Geometry.Net - Math_Discover: Knot


Home - Math_Discover - Knot

e99.com Bookstore

Images

Newsgroups

21-40 of 115 Back | 1 | 2 | 3 | 4 | 5 | 6 | Next 20

Knot: more books (100)

Knot Theory by Kurt Reidemeister, 1983-09
Knots and Links (AMS Chelsea Publishing) by Dale Rolfsen, 2003-12
Gauge Fields, Knots, and Gravity (Series on Knots and Everything) by John C. Baez, Javier P. Muniain, 1994-09
Why Knot: An Introduction to the Mathematical Theory of Knots with Tangle (Key Curriculum Press) by Colin Adams, 2008-06-16
Handbook of Knot Theory
Physical and Numerical Models in Knot Theory: Including Applications to The Life Sciences by et al Jorge A. Calvo (Editor), 2005-09
High-dimensional Knot Theory: Algebraic Surgery in Codimension 2 (Springer Monographs in Mathematics) (v. 2) by Andrew Ranicki, 1998-09-18
Braid Group, Knot Theory and Statistical Mechanics (Advanced Series in Mathematical Physics) by C. N. Yang, 1989-03
Entropic Spacetime Theory (K & E Series on Knots and Everything, Vol. 13) by Jack Armel, 1996-12
Knot theory: Proceedings, Plans-sur-Bex, Switzerland, 1977 (Lecture notes in mathematics ; 685)
Functorial Knot Theory : Categories of Tangles, Coherence, Categorical Deformations and Topological Invariants by David N. Yetter, 2001-04
Braid and Knot Theory in Dimension Four by Seiichi Kamada, Seiichi Kamada, 2002-05-01
Knot Theory and Manifolds: Proceedings of a Conference held in Vancouver, Canada, June 2-4, 1983 (Lecture Notes in Mathematics)
Mathematical Theory of Knots and Braids: An Introduction (Mathematics Studies) by Siegfried Moran, 1983-10

lists with details

[hep-th/9905057] Chern-Simons Gauge Theory: Ten Years After
A brief review on the progress made in the study of ChernSimons gauge theory since its relation to knot theory was discovered ten years ago is presented.
http://arxiv.org/abs/hep-th/9905057
NORTHERN REGIONAL MEETING
LMS Northern Regional Meeting and Workshop. University of Liverpool, UK; Meeting 5 June 2002; Workshop 68 June 2002.
http://www.lms.ac.uk/meetings/020605_lpool.html

Extractions: What are the simplest algebraic varieties? The meeting will take place on Wednesday afternoon starting at 3 pm and in the evening (6.30 for 7.00) there will be a reception and dinner for speakers and visitors at Staff House in the University of Liverpool. From Thursday 6 to Saturday 8 June there will be an LMS sponsored workshop on Knot Theory and Algebraic Geometry. This will include two 3-lecture courses suitable for postgraduate students: Other invited speakers for the workshop include L. Chekhov (Steklov Institute), L. Kauffman (University of Illinois), V. Kulikov (Steklov Institute), E. Looijenga (MSRI and Nijmegen), D. Rolfsen (University of British Columbia), M. Scharlemann (University of California). There will be an opportunity for short contributed talks. Some LMS support is available for workshop speakers and U.K. postgraduate students. For further details and to offer a contributed talk or poster contact Professor Peter Giblin (tel: 0151 794 4053/4043, e-mail:
The KnotPlot Site
data only, no pictures); Knot Diagrams from Dowker Codes; Some excellent references on knot theory. Some favourite figures from my
http://www.cs.ubc.ca/nest/imager/contributions/scharein/KnotSquare.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
Oporto Meetings On Geometry, Topology And Physics
Formerly Meetings on knot theory and Physics held annually in Oporto, Portugal to bring together mathematicians and physicists interested in the interrelation between geometry, topology and physics.
http://www.math.ist.utl.pt/~jmourao/om/

Extractions: Oporto Meetings on Geometry, Topology and Physics Oporto Meetings on Geometry, Topology and Physics (formerly known as the Oporto Meetings on Knot Theory and Physics) take place in Oporto, Portugal, every year. The aim of the Oporto meetings is to bring together mathematicians and physicists interested in the inter-relation between geometry, topology and physics and to provide them with a pleasant and informal environment for scientific interchange. Main Page of TQFT Club Free Counter from Counterart
Liverpool Knot Theory Group: Knot Programs
Four programs, each calculating some invariant from a closed braid presentation. Free to download. Pascal.
http://www.liv.ac.uk/~su14/knotprogs.html

Extractions: Queries can be sent by e-mail to morton@liv.ac.uk This list can be found at URL http://www.liv.ac.uk/~su14/knotprogs.html or by following links from http://www.liv.ac.uk/maths/ See also the list of publications of the Liverpool Knot Theory group , where PostScript copies of some recent preprints can be found. There are at present four programs, each calculating some invariant from a closed braid presentation. In each case the major constraint is the number of braid strings; the growth of calculation time with the number of crossings is roughly quadratic, and so typically it is not difficult to deal with braids having about 100 crossings. Three of the programs are in Pascal. In each case the input required is the braid in terms of standard generators, with no separators, for example 123-2-231. The three programs are br9z.p
New Ideas About Knots
New ideas about knots This World Wide Web (WWW) site describes a knot theory novice progressing toward an understanding of knot theory and knot manipulation. The topics at this site include
http://rdre1.inktomi.com/click?u=http://www.cs.uidaho.edu/~casey931/new_knot/ind
WSPC Journals Online
Home Journals by Subject Mathematics JKTR Journal of knot theory and Its Ramifications (JKTR). Journal Archive. *PDF Generated from Scanned Images Vol.
http://www.worldscinet.com/jktr/mkt/archive.shtml

