Knot theory / / Charles Livingston [[electronic resource]]

• Autore: Livingston Charles
• Pubblicazione: Washington : , : Mathematical Association of America, , 1993
• Descrizione fisica: 1 online resource (xviii, 240 pages) : digital, PDF file(s)
• Disciplina: 514/.224
• Soggetto topico: Knot theory
• Note generali: Title from publisher's bibliographic system (viewed on 02 Oct 2015).
• Nota di bibliografia: Includes bibliographical references (p. 233-237) and index.
• Nota di contenuto: A century of knot theory -- What is a knot? -- Combinatorial techniques -- Geometric techniques -- Algebraic techniques -- Geometry, algebra, and the Alexander polynomial -- Numerical invariants -- Symmetries of knots -- High-dimensional knot theory -- New combinatorial techniques -- Appendix 1. Knot table -- Appendix 2. Alexander polynomials.
• Sommario/riassunto: 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. Livingston guides you through a general survey of the topic showing how to use the techniques of linear algebra to address some sophisticated problems, 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.
• Titolo autorizzato: Knot theory
• ISBN: 1-61444-023-9
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910821350503321
• Lo trovi qui: Univ. Federico II
• Serie: Carus mathematical monographs ; ; no. 24.