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An Introduction to Knot Theory

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Cover of 'An Introduction to Knot Theory'

Table of Contents

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    Book Overview
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    Chapter 1 A Beginning for Knot Theory
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    Chapter 2 Seifert Surfaces and Knot Factorisation
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    Chapter 3 The Jones Polynomial
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    Chapter 4 Geometry of Alternating Links
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    Chapter 5 The Jones Polynomial of an Alternating Link
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    Chapter 6 The Alexander Polynomial
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    Chapter 7 Covering Spaces
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    Chapter 8 The Conway Polynomial, Signatures and Slice Knots
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    Chapter 9 Cyclic Branched Covers and the Goeritz Matrix
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    Chapter 10 The Arf Invariant and the Jones Polynomial
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    Chapter 11 The Fundamental Group
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    Chapter 12 Obtaining 3-Manifolds by Surgery on S 3
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    Chapter 13 3-Manifold Invariants from the Jones Polynomial
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    Chapter 14 Methods for Calculating Quantum Invariants
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    Chapter 15 Generalisations of the Jones Polynomial
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    Chapter 16 Exploring the HOMFLY and Kauffman Polynomials
Attention for Chapter 4: Geometry of Alternating Links
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