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Knot:     more books (100)

Braid Group, Knot Theory and Statistical Mechanics II (Advanced Series in Mathematical Physics) (v. 2) by C. N. Yang, 1994-02 Quantum Groups, Integrable Statistical Models and Knot Theory (Nankai Lectures on Mathematical Physics) by H. J. De Vega, 1993-09 An Index of a Graph With Applications to Knot Theory (Memoirs of the American Mathematical Society) by Kunio Murasugi, Jozef H. Przytycki, 1993-11 Survey on Knot Theory by Akio Kawauchi, 1996-11-08 Linknot: Knot Theory by Computer (Series on Knots and Everything) by Slavik Jablan, Radmila Sazdanovic, 2007-11-16 Knots '90: Proceedings of the International Conference on Knot Theory and Related Topics Held in Osaka (Japan, August 15-19, 1990) Progress in knot theory and related topics (Collection Travaux en cours) Topics in Knot Theory (NATO Science Series C: (closed)) New Developments in the Theory of Knots (Advanced Series in Mathematical Physics) Parametrized Knot Theory (Memoirs of the American Mathematical Society) by Stanley Ocken, 1976-12-31 Geometry from Euclid to Knots by Saul Stahl, 2010-03-18 History and Science of Knots (Series on Knots and Everything) Symmetric Bends: How to Join Two Lengths of Cord (K & E Series on Knots and Everything, Vol. 8) by Roger E. Miles, 1995-09 Random Knotting and Linking (Series on Knots and Everything) by Kenneth C. Millett, B. C.) AMS Special Session on Random Knotting and Linking (1993 : Vancouver, 1994-12

lists with details

41. Classical Knot Theory
    Classical knot theory. Epiphany Term 2003. Lecturer Dr C. Kearton. I shall distribute copies of the lecture notes and problem sheet at the first lecture.  
    http://maths.dur.ac.uk/~dma0ck/gradtop.html
    
    Extractions: I shall distribute copies of the lecture notes and problem sheet at the first lecture. If you want one before that, come and see me. Course material Format Lecture Notes Postscript PDF Problem Sheet Postscript PDF Problem Sheet with (some) solutions Postscript PDF Course Description Postscript PDF Return to page top Return to page top e-mail to me. Durham Pure Mathematics Home page

42. History Of Knot Theory
    Biographies of early knot theorists. Many early papers on knot theory (in pdf format) including papers by Tait, Kirkman, Little and Thomson.  
    http://www.maths.ed.ac.uk/~aar/knots/index.htm
    
    Extractions: Please email to either of us any suggestions of additional material. Links to biographical entries in St. Andrews Mathematics History Archive A.Cayley, On a problem of arrangements, Proc. Royal Soc. Edinburgh, Vol. 9, 98 (1876-7), 338-342 Crum Brown, On a case of interlacing surfaces, Proc. Royal Soc. Edinburgh, Vol. 13, 121 (1885-6), 382-386 M.G.Haseman On knots, with a census of the amphicheirals with twelve crossings Trans. Roy. Soc. Edinburgh, 52 (1917-8), 235-255

43. Links To Low-dimensional Topology: Knot Theory
    knot theory 3manifolds Miscellany. knot theory. Joe Christy lists. The page of the knot theory Group at the Univ. of Liverpool. An  
    http://www.math.unl.edu/~mbritten/ldt/knots.html
    
    Extractions: General Conferences Pages of Links 3-manifolds ... Home pages Joe Christy has put together www.computop.org , to serve as a source for the computational 3-dimensional topology community. The site includes links to downloadable software, and a set of mailing lists. The page of the Knot Theory Group at the Univ. of Liverpool. An introduction to knot theory which seems to be aimed at teachers of mathematics can be found at Los Alamos National Laboratory There is also another knot theory page at the University of British Columbia. Another page , developed from a course for liberal arts students, is at York Univ. A discussion, and several lists, concerning the classification of knots, may be found in Charilaos Aneziris' home page. This table of knots up to nine crossings came from Sean Collom 's home page at Oxford. A collection of pages on Mathematics and Knots at the University of Wales. A huge page of links to pages on knots and knot theory of all kinds. An on knot theory appears in the November 1997 issue of American Scientist A page at the Univ. of Liverpool for accessing preprints on knot theory.

