Knot Theory and Its Applications

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  • Knot Theory and Its Applications Book Detail

  • Author : Kunio Murasugi
  • Release Date : 2009-12-29
  • Publisher : Springer Science & Business Media
  • Genre : Mathematics
  • Pages : 348
  • ISBN 13 : 0817647198
  • File Size : 64,64 MB

Knot Theory and Its Applications by Kunio Murasugi PDF Summary

Book Description: This book introduces the study of knots, providing insights into recent applications in DNA research and graph theory. It sets forth fundamental facts such as knot diagrams, braid representations, Seifert surfaces, tangles, and Alexander polynomials. It also covers more recent developments and special topics, such as chord diagrams and covering spaces. The author avoids advanced mathematical terminology and intricate techniques in algebraic topology and group theory. Numerous diagrams and exercises help readers understand and apply the theory. Each chapter includes a supplement with interesting historical and mathematical comments.

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The present volume grew out of the Heidelberg Knot Theory Semester, organized by the editors in winter 2008/09 at Heidelberg University. The contributed papers