Synopsis
The main theme of this book is the mathematical theory of knots and its interaction with the theory of surfaces and of group presentations.
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. Topics 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, this book presents novel challenges to students and other interested readers.
"synopsis" may belong to another edition of this title.
From the Back Cover
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.
"About this title" may belong to another edition of this title.
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Knots and Surfaces (Oxford Science Publications)
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Oxford University Press, 1995
ISBN 10: 0198514905
ISBN 13: 9780198514909
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Knots and Surfaces
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Oxford University Press, 1997
ISBN 10: 0198514905
ISBN 13: 9780198514909
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Knots and Surfaces.
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Oxford University Press, 1996
ISBN 10: 0198514905
ISBN 13: 9780198514909
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Paperback. Condition: Very Good. Series: Oxford Science Publications. xi 284p paperback with green and blue cover, very good condition, binding tight, pages very clean and bright, sharp and clear geometry diagrams throughout, a very good copy Language: English Weight (g): 443. Seller Inventory # 233328
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Knots and Surfaces
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Oxford University Press, Oxford, 1995
ISBN 10: 0198514905
ISBN 13: 9780198514909
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Softcover. Condition: Very Good. 1st Edition. xi + 268 p; many Figures. Seller Inventory # 017428
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Knots and Surfaces.
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Oxford: Oxford University Press (Oxford Science Publications), 1995
ISBN 10: 0198514905
ISBN 13: 9780198514909
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Condition: Gut. Formateinband: Broschierte Ausgabe XI, 268 S. (23 cm) Firrst Paperback-Edition; Buch minimal verlagert; sonst gut und sauber erhalten. Sprache: Englisch Gewicht in Gramm: 550 [Stichwörter: Knoten und Oberflächen]. Seller Inventory # 60094
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Knots and Surfaces (Oxford Science Publications)
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ISBN 10: 0198514905
ISBN 13: 9780198514909
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Knots and Surfaces
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ISBN 10: 0198514905
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Brossura. Testo in inglese / Text in english. Numero di tavole: 0 pp.xi; 268 9780198514909 altezza 24 larghezza 15.6 Esemplare in buone condizioni.Copertina con ingiallimento, tracce di polvere e segni di usura ai bordi e agli angoli. Etichetta adesiva in quarta ed etichetta "Ex-Libris" in seconda. Striatura al dorso.Tagli lievemente ingialliti e con macchie di polvere al taglio superiore.Pagine leggermente ingiallite. Seller Inventory # LISCMA0116709-125996
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KNOTS AND SURFACES (Oxford Science Publications)
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Oxford Univ Press, New York, NY, 1997
ISBN 10: 0198514905
ISBN 13: 9780198514909
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Paperback. Condition: New. First Paperback Edition, First Thus. BRAND NEW Copy. Illustrated green soft cover/NF. First published 1994. A woven theory of knowledge. An excursion in pure mathematics into the artistic, geometric, and interlaced forms of knots. Based on a course given at the Univ College of North Wales, Bangor, on topological spaces and surfaces for 3rd-year undergraduate students. The 12 chapters are: Chapter 1, Knots, Links & Diagrams; 2, Knot & Link Polynomials; 3, Topological Spaces; 4, Surfaces; 5, The Arithmetic of Knots; 6, Presentations of Groups; 7, Graphs & Trees; 8, Alexander Matrices & Alexander Polynomials; 9, The Fundamental Group; 10, Van Kampen's Theorem; 11, Applications of the Van Kampen Theorem; and, 12, Covering Spaces. Fine copy. Seller Inventory # 004530
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Knots and Surfaces (Oxford Science Publications)
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ISBN 10: 0198514905
ISBN 13: 9780198514909
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