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An Introduction to Knot Theory

Door W. B. Raymond Lickorish

Categorie	Algemeen wetenschap
Boeknummer	#342621-ZA27
Titel	An Introduction to Knot Theory
Auteur	Lickorish, W. B. Raymond
Boektype	Gebonden hardcover
Uitgeverij	New York : Springer-Verlag
Jaar van uitgave	1997
ISBN10	038798254X
ISBN13	9780387982540
Taal	Engels
Beschrijving	Original boards, illustrated with numerous equations and diagrams, 8vo. Graduate Texts in Mathematics, 175.
Samenvatting	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 knot... (Lees verder)ting 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.
Pagina's	198
Conditie	Goed — Name in pen on title page.
Prijs	€ 35,00

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