44. Knot Theory -- From MathWorld
    knot theory. The mathematical study of knots. Knot search. Eric W. Weisstein. knot theory. From MathWorldA Wolfram Web Resource. http  
    http://mathworld.wolfram.com/KnotTheory.html
    
    Extractions: Knot Theory The mathematical study of knots . Knot theory considers questions such as the following: Although there has been almost explosive growth in the number of important results proved since the discovery of the Jones polynomial , there are still many "knotty" problems and conjectures whose answers remain unknown. Knot Link search

45. Knot Theory Resources
    knot theory resources. Recommended References. see index for total category for your convenience Best Retirement Spots Teacher  
    http://futuresedge.org/mathematics/Knot_Theory.html

46. Knot Theory
    knot theory. knotting index; knot index; alternating knots; Celtic knots; Hyperbolic knot; Intro to knot theory; knots; knot theory; Forensic knot analysis.  
    http://www-math.cudenver.edu/~jstarret/knots.html
    
    Extractions: We generally think of a link as being a set of interlocking rings, such as a chain, but here we include unlinked sets, and the rings comprising them can be knotted. A periodic orbit of a continuous time dynamical system with two degrees of freedom is a knot since it is a closed loop embedded in three space. A subset of the set of periodic orbits of a system forms a linkin other words, the periodic orbits may be tangled up with each other in complex and interesting ways. Chaotic dynamical systems are especially interesting from a knot theoretic point of view, as they have an infnite set of unstable periodic orbits that may be tangled in a way that includes every possible type of knot. Alexander Polynomial Conway Polynomial Jones Polynomial HOMFLYPT Polynomial Suppose we have chaotic time series data from a black box and we want to determine the equations of the underlying dynamics in the box. We may reconstruct the phase space of the experimental system from its time series by the method of time delay embedding and extract the periodic orbits. With a few periodic orbits in hand, we may be able to characterize the dynamics of the system from the polynomial invariants of the knots and links that are the periodic orbits.

47. The KnotPlot Site
    Has a large number of beautiful graphics of knots created with KnotPlot. Contains an introductory section on mathematical knot theory. KnotPlot software for various platfroms can be downloaded.  
    http://www.cs.ubc.ca/labs/imager/contributions/scharein/KnotPlot.html
    
    Extractions: Here you will find a collection of knots and links, viewed from a (mostly) mathematical perspective. Nearly all of the images here were created with KnotPlot, a fairly elaborate program to visualize and manipulate mathematical knots in three and four dimensions. You can download KnotPlot and try it on your computer (see the link below), but first you may want to look at some of the images in the picture gallery. Also, have a browse through the Guestbook or sign it yourself Check out the mathematical knots M ) page as well to see more knot pictures. Or try some of the following examples to see some knots in a different light. The pages marked with have been updated or created as of 11 Feb 2003. Those marked with an M have at least one MPEG animation. The KnotServer (experimental, still not too useful), : 3D interactive viewer (which can save 3D models). Knots as radiating tubes M More knots as radiating tubes Fancy Knots and Links, together with Antoine's Necklace (a fractal link) Decorative knots: on white on black goth Ashley knots ... Nifty Knots with Fancy Lighting A knot zoo or two , and assortments of torus knots with neat colours knot chains , and knotted graphs More torus knots and links , arranged by crossing number Brunnian Links M Tangle Calculator Examples Linking Spheres in three or more dimensions PDF and PostScript examples Knot Carpets Celtic Knots 3D Stereoscopic Pictures ( page 1 page 2 page 3 page 4 ... Hopf Torus M

48. Mathematics And Knots Exhibition
    High school level introduction to knot theory. Covers colourings, connected sums, torus knots, prime knots and applications of knot theory.  
    http://www.bangor.ac.uk/cpm/exhib/
    