Extractions: Journal of Knot Theory and Its Ramifications (JKTR) Journal Archive *PDF Generated from Scanned Images Vol. 13, No. 2 (Mar 2004) Vol. 13, No. 1 (Feb 2004) Vol. 12, No. 8 (Dec 2003) Vol. 12, No. 7 (Nov 2003) Vol. 12, No. 6 (Sep 2003) Vol. 12, No. 5 (Aug 2003)* Vol. 12, No. 4 (Jun 2003) Vol. 12, No. 3 (May 2003)* Vol. 12, No. 2 (Mar 2003)* Vol. 12, No. 1 (Feb 2003)* Vol. 11, No. 8 (Dec 2002)* Vol. 11, No. 7 (Nov 2002)* Vol. 11, No. 6 (Sep 2002)* Vol. 11, No. 5 (Aug 2002)* Vol. 11, No. 4 (Jun 2002)* Vol. 11, No. 3 (May 2002)* Vol. 11, No. 2 (Mar 2002)* Vol. 11, No. 1 (Feb 2002)* Vol. 10, No. 8 (Dec 2001)* Vol. 10, No. 7 (Nov 2001)* Vol. 10, No. 6 (Sep 2001)* Vol. 10, No. 5 (Aug 2001)* Vol. 10, No. 4 (Jun 2001)* Vol. 10, No. 3 (May 2001)* Vol. 10, No. 2 (Mar 2001)* Vol. 10, No. 1 (Feb 2001)* Vol. 9, No. 8 (Dec 2000)* Vol. 9, No. 7 (Nov 2000)* Vol. 9, No. 6 (Sep 2000)* Vol. 9, No. 5 (Aug 2000)* Vol. 9, No. 4 (Jun 2000)* Vol. 9, No. 3 (May 2000)* Vol. 9, No. 2 (Mar 2000)* Vol. 9, No. 1 (Feb 2000)* Vol. 8, No. 8
ThinkQuest : Library : Knot Theory
knot theory Click to Enter.
http://library.thinkquest.org/12295/

Extractions: Index Math Who knew there was so much to know about mathematical knots? Featuring easy navigation and straightforward menus, this site explores the formulas and factoids associated with the study of topology. While advanced math students will benefit most, the site also includes a glossary and biographies of mathematicians and scientists, handy features for all types of students. Visit Site 1997 ThinkQuest Internet Challenge Languages English Students Jason B. Severn School, Severna Park, MD, United States Stefan Severn School, Severna Park, MD, United States Andrei Severn School, Severna Park, MD, United States Coaches Todd Severn School, Severna Park, MD, United States Todd Severn School, Severna Park, MD, United States Todd Severn School, Severna Park, MD, United States Want to build a ThinkQuest site? The ThinkQuest site above is one of thousands of educational web sites built by students from around the world. Click here to learn how you can build a ThinkQuest site. Privacy Policy
David A. Krebes' Personal Home Page
Includes a thesis work on knot theory and information on schizophrenia.
http://www.telusplanet.net/public/dkrebes

Extractions: David A. Krebes // text for first two pictures I have devoted much of my life to the study of knots . In my Ph.D. thesis (math), I show that a seamless unknotted loop of rope (circle) cannot be twisted in such a way as to intersect the interior of a sphere in the pair of arcs shown in the first picture (this is commonly known as a square knot). Equivalently: If a curve intersects the interior of a sphere in a square knot then it is genuinely knotted (ie. different from a circle). For example in the second picture the loop (follow it around it is indeed a single loop) is knotted: A long rubber band cannot be manipulated into this shape without breaking it and gluing the ends back together. We call this a "topological" property of the square knot because it is a geometric property that is independent of lengths, angles, or rate of curvature (The size of the circle doesn't matter. In fact even an ellipse or a heart shape would do). The field of "algebraic topology", surely one of the greatest achievements of the twentieth century, expresses many such properties in terms of boundaries . Thus to state the result in yet another way: Take a sphere (it could be egg-shaped) and a transparent, rubbery disc with a thick blue opaque circumference (boundary) and try to manoeuvre it so that the picture inside the sphere (you can't see what the transparent part of the disc is doing) is exactly (in a topological sense) as shown in the first picture, ie. a square knot. You will not succeed. However, even after you have tried many times and gained considerable experience with any of these variations of the problem, you must still organize your experience into a mathematical proof before you can conclude with certainty that you didn't stop just one twist and tug too soon!
New Ideas 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.
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
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
Knot Theory
Knots whose ends were glued together and their classification form the subject of a branch of Topology known as the knot theory.
http://www