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Knot:     more books (100)

An Introduction to Knot Theory (Graduate Texts in Mathematics) by W.B.Raymond Lickorish, 1997-10-03 Knot Theory by Vassily Manturov, 2004-02-24 Why Knot?: An Introduction to the Mathematical Theory of Knots by Colin Adams, 2004-03-29 Knot Theory (Mathematical Association of America Textbooks) by Charles Livingston, 1996-09-05 Introduction to Knot Theory (Dover Books on Mathematics) by Richard H. Crowell, Ralph H. Fox, 2008-09-27 Knots: Mathematics with a Twist by Alexei Sossinsky, 2004-04-15 The Knot Book by Colin Adams, 2004-08-11 On Knots. (AM-115) by Louis H. Kauffman, 1987-10-01 Subfactors and Knots (Cbms Regional Conference Series in Mathematics) by Vaughan F. R. Jones, 1991-11-15 Formal Knot Theory (Dover Books on Mathematics) by Louis H. Kauffman, 2006-07-07 Knots and Links by Peter R. Cromwell, 2004-11-15 Knots and Surfaces: A Guide to Discovering Mathematics (Mathematical World, Vol. 6) by David W. Farmer, Theodore B. Stanford, 1995-11-28 Applications of Knot Theory (Proceedings of Symposia in Applied Mathematics) by Dorothy Buck and Erica Flapan, 2009-05-28 Knot Theory and Its Applications (Modern Birkhäuser Classics) by Kunio Murasugi, 2007-10-03

lists with details

1. Knot Theory Online - The Web Site For Learning More About Mathematical Knot Theo
   knot theory. knot theory is the mathematical study of knots.  
   http://www.freelearning.com/knots
   
   Extractions: Interesting facts, knot-knot jokes, and knotty pictures... Welcome to KT (Knot Theory) Online! This site is designed for mathematics students at the high school and college levels as an introduction to an area of mathematics seldom explored in the typical math classroom - the Theory of Knots. One thing that makes Knot Theory so interesting for mathematicians today is the fact that it's such a "new" topic - Knot Theory is a relatively young field with many opportunities for discovery and exploration by mathematicians young and old. Click below to jump to some of the topics you can learn about at KT Online: A Brief History of Knot Theory - From the mathematical surge of interest in knots a little over a century ago to the recent and exciting application of Knot Theory to DNA and synthetic chemistry, you can get an overview of why knots are such a fascination for scientists and mathematicians alike.

2. Contents
   An Introduction to knot theory. Showing Knot Equivalence. Showing Knot Inequivalence  
   http://www.inst.bnl.gov/~wei/contents.html
   
   Extractions: A Knot Theory Primer This is the latest addition to this online tutorial. Its goal is to extend the discussion from the study of knots to the study of links You may be interested in my published book, The Mystery of Knots Charilaos Aneziris charilaos_aneziris@standardandpoors.com Educational institutions are encouraged to reproduce and distribute these materials for educational use free of charge as long as credit and notification are provided. For any other purpose except educational, such as commercial etc, use of these materials is prohibited without prior written permission.

3. Mathematical Knots
   knot theory is a branch of algebraic topology where one studies what is known as the placement problem, or the embedding  
   http://www.cs.ubc.ca/nest/imager/contributions/scharein/knot-theory/knot-theory.
   
   Extractions: Note: This page is part of the KnotPlot Site, where you'll find many more pictures of knots and links as well as MPEG animations and lots of things to download. Knot theory is a branch of algebraic topology where one studies what is known as the placement problem, or the embedding of one topological space into another. The simplest form of knot theory involves the embedding of the unit circle into three-dimensional space. For the purposes of this document a knot is defined to be a closed piecewise linear curve in three-dimensional Euclidean space R . Two or more knots together are called a link. Thus a mathematical knot is somewhat different from the usual idea of a knot, that is, a piece of string with free ends. The knots studied in knot theory are (almost) always considered to be closed loops. Two knots or links are considered equivalent if one can be smoothly deformed into the other, or equivalently, if there exists a homeomorphism on R which maps the image of the first knot onto the second. Cutting the knot or allowing it to pass through itself are not permitted. In general it is very difficult problem to decide if two given knots are equivalent, and much of knot theory is devoted to developing techniques to aid in answering this question. Knots that are equivalent to polygonal paths in three-dimensional space are called tame.