    Extractions: This material may be used freely for educational, artistic and scientific purposes, with acknowledgement, but may not be used for commercial purposes, for profit or in texts without the permission of the publishers. Link to Review of the Exhibition Borrowing the exhibition Why study Mathematics? Studying mathematics at Bangor ... Knots on the web

49. Menasco's Home Page
    Menasco s knot theory Hot List. Check out the following knot theory web sites. KnotPlot. A Circular History of knot theory. Knot Table courtesy of KnotPlot.  
    http://www.math.buffalo.edu/~menasco/knot-theory.html

50. Knot Theory On WWW
    knot theory on WWW. Japanese Books on knot theory. ?. ? , RH.?, RH. ?  
    http://home.hiroshima-u.ac.jp/teragai/knot.html

51. Using Topology To Probe The Hidden Action Of Enzymes
    Describes how knot theory is used to understand the action of enzymes that affect DNA topolgy (in pdf format).  
    http://www.ams.org/notices/199505/sumners.pdf

52. Knot Theory On WWW
    Home, knot theory on WWW, Links to Personal Pages, Profile. knot theory on WWW. knot theory Group Articles and Preprints; Links to webpages related to knot theory;  
    http://home.hiroshima-u.ac.jp/~teragai/knot-e.html

53. Louis H. Kauffman
    A topologist working in knot theory discusses the connection between knot theory and statistical mechanics. Sections on cybernetics and knots, Fourier knots and the author's research papers.  
    http://bilbo.math.uic.edu/~kauffman/
    
    Extractions: Louis H. Kauffman I am visiting this year (until August 31, 2004) at the University of Waterloo and the Perimeter Institute in Waterloo, Canada. In the winter term I am teaching a course on knots and physics at the university. See Winter Course CO739 for a course description and for notes and problems and downloads for the course. In fall 2003 I also taught a course in knot theory. See the fall course page I recently taught Mathematics 300, a course on writing mathematics. See Write Math!

54. DNA AND KNOT THEORY
    Open Directory Science Math Topology knot theory Sections on knot tying, mathematical knot theory, knot art, and knot books. History of knot theory - Biographies of early knot theorists.  
    http://www.tiem.utk.edu/~gross/bioed/webmodules/DNAknot.html
    
    Extractions: DNA AND KNOT THEORY Introduction: DNA is the genetic material of all cells, containing coded information about cellular molecules and processes. DNA consists of two polynucleotide strands twisted around each other in a double helix. The first step in cellular division is to replicate DNA so that copies can be distributed to daughter cells. Additionally, DNA is involved in transcribing proteins that direct cell growth and activities. However, DNA is tightly packed into genes and chromosomes. In order for replication or transcription to take place, DNA must first unpack itself so that it can interact with enzymes. DNA packing can be visualized as two very long strands that have been intertwined millions of times, tied into knots, and subjected to successive coiling. However, replication and transcription are much easier to accomplish if the DNA is neatly arranged rather than tangled up in knots. Enzymes are essential to unpacking DNA. Enzymes act to slice through individual knots and reconnect strands in a more orderly way. Importance: We can gain insight into the unknotting of DNA by using principles of topology. Topologists study the invariant properties of geometric objects, such as knots. Tightly packed DNA in the genes must quickly unknot itself in order for replication or transcription to occur. This is a topological problem.

55. Geometry And The Imagination
    Has a small section on knot theory at an introductory level. Also has sections on orbifolds, polyhedra and topology.  
    http://math.dartmouth.edu/~doyle/docs/gi/gi/gi.html
    
