In this book, experts in different fields of mathematics, physics, chemistry and biology present unique forms of knots which satisfy certain preassigned criteria relevant to a given field. They discuss the shapes of knotted magnetic flux lines, the forms of knotted arrangements of bistable chemical systems, the trajectories of knotted solitons, and the shapes of knots which can be tied using the shortest piece of elastic rope with a constant diameter.
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Inside This Book
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First Sentence:
We present here the concept of ideal geometric representations of knots which are defined as minimal length trajectories of uniform diameter tubes forming a given type of knot. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
mean writhe, harmonic knots, knot energy functional, average crossing number, minimal edge number, energy functions for knots, ideal geometric representations, knotted solitons, minimal lattice curvature, knot conformations, open thickness, front repulsion, minimal edge index, polygonal thickness, lattice knots, ideal energy function, vortex knots, knotted polymers, writhe values, different knot types, particular knot type, prime knot types, topological knot type, same knot type, gel velocity Key Phrases - Capitalized Phrases (CAPs): (learn more)
Janse van Rensburg, Monte Carlo, Department of Mathematics, Topology Appl, New York, University of Iowa, World Scientific, Fluid Mech, Cambridge University Press, Rawdon Plate, American Mathematical Society, Geometric Topology, Andrzej Stasiak, Knot Theory Ramifications, Vsevolod Katritch, Annals of Math, Differential Geom, University of Illinois, Academic Press, Experimental Math, Jacques Dubochet, Jon Simon, Lord Kelvin, The Knot Book, York University New!
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Front Cover | Front Flap | Table of Contents | First Pages | Back Flap | Back Cover | Surprise Me!
We present here the concept of ideal geometric representations of knots which are defined as minimal length trajectories of uniform diameter tubes forming a given type of knot. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
mean writhe, harmonic knots, knot energy functional, average crossing number, minimal edge number, energy functions for knots, ideal geometric representations, knotted solitons, minimal lattice curvature, knot conformations, open thickness, front repulsion, minimal edge index, polygonal thickness, lattice knots, ideal energy function, vortex knots, knotted polymers, writhe values, different knot types, particular knot type, prime knot types, topological knot type, same knot type, gel velocity Key Phrases - Capitalized Phrases (CAPs): (learn more)
Janse van Rensburg, Monte Carlo, Department of Mathematics, Topology Appl, New York, University of Iowa, World Scientific, Fluid Mech, Cambridge University Press, Rawdon Plate, American Mathematical Society, Geometric Topology, Andrzej Stasiak, Knot Theory Ramifications, Vsevolod Katritch, Annals of Math, Differential Geom, University of Illinois, Academic Press, Experimental Math, Jacques Dubochet, Jon Simon, Lord Kelvin, The Knot Book, York University New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Front Flap | Table of Contents | First Pages | Back Flap | Back Cover | Surprise Me!
Citations (learn more)
This book cites 36
books:
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18
books
cite this book:
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- The Knot Book by Colin Adams on 4 pages
- Knots and Physics by Louis H. Kauffman on 4 pages
- On Knots. (AM-115) by Louis H. Kauffman in Front Matter, page 272, and page 373
- Random Knotting and Linking (Series on Knots and Everything) by B. C.) AMS Special Session on Random Knotting and Linking (1993 : Vancouver in Front Matter, and page 127
- Numerical Recipes: The Art of Scientific Computing by William H. Press on page 51, and page 204
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- Physical and Numerical Models in Knot Theory: Including Applications to The Life Sciences by et al Jorge A. Calvo (Editor) on 12 pages
- Energy of Knots and Conformal Geometry (K & E Series on Knots and Everything, V. 33) by Jun O'Hara in Back Matter (1), Back Matter (2), and Back Matter (3)
- Bit-String Physics: A Finite and Discrete Approach to Natural Philosophy by H. Pierre Noyes in Back Matter
- BIOS: A Study of Creation [With CDROM] (Knots and Everything) by Hector Sabelli in Back Matter
- Mindsteps to the Cosmos (Series on Knots and Everything, 31) by Gerald S. Hawkins in Back Matter
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