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Sinopsis
A selection of topics which graduate students have found to be a successful introduction to the field, employing three distinct techniques: geometric topology manoeuvres, combinatorics, and algebraic topology. Each topic is developed until significant results are achieved and each chapter ends with exercises and brief accounts of the latest research. What may reasonably be referred to as knot theory has expanded enormously over the last decade and, while the author describes important discoveries throughout the twentieth century, the latest discoveries such as quantum invariants of 3-manifolds as well as generalisations and applications of the Jones polynomial are also included, presented in an easily intelligible style. Readers are assumed to have knowledge of the basic ideas of the fundamental group and simple homology theory, although explanations throughout the text are numerous and well-done. Written by an internationally known expert in the field, this will appeal to graduate students, mathematicians and physicists with a mathematical background wishing to gain new insights in this area.
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This volume is an introduction to mathematical knot theory - the theory of knots and links of simple closed curves in three-dimensional space. It consists of a selection of topics that graduate students have found to be a successful introduction to the field. Three distinct techniques are employed: geometric topology manoeuvres; combinatorics; and algebraic topology. Each topic is developed until significant results are achieved, and chapters end with exercises and brief accounts of state-of-the-art research. What may reasonably be referred to as knot theory has expanded enormously over the last decade, and while the author describes important discoveries from throughout the twentieth century, the latest discoveries such as quantum invariants of 3-manifolds - as well as generalisations and applications of the Jones polynomial - are also included, presented in an easily understandable style. Thus, this constitutes a comprehensive introduction to the field, presenting modern developments in the context of classical material. Readers are assumed to have knowledge of the basic ideas of the fundamental group and simple homology theory, although explanations throughout the text are plentiful and well done. Written by an internationally known expert in the field, this volume will appeal to graduate students, mathematicians, and physicists with a mathematical background who wish to gain new insights in this area.
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An introduction to knot theory. Graduate texts in mathematics; 175
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New York, Springer, 1997
ISBN 10: 038798254X
ISBN 13: 9780387982540
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Librería: Antiquariat Bookfarm, Löbnitz, Alemania
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Hardcover. 201 S. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. Ex-library with stamp and library-signature. GOOD condition, some traces of use. 9780387982540 Sprache: Englisch Gewicht in Gramm: 550. Nº de ref. del artículo: 2516172
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An Introduction to Knot Theory
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New York : Springer-Verlag, 1997
ISBN 10: 038798254X
ISBN 13: 9780387982540
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Condición: Good. Original boards, illustrated with numerous equations and diagrams, 8vo. Graduate Texts in Mathematics, 175.; Name in pen on title page. Nº de ref. del artículo: 342621-ZA27
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An Introduction to Knot Theory.
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New York (u.a.), Springer (Graduate Texts in Mathematics / GTM 175), 1997
ISBN 10: 038798254X
ISBN 13: 9780387982540
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Condición: Sehr gut. Formateinband: Pappband / gebundene Ausgabe X, 201 S. (24 cm) 1. Aufl.; Sehr guter Zustand! Sprache: Englisch Gewicht in Gramm: 600 [Stichwörter: Einführung in die Knotentheorie, Knoten, Topologie, Seifert surfaces and knot factorisation, Geometry of alternating link, The Alexander polynomial, The Conway polynomial, signatures and slice knots, Cyclic branched covers and the Goeritz Matrix, The Arf invariant and Jones polynomial, Manifold invariants from the Jones polynomial, Methods of calculating quantum invariants, Exploring the HOMFLY and Kauffman polynomials etc.]. Nº de ref. del artículo: 60689
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An Introduction to Knot Theory (Graduate Texts in Mathematics, 175)
Librería: Ria Christie Collections, Uxbridge, Reino Unido
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Condición: New. In. Nº de ref. del artículo: ria9780387982540_new
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An Introduction to Knot Theory
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Springer New York Okt 1997, 1997
ISBN 10: 038798254X
ISBN 13: 9780387982540
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Librería: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Alemania
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Buch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This account is an introduction to mathematical knot theory, the theory of knots and links of simple closed curves in three-dimensional space. Knots can be studied at many levels and from many points of view. They can be admired as artifacts of the decorative arts and crafts, or viewed as accessible intimations of a geometrical sophistication that may never be attained. The study of knots can be given some motivation in terms of applications in molecular biology or by reference to paral lels in equilibrium statistical mechanics or quantum field theory. Here, however, knot theory is considered as part of geometric topology. Motivation for such a topological study of knots is meant to come from a curiosity to know how the ge ometry of three-dimensional space can be explored by knotting phenomena using precise mathematics. The aim will be to find invariants that distinguish knots, to investigate geometric properties of knots and to see something of the way they interact with more adventurous three-dimensional topology. The book is based on an expanded version of notes for a course for recent graduates in mathematics given at the University of Cambridge; it is intended for others with a similar level of mathematical understanding. In particular, a knowledge of the very basic ideas of the fundamental group and of a simple homology theory is assumed; it is, after all, more important to know about those topics than about the intricacies of knot theory. 220 pp. Englisch. Nº de ref. del artículo: 9780387982540
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An Introduction to Knot Theory
Impresión bajo demandaLibrería: moluna, Greven, Alemania
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Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. * Written by an internationally acknowledged expert in the field who has won prizes for both exposition and research * Gives a comprehensive introduction to the field, presenting modern developments in the context of classical material * Will appeal to grad. Nº de ref. del artículo: 5913225
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An Introduction to Knot Theory
Publicado por
Springer New York, Springer US, 1997
ISBN 10: 038798254X
ISBN 13: 9780387982540
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Librería: AHA-BUCH GmbH, Einbeck, Alemania
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Buch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - This account is an introduction to mathematical knot theory, the theory of knots and links of simple closed curves in three-dimensional space. Knots can be studied at many levels and from many points of view. They can be admired as artifacts of the decorative arts and crafts, or viewed as accessible intimations of a geometrical sophistication that may never be attained. The study of knots can be given some motivation in terms of applications in molecular biology or by reference to paral lels in equilibrium statistical mechanics or quantum field theory. Here, however, knot theory is considered as part of geometric topology. Motivation for such a topological study of knots is meant to come from a curiosity to know how the ge ometry of three-dimensional space can be explored by knotting phenomena using precise mathematics. The aim will be to find invariants that distinguish knots, to investigate geometric properties of knots and to see something of the way they interact with more adventurous three-dimensional topology. The book is based on an expanded version of notes for a course for recent graduates in mathematics given at the University of Cambridge; it is intended for others with a similar level of mathematical understanding. In particular, a knowledge of the very basic ideas of the fundamental group and of a simple homology theory is assumed; it is, after all, more important to know about those topics than about the intricacies of knot theory. Nº de ref. del artículo: 9780387982540
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Introduction to Knot Theory
Librería: GreatBookPricesUK, Woodford Green, Reino Unido
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Condición: New. Nº de ref. del artículo: 672434-n
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An Introduction to Knot Theory
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Springer-Verlag New York Inc., 1997
ISBN 10: 038798254X
ISBN 13: 9780387982540
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Librería: THE SAINT BOOKSTORE, Southport, Reino Unido
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Hardback. Condición: New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days 518. Nº de ref. del artículo: C9780387982540
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Introduction to Knot Theory
Publicado por
Springer New York, 1997
ISBN 10: 038798254X
ISBN 13: 9780387982540
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Condición: Like New. Ships SAME or NEXT business day. We Ship to APO/FPO addr. Choose EXPEDITED shipping and receive in 2-5 business days within the United States. See our member profile for customer support contact info. We have an easy return policy. Nº de ref. del artículo: 53428153
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