4. The KnotPlot Site
   knot theory. There is of course an enormous body of work on knot invariants, the 3manifold topology of knot complements,  
   http://www.cs.ubc.ca/nest/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. 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) Knots as radiating tubes M More knots as radiating tubes Fancy Knots and Links, together with Antoine's Necklace (a fractal link) 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 Knots on the Cubic Lattice Hyperbolic knots (3D models added 25 Feb 2003) Symmetric projections of minimal-stick knots Simple interactive knot viewer (randomly chosen knot, requires Java)

5. Ideas, Concepts And Definitions
   An introductory overview of knot theory.Category Science Math Topology knot theoryknot theory. knot theory is the mathematical study of knots. A mathematicalknot play with them. Some important ideas in knot theory.  
   http://www.c3.lanl.gov/mega-math/gloss/knots/knots.html
   
   Extractions: Knot Theory is the mathematical study of knots. A mathematical knot has no loose or dangling ends; the ends are joined to form a single twisted loop. The central problem of knot theory is distinguishing between various knots and classifying them. The best way to learn about knots is to make some knots and play with them. Knot Coloring Puzzles A Table of Knots to Study and Make Untangling the Mathematics of Knots Knots, Links and Other Mathematical Tangles ... Knot Theory and the NCTM Standards

6. New Ideas About KnotsDiscover Links That Describe Basic Knot Theory. Includes Re
   The knot theory MA3F2 page Prerequisites Little more than linear algebra plus an ability to visualise objects in 3dimensions. Some knowledge of groups given by generators and relations, and some basic topology would be helpful.  
   http://www.cs.uidaho.edu/~casey931/new_knot
   
   Extractions: These ideas aren't new to the world, they are new to me (Nancy). They are things that I have discovered since I wrote the basic MegaMath information about knots Recently I've discovered two books about Knot Theory that I can read- without feeling like I had to learn a foreign language and a foreign alphabet. They make me feel perfectly capable of understanding this branch of mathematics. So I have been learning a lot of new things about knot theory. Here are some of my discoveries... Tangled up pictures of tangled up ropes Knot coloring puzzles Knots and counting Pretzel knots

7. The Geometry Junkyard: Knot Theory
   A page of links on geometric questions arising from knot embeddings.Category Science Math Topology knot theoryThe Geometry Junkyard. knot theory. Knots on the Web, P. Suber. Includessections on knot tying and knot art as well as knot theory.  
   http://www.ics.uci.edu/~eppstein/junkyard/knot.html
   
   Extractions: Knot Theory There is of course an enormous body of work on knot invariants, the 3-manifold topology of knot complements , connections between knot theory and statistical mechanics, etc. I am instead interested here primarily in geometric questions arising from knot embeddings. Atlas of oriented knots and links , Corinne Cerf extends previous lists of all small knots and links, to allow each component of the link to be marked by an orientation. Borromean rings don't exist . Geoff Mess relates a proof that the Borromean ring configuration (in which three loops are tangled together but no pair is linked) can not be formed out of circles. Dan Asimov discusses some related higher dimensional questions. Matthew Cook conjectures the converse Are Borromean links so rare? S. Javan relates the history of the links and describes various generalizations with more than three rings. For more history and symbolism of the Borromean rings, see Peter Cromwell's web site . See also Paul Bourke's Borromean rings page A Brunnian link . Cutting any one of five links allows the remaining four to be disconnected from each other, so this is in some sense a generalization of the Borromean rings. However since each pair of links crosses four times, it can't be drawn with circles. Colinear points on knots Greg Kuperberg shows that a non-trivial knot or link in R necessarily has four colinear points.

