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Knot Projections

Noboru Ito
€63.99
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A01=Noboru Ito
advanced topology textbook
Author_Noboru Ito
Box Rule
Category=PB
Category=PBM
Chord Diagram
Classification Theorem
Connected Sum
Counterclockwise
Double Point
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Finite Sequence
Induction Assumption
invariants in mathematics
knot classification problems
knot theory
mathematical visualization
Nonnegative Integer
Nth Case
Plane Curve
Plane Curves
Regular Homotopy
Reidemeister Moves
Reidemeister torsion
research in knot projection theory
RII
Rotation Number
Seifert Circle
Simple Arcs
Simple Closed Curve
singularity theory
Smooth
Smooth Plane Curves
topological graph theory
Topological Invariant
topological invariants
Trefoil
Trivial Knot
Unavoidable Set

Product details

  • ISBN 9780367658298
  • Weight: 453g
  • Dimensions: 156 x 234mm
  • Publication Date: 30 Sep 2020
  • Publisher: Taylor & Francis Ltd
  • Publication City/Country: GB
  • Product Form: Paperback
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Description

Knot Projections offers a comprehensive overview of the latest methods in the study of this branch of topology, based on current research inspired by Arnold’s theory of plane curves, Viro’s quantization of the Arnold invariant, and Vassiliev’s theory of knots, among others. The presentation exploits the intuitiveness of knot projections to introduce the material to an audience without a prior background in topology, making the book suitable as a useful alternative to standard textbooks on the subject. However, the main aim is to serve as an introduction to an active research subject, and includes many open questions.
About Noboru Ito

Noboru Ito is currently a project researcher at the University of Tokyo, Japan. He was previously an assistant professor and associate professor of Mathematics at the Waseda Institute for Advanced Study, in Tokyo, Japan.

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