"Knot theory has proven to be a fascinating area of mathematical research, dating back about 150 years. Encyclopedia of Knot Theory provides short, interconnected articles on a variety of active areas in knot theory, and includes beautiful pictures, deep mathematical connections, and critical applications. Many of the articles in this book are accessible to undergraduates who are working on research or taking an advanced undergraduate course in knot theory. More advanced articles will be useful to graduate students working on a related thesis topic, to researchers in another area of topology who are interested in current results in knot theory, and to scientists who study the topology and geometry of biopolymers. Features Provides material which is useful and accessible to undergraduates, post-graduates, and full-time researchers Topics discussed provide an excellent catalyst for students to explore meaningful research and gain confidence and commitment to pursuing advanced degrees Edited and contributed to by top researchers in the field of Knot Theory"--
Knots are familiar objects. Yet the mathematical theory of knots quickly leads to deep results in topology and geometry. This work offers an introduction to this theory, starting with our understanding of knots.
The book concludes with two applications of virtual knots: textiles and quantum computation.
The present volume, written by a well-known specialist, gives a complete survey of this theory from its very beginnings to today's most recent research results. An indispensable book for everyone concerned with knot theory.
R. Hanaki, Pseudo diagrams of knots, links, and spatial graphs, Osaka J. Math., 47, (2010), 863–883. A. Henrich, A sequence of degree one Vassiliev invariants for virtual knots, J. Knot Theory Ramifications, 19: 4, (2010), 461–487.
Given initial conditions f ( 0 ) = f ' ( 0 ) = li , we find li li 1+ + 1 2 f ( r ) ( coal ( vi ) + 2 sinh ( vi ) = = k1 ( cosh ( rVt ) + 1 t - € -6/2 0 r curved metric on. = liv1 - 7 sinh ( VE ( T – To ) , Vt where ro = arctanh ( VT ) ...
A self-contained comprehensive introduction to the mathematical theory of dynamical systems for students and researchers in mathematics, science and engineering.
... by Philip J. Davis Celestial Mechanics, by Harry Pollard Field Theory and its Classical Problems, by Charles Robert Hadlock The Generalized Riemann Integral, by Robert M. McLeod From Error-Correcting Codes through Sphere Packings to ...
The book covers basic notions in knot theory, as well as new methods for handling open problems such as unknotting number, braid family representatives, invertibility, amphicheirality, undetectability, non-algebraic tangles, polyhedral ...
What else needs to be said about knots? Almost 650 pages of incredible knowledge, presented in a truzly unique manner. This is not a book of knots, it is the BOOK OF KNOTS. Was muss noch über Knoten gesagt werden?
More than half a century has passed since Weyl's 'The Classical Groups' gave a unified picture of invariant theory. This book presents an updated version of this theory together with many of the important recent developments.