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On Knots. (Am-115), Volume 115
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On Knots. (Am-115), Volume 115 Paperback - 1987

by Louis H. Kauffman


From the publisher

On Knots is a journey through the theory of knots, starting from the simplest combinatorial ideas--ideas arising from the representation of weaving patterns. From this beginning, topological invariants are constructed directly: first linking numbers, then the Conway polynomial and skein theory. This paves the way for later discussion of the recently discovered Jones and generalized polynomials. The central chapter, Chapter Six, is a miscellany of topics and recreations. Here the reader will find the quaternions and the belt trick, a devilish rope trick, Alhambra mosaics, Fibonacci trees, the topology of DNA, and the author's geometric interpretation of the generalized Jones Polynomial.
Then come branched covering spaces, the Alexander polynomial, signature theorems, the work of Casson and Gordon on slice knots, and a chapter on knots and algebraic singularities.The book concludes with an appendix about generalized polynomials.

Details

  • Title On Knots. (Am-115), Volume 115
  • Author Louis H. Kauffman
  • Binding Paperback
  • Edition First Edition
  • Pages 498
  • Volumes 1
  • Language ENG
  • Publisher Princeton University Press, Princeton
  • Date 1987-10-21
  • ISBN 9780691084350 / 0691084351
  • Weight 1.51 lbs (0.68 kg)
  • Dimensions 9.26 x 6.16 x 1.17 in (23.52 x 15.65 x 2.97 cm)
  • Library of Congress Catalog Number 87003195
  • Dewey Decimal Code 514.224
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On Knots: Number 115, Annals of Mathematics Studies
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On Knots: Number 115, Annals of Mathematics Studies

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On Knots. (AM-115), Volume 115
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On Knots. (AM-115), Volume 115

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On Knots. (AM-115)
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On Knots (Annals of Mathematics Studies, Study 115)
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On Knots (Annals of Mathematics Studies, Study 115)

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On Knots
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Princeton Book Company Publishers, 1987. Illustrated. Trade paperback. Very Good. Very good. No dust jacket as issued. Trade paperback (US). Glued binding. 498 p. Contains: Illustrations. Annals of Mathematics Studies (Paperback), 115. Audience: General/trade.
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On Knots : Annals of Mathematics Studies, Number 115
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On Knots : Annals of Mathematics Studies, Number 115

by Kauffman, Louis H.

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Princeton, New Jersey:: Princeton University Press, 1987. 6" wide by 9.25" tall. A bright, clean, tight copy. No store stamp, owner's name or bookplate. No remainder mark. The spine is square and flat with NO creases. Pages are fresh and crisp. No underlining. No highlighting. No margin notes. Illustrated throughout with drawings and diagrams. Bound in the original bright orange printed wraps. Contains a preface, 19 chapters, appendix, tables, bibliographical references. From the preface: "These notes on the theory of knots comprise an expanded version of a seminar held in the Departmento de Geometria y topologia at the Universidad de Zaragoza, Zaragoza, Spain during the winter of 1984... The notes begin with the most elementary concepts of diagram moves and linking numbers. Then they move quickly (perhaps steeply), using minimal technical apparatus to problems of knot cobordism and the Arf invariant (Chapters 1 through 5). Chapter 6 is a miscellany... It contains… Read More
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