Knot Theory and its Applications
(Sprache: Englisch)
Introduces knot theory, providing insights into recent applications in DNA research and graph theory. The book offers fundamental facts about the theory, such as knot diagrams, braid representations, Seifert surfaces, tangles, and Alexander polynomials.
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Introduces knot theory, providing insights into recent applications in DNA research and graph theory. The book offers fundamental facts about the theory, such as knot diagrams, braid representations, Seifert surfaces, tangles, and Alexander polynomials.
Klappentext zu „Knot Theory and its Applications “
This book introduces the study of knots, providing insights into recent applications in DNA research and graph theory. It sets forth fundamental facts such as knot diagrams, braid representations, Seifert surfaces, tangles, and Alexander polynomials. It also covers more recent developments and special topics, such as chord diagrams and covering spaces. The author avoids advanced mathematical terminology and intricate techniques in algebraic topology and group theory. Numerous diagrams and exercises help readers understand and apply the theory. Each chapter includes a supplement with interesting historical and mathematical comments.
Inhaltsverzeichnis zu „Knot Theory and its Applications “
Fundamental Concepts of Knot Theory.- Knot Tables.- Fundamental Problems of Knot Theory.- Classical Knot Invariants.- Seifert Matrices.- Invariants from the Seifert Matrix.- Torus Knots.- Creating Manifolds from Knots.- Tangles and 2-Bridge Knots.- The Theory of Braids.- The Jones Revolution.- Knots via Statistical Mechanics.- Knot Theory in Molecular Biology.- Graph Theory Applied to Chemistry.- Vassiliev Invariants.
Bibliographische Angaben
- Autor: Kunio Murasugi
- 2007, Reprint of the 1996 ed. Softcover reprint of the original 1st ed. 1996, 341 Seiten, Maße: 15,5 x 23,5 cm, Kartoniert (TB), Englisch
- Verlag: Springer
- ISBN-10: 081764718X
- ISBN-13: 9780817647186
- Erscheinungsdatum: 03.10.2007
Sprache:
Englisch
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