Introduction to Knot Theory | 誠品線上

Introduction to Knot Theory

內容簡介

內容簡介 Hailed by the Bulletin of the American Mathematical Society as a very welcome addition to the mathematical literature, this text is appropriate for advanced undergraduates and graduate students. Written by two internationally renowned mathematicians, its accessible treatment requires no previous knowledge of algebraic topology.Starting with basic definitions of knots and knot types, the text proceeds to examinations of fundamental and free groups. A survey of the historic foundation for the notion of group presentation is followed by a careful proof of the theorem of Tietze and several examples of its use. Subsequent chapters explore the calculation of fundamental groups, the presentation of a knot group, the free calculus and the elementary ideals, and the knot polynomials and their characteristic properties. The text concludes with three helpful appendixes and a guide to the literature.

作者介紹

作者介紹 A topologist and the world's foremost knot theorist, the late Ralph H. Fox was on the faculty at Princeton University. The late Richard H. Crowell was a Professor of Mathematics at Dartmouth College.

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