coding knots by d- diagrams, as well as the author's own results in virtual knot theory. The material is presented at a level suitable for advanced undergraduate students, and the text is ideal for a course on knot theory.

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