8. Knots
   Covers techniques of distinguishing knots, types, applications, and Conway notations. Includes illustra Category Science Math Topology knot theoryknot theory. by Rohit Chaudhary. knot theory is a mathematical studyof knots. It is an area of mathematics known as topology.  
   http://www.mapleapps.com/categories/mathematics/Knot theory/html/Knots.htm

9. Liverpool Pure Maths: Knot Theory
   Links to preprints and to programs written in pascal for doing knot calculations.Category Science Math Topology knot theoryPure Mathematics knot theory. knot theory at Liverpool. Members ofthe Research Group. Hugh Morton (email morton@liv.ac.uk) Peter  
   http://www.liv.ac.uk/PureMaths/MIN_SET/CONTENT/RESEARCH_GROUPS/knots.html

10. Liverpool Knot Theory Group: Publication List
    Articles and preprints from 1987 onward. Some are available for download in postscript format.Category Science Math Topology knot theory Research OrientedLiverpool University knot theory Group Articles and Preprints (1987 onwards). J.knot theory Ramif. 1 (1992), 203206. Gzipped PostScript version (42K).  
    http://www.liv.ac.uk/~su14/knotprints.html
    
    Extractions: Articles and Preprints (1987 onwards) Copies of the following papers can be requested by sending e-mail to morton@liv.ac.uk You can download PostScript versions of some of the recent preprints. This list can be found at URL http://www.liv.ac.uk/~su14/knotprints.html or by following links from http://www.liv.ac.uk/maths/ Programs for some knot theory calculations can be found in the list of programs of the Liverpool Knot Theory group You may also enjoy a collection of material on the Borromean Rings H.R.Morton and H.B.Short,

11. Mouse's Knot Theory Home Page
    Introductory level tutorial requiring only a high school mathematics background, some linear algebra Category Science Math Topology knot theoryAn elementary knot theory tutorial with bibliography and links toother resources. knot theory. This page is part of a project for  
    http://yucc.yorku.ca/~mouse/knots/knots.html

12. Applications Of Knot Theory
    Applications of knot theory. The applications of knots themselves are familiar,but what good is knot theory? Back to Mouse's knot theory Home Page.  
    http://yucc.yorku.ca/~mouse/knots/applications.html

13. Knot Theory Online - The Web Site For Learning More About Mathematical Knot Theo
    KT HISTORY History of knot theory. This page is packed with fun and interesting diversionsfor you to enjoy as you learn more about the world of knot theory  
    http://www.freelearning.com/knots/fun.htm
    
    Extractions: Interesting facts, knot-knot jokes, and knotty pictures... "Knotty" Fun for All This page is packed with fun and interesting diversions for you to enjoy as you learn more about the world of Knot Theory: 1) "Cut that out!" - Fun activity with a Moebius strip that becomes one of our knot friends. 2) The Dancing Knot - Test your knot-making skill with this activity. 3) Tangled Hands - Can you make a knot without letting go of the ends of the string? 4) Human Knots - A fun group activity to try with your friends. 5) Knot-knot Joke - A little clean knot humor. "Three strings walk into a bar..." 6) "Links" to Other Great Knot Sites

14. Knot Theory References
    Books and articles about knot theory. The two best books. Livingston, Charles.(1993). knot theory. Washington, DC. Mathematical Association of America.  
    http://www.cs.uidaho.edu/~casey931/new_knot/knbooks.html

15. Journal Of Knot Theory And Its Ramifications (JKTR)
    World Scientific. Connections between knot theory and other aspects of mathematics and natural science .Category Science Math Topology JournalsJournal of knot theory and Its Ramifications intended as a forum for new developmentsin knot theory, particularly developments that create connections between  
    http://www.worldscinet.com/jktr/jktr.shtml
    
