Physical and Numerical Models in Knot Theory: Including Applications to the Life Sciences

Jorge Alberto Calvo

ISBN 10: 9812561870 / ISBN 13: 9789812561879

Verlag: World Scientific Publishing Company Sep 2005, 2005

Beschreibung

Neuware - The physical properties of knotted and linked configurations in space have long been of interest to mathematicians. More recently, these properties have become significant to biologists, physicists, and engineers among others. Their depth of importance and breadth of application are now widely appreciated and valuable progress continues to be made each year. This volume presents several contributions from researchers using computers to study problems that would otherwise be intractable. While computations have long been used to analyze problems, formulate conjectures, and search for special structures in knot theory, increased computational power has made them a staple in many facets of the field. The volume also includes contributions concentrating on models researchers use to understand knotting, linking, and entanglement in physical and biological systems. Topics include properties of knot invariants, knot tabulation, studies of hyperbolic structures, knot energies, the exploration.

Bestandsnummer des Verkäufers 9789812561879

Bibliografische Details

• Titel: Physical and Numerical Models in Knot Theory: Including Applications to the Life Sciences
• Verlag: World Scientific Publishing Company Sep 2005
• Erscheinungsjahr: 2005
• Sprache: Englisch
• ISBN-10: 9812561870
• ISBN-13: 9789812561879
• Einband: Buch
• Zustand: Neu
• Abmessungen: 237B x 164 H x 30 T Millimeter Breite: 237 mm, Höhe: 164 mm, Tiefe: 30 mm
• Gewicht: 1061 Gramm

Über diesen Titel

Inhaltsangabe

The physical properties of knotted and linked configurations in space have long been of interest to mathematicians. More recently, these properties have become significant to biologists, physicists, and engineers among others. Their depth of importance and breadth of application are now widely appreciated and valuable progress continues to be made each year.This volume presents several contributions from researchers using computers to study problems that would otherwise be intractable. While computations have long been used to analyze problems, formulate conjectures, and search for special structures in knot theory, increased computational power has made them a staple in many facets of the field. The volume also includes contributions concentrating on models researchers use to understand knotting, linking, and entanglement in physical and biological systems. Topics include properties of knot invariants, knot tabulation, studies of hyperbolic structures, knot energies, the exploration of spaces of knots, knotted umbilical cords, studies of knots in DNA and proteins, and the structure of tight knots. Together, the chapters explore four major themes: physical knot theory, knot theory in the life sciences, computational knot theory, and geometric knot theory.