Knots and surfaces
著者
書誌事項
Knots and surfaces
(Oxford science publications)
Oxford University Press, 1995
- : pbk
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注記
Bibliography: p. [264]-265
Includes index
内容説明・目次
内容説明
Covering an area of current intense research interest, this book is ideal for all mathematicians, undergraduate or at research level, as an introduction to the field. The book provides a thorough account of the mathematical theory of knots and its interactions with related fields. This new paperback edition places the book within reach of all individuals interested in this new and exciting field.
目次
- 1. Knots, Links, and Diagrams
- 2. Knot and Link Polynomials
- 3. Topological Spaces
- 4. Surfaces
- 5. The Arithmetic of Knots
- 6. Presentations of Groups
- 7. Graphs and Trees
- 8. Alexanders Matrices and Alexander Polynomials
- 9. The Fundamental Group
- 10. Van Kampen's Theorem
- 11. Applications of Van Kampen Theorem
- 12. Covering Spaces
- Bibliography
- Index
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