    Extractions: C. Dennis Thron has called attention to the following passage from The Adventure of the Priory School , by Sir Arthur Conan Doyle: `This track, as you perceive, was made by a rider who was going from the direction of the school.' `Or towards it?' `No, no, my dear Watson. The more deeply sunk impression is, of course, the hind wheel, upon which the weight rests. You perceive several places where it has passed across and obliterated the more shallow mark of the front one. It was undoubtedly heading away from the school.' Discuss this passage. Does Holmes know what he's talking about? Try to come up with a method for telling which way a bike has gone by looking at the track it has left. There are all kinds of possibilities here. Which methods do you honestly think will work, and under what conditions? For example, does your method only work if the bike has passed through a patch of wet cement? Would it work for tracks on the beach? Tracks on a patch of dry sidewalk between puddles? Tracks through short, dewy grass? Tracks along a thirty-foot length of brown package-wrapping paper, made by a bike whose tires have been carefully coated with mud, and which has been just ridden long enough before reaching the paper so that the tracks are not appreciably darker at one end of the paper than the other? Try to determine the direction of travel for the idealized bike tracks in Figure Figure 1: Which way did the bicycle go?

56. PlanetMath: Knot Theory
    knot theory, (Topic). knot theory is the study of knots and links. Much of knot theory is devoted to telling when two knot diagrams represent the same link.  
    http://planetmath.org/encyclopedia/KnotTheory.html
    
    Extractions: knot theory (Topic) Knot theory is the study of knots and links Roughly a knot is a simple closed curve in , and two knots are considered equivalent if and only if one can be smoothly deformed into another. This will often be used as a working definition as it is simple and appeals to intuition. Unfortunately this definition can not be taken too seriously because it includes many pathological cases, or wild knots, such as the connected sum of an infinite Links are defined in terms of knots, so once we have a definition for knots we have no trouble defining them. Definition A link is a set of disjoint knots. Each knot is a component of the link. In particular a knot is a link of one component. Luckily the knot theorist is not usually interested in the exact form of a knot or link, but rather the in its

57. Search Results
    Search for papers held at LANL with the word 'knot' in them.  
    http://arXiv.org/find/math/1/fr: knot/0/1/0/past,all/0/1

58. Knots In Vancouver - Workshop In Knot Theory And 3-Manifolds
    Home Page. Featured Speakers. Organizing Committee. Registration. Accommodations. Visitors Info. Participants. Programme. Sponsors. Dale Rolfsen s Page.  
    http://www.pims.math.ca/science/2004/KT3Mwksp/

59. Jorge Pullin
    Quantizing general relativity brings knot theory into quantum gravity. The Jones polynomial is shown to give rise to physical states of quantum gravity. Links to research papers by the author.  
    http://www.phys.lsu.edu/faculty/pullin
    
    Extractions: Research. ... Background. My research interests cover many aspects of gravitational physics, both classical and quantum mechanical. I am currently focusing on two topics: quantum gravity and black hole collisions . You can also get my complete publication list , but if you want to get the latest, go to the Hearne Institute page and click on publications. The explanations that follow are a bit longish, feel free to skip to the next topic if you get bored! I collaborate with Rodolfo Gambini, of the University of the Republic in Montevideo, Uruguay, our collaboration has been going on since 1990. We coauthored a book "Loops, knots, gauge theories and quantum gravity" in 1996 and have published many papers together. We study the quantization of general relativity using canonical methods. There is a small community pursuing this kind of research, which is complementary to the mainstream approach to quantum gravity: string theory. String theorists believe that one cannot quantize general relativity because it is not a fundamental theory and one has to replace it with string theory in order to quantize it. General relativity will be an "effective" "low energy" theory.

60. Professor Lomonaco: Knot Theory References
    knot theory References. Home Page. *** Under Construction ***. Charilaos Aneziris knot theory Primer; Cartoon based on three of Lomonaco s knot theory papers.  
    http://www.cs.umbc.edu/~lomonaco/knot-theory/Knot-Theory.html
    
    Extractions: Home Page *** Under Construction *** Charilaos Aneziris' Knot Theory Primer Cartoon based on three of Lomonaco's knot theory papers. A lecture on knots and electrodynamics by Lomonaco Five Dimensional Knot Theory by Lomonaco ( Figures Viewable in HTML) Rob Scharein's Knot Zoo Foxy Knots , and Knot Table Snapshots from the video "Not Knot" The Geometry Center Archives Images The Journal of Knot Theory and Its Ramifications JKTR Knot Theoretic Thought for the day

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