    Extractions: Journal of Knot Theory and Its Ramifications (JKTR) This Journal is intended as a forum for new developments in knot theory, particularly developments that create connections between knot theory and other aspects of mathematics and natural science. The stance is interdisciplinary due to the nature of the subject. More Feature Articles (Free Online Sample Issue) Vol. 11, No. 5 (August 2002) Click here to access the full text articles now. A Formula for the Casson Knot Invariant of a 2-Bridge Knot

16. B A Knot Theory Primer
    For an introduction to knot theory, click here. For a presentation of my work,click here. To proceed directly to the results of my work, click here.  
    http://www.inst.bnl.gov/~wei/mypage.html
    
    Extractions: Witten, 1989: Chern-Simons Topological Field Theories. Kreimer, 1994: Feynman Diagrams. Rovelli, Smolin 1988: Exact physical quantum states of the gravitational field correspond one-to-one with knot and link classes. Baxter 1987: The Potts Model. Birman et al: Embeddings of one-dimensional into three-dimensional manifolds. Sumners, 1987: The study of the macromolecules. The study of the DNA. For an introduction to Knot Theory, click here . For a presentation of my work, click here . To proceed directly to the results of my work, click here . To review the table of contents, click here Charilaos Aneziris, charilaos_aneziris@standardandpoors.com Educational institutions are encouraged to reproduce and distribute these materials for educational use free of charge as long as credit and notification are provided. For any other purpose except educational, such as commercial etc, use of these materials is prohibited without prior written permission.

17. Knots On The Web (Peter Suber)
    The most comprehensive collection of knotting resources on the web. Sections on knot tying, mathematical Category Science Math Topology knot theorySections on knot tying, mathematical knot theory, knot art, knot discussionforums, knot software, knot videos, and knot books. knot theory.  
    http://www.earlham.edu/~peters/knotlink.htm
    
    Extractions: Welcome to my collection of knotting resources. My major sections are on Knot Tying Knot Theory , and Knot Art . But knot lovers will understand that these distinctions are artificial. For example, a good practical knot is both a nugget of hard-won technology and a thing of beauty. Decorative knotting can be useful, and in any case requires uncommon dexterity and practical tying ability. Software developed to help mathematical knot theorists has produced some of the most beautiful knot images ever seen. So look at all three sections even if you think your interests are narrow. You might become happily entangled. My fourth section is on Knot Discussion . Use these discussion forums to find answers to your knotting questions and to help others who know less than you do. My fifth section is on Knot Software . You'll be surprised at how knotting software can make it easier for you to learn to tie knots, to explore the mathematical properties of knots, and to create stunning images of knots, including knots never seen on Earth. My sixth section is on Knot Videos . If written instructions and still photos don't explain the intricacies of knotting well enough for you, try some of these videos (or some instructional

18. History Of Knot Theory
    Biographies of early knot theorists. Many early papers on knot theory (in pdf format) including papers Category Science Math Topology knot theoryHISTORY OF knot theory. This 2001. EARLY PAPERS ON knot theory. A.Cayley,On a problem of arrangements, Proc. Royal Soc. Edinburgh, Vol.  
    http://www.maths.ed.ac.uk/~aar/knots/
    
    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

19. Jorge Pullin
    With Gambini we made several discoveries, including the fact that the celebratedJones polynomial of knot theory appeared to solve the quantum Einstein  
    http://www.phys.lsu.edu/faculty/pullin/
    
    Extractions: I recently joined the faculty at LSU, after being on the faculty at Penn State for eight years. This web page is in sort of transition between both places, with some links still pointing back to PSU. Research. Teaching. Service. Honors and awards. ... 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 . 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"

20. Knot Description And Terminology
    Much of the knot theory is concerned with telling which knots are the sameand which of them are different. Some terms used in knot theory.  
    http://www.mapleapps.com/categories/mathematics/Knot theory/html/knotdesc.htm

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