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Table of contents

  1. Front Matter
    Pages i-xxi
  2. Akio Kawauchi
    Pages 1-6
  3. Akio Kawauchi
    Pages 7-19
  4. Akio Kawauchi
    Pages 21-29
  5. Akio Kawauchi
    Pages 31-45
  6. Akio Kawauchi
    Pages 47-60
  7. Akio Kawauchi
    Pages 61-72
  8. Akio Kawauchi
    Pages 73-86
  9. Akio Kawauchi
    Pages 87-98
  10. Akio Kawauchi
    Pages 121-140
  11. Akio Kawauchi
    Pages 141-153
  12. Akio Kawauchi
    Pages 155-169
  13. Akio Kawauchi
    Pages 171-187
  14. Akio Kawauchi
    Pages 189-200
  15. Akio Kawauchi
    Pages 201-208
  16. Akio Kawauchi
    Pages 209-219
  17. Back Matter
    Pages 221-420

About this book

Introduction

Knot theory is a rapidly developing field of research with many applications not only for mathematics. The present volume, written by a well-known specialist, gives a complete survey of knot theory from its very beginnings to today's most recent research results. The topics include Alexander polynomials, Jones type polynomials, and Vassiliev invariants. With its appendix containing many useful tables and an extended list of references with over 3,500 entries it is an indispensable book for everyone concerned with knot theory. The book can serve as an introduction to the field for advanced undergraduate and graduate students. Also researchers working in outside areas such as theoretical physics or molecular biology will benefit from this thorough study which is complemented by many exercises and examples.

Keywords

Algebra Fundamental group Invariant Knotentheorie Manifold Topologie Topology Variable homology mathematics theorem

Authors and affiliations

  • Akio Kawauchi
    • 1
  1. 1.Department of MathematicsOsaka City UniversityOsakaJapan

Bibliographic information