| Knots and Surfaces Revised Edition Contributor(s): Gilbert, N. D. (Author), Porter, T. (Author) |
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ISBN: 0198514905 ISBN-13: 9780198514909 Publisher: Oxford University Press, USA OUR PRICE: $90.25 Product Type: Paperback - Other Formats Published: May 1996 Annotation: The main theme of this book is the mathematical theory of knots and its interaction with the theory of surfaces. Beginning with a simple diagrammatic approach to the study of knots, reflecting the artistic and geometric appeal of interlaced forms, Knots and Surfaces takes the reader through recent advances in our understanding to areas of current research. Included are straightforward introductions to topological spaces, surfaces, the fundamental group, graphs, free groups, and group presentations. These topics combine into a coherent and highly developed theory to explore and explain the accessible and intuitive problems of knots and surfaces. Both as an introduction to several areas of prime importance to the development of pure mathematics today, and as an account of pure mathematics in action in an unusual context, the book presents novel challenges to students and other interested readers. |
| Additional Information |
| BISAC Categories: - Mathematics | Group Theory |
| Dewey: 514.2 |
| Series: Oxford Science Publications |
| Physical Information: 0.72" H x 6.12" W x 9.16" (0.90 lbs) 280 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: This highly readable text details the interaction between the mathematical theory of knots and the theories of surfaces and group presentations. It expertly introduces several topics critical to the development of pure mathematics while providing an account of math in action in an unusual context. Beginning with a simple diagrammatic approach to the study of knots that reflects the artistic and geometric appeal of interlaced forms, Knots and Surfaces takes the reader through recent research advances. Topics include topological spaces, surfaces, the fundamental group, graphs, free groups, and group presentations. The authors skillfully combine these topics to form a coherent and highly developed theory to explore and explain the accessible and intuitive problems of knots and surfaces to students and researchers in mathematics. |