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Introduction to Knot Theory (Dover Books on Mathematics) - Softcover

 
9780486468945: Introduction to Knot Theory (Dover Books on Mathematics)
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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.

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About the Author:
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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  • PublisherDover Publications
  • Publication date2008
  • ISBN 10 0486468941
  • ISBN 13 9780486468945
  • BindingPaperback
  • Number of pages192
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Other Popular Editions of the Same Title

9780387902722: Introduction to Knot Theory (Graduate Texts in Mathematics)

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ISBN 10:  ISBN 13:  9780387902722
Publisher: Springer, 1984
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9781461299370: Introduction to Knot Theory (Graduate Texts in Mathematics, 57)

Springer, 2011
Softcover

9781461299363: Introduction to Knot Theory

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9783540902720: Introduction to Knot Theory

Spring..., 1977
Hardcover

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Book Description Paperback. Condition: new. Paperback. 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. Appropriate for advanced undergraduates and graduate students, this text by two renowned mathematicians was hailed by the Bulletin of the American Mathematical Society as "a very welcome addition to the mathematical literature." 1963 edition. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780486468945

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