Knot theory
Author(s)
Bibliographic Information
Knot theory
（The Carus mathematical monographs, no. 24）
The Mathematical Association of America, c1993
Available at / 41 libraries
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
dc20:514/l7622070322567
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Note
Includes bibliographical references and index
Description and Table of Contents
Description
Knot Theory, a lively exposition of the mathematics of knotting, will appeal to a diverse audience from the undergraduate seeking experience outside the traditional range of studies to mathematicians wanting a leisurely introduction to the subject. Graduate students beginning a program of advanced study will find a worthwhile overview, and the reader will need no training beyond linear algebra to understand the mathematics presented. The interplay between topology and algebra, known as algebraic topology, arises early in the book, when tools from linear algebra and from basic group theory are introduced to study the properties of knots, including one of mathematics' most beautiful topics, symmetry. The book closes with a discussion of high-dimensional knot theory and a presentation of some of the recent advances in the subject - the Conway, Jones and Kauffman polynomials. A supplementary section presents the fundamental group, which is a centerpiece of algebraic topology.
Table of Contents
- Acknowledgements
- Preface
- 1. A century of knot theory
- 2. What is a knot?
- 3. Combinatorial techniques
- 4. Geometric techniques
- 5. Algebraic techniques
- 6. Geometry, algebra, and the alexander polynomial
- 7. Numerical invariants
- 8. Symmetries of knots
- 9. High-dimensional knot theory
- 10. New combinatorial techniques
- Appendices
- References
- Index.
by "Nielsen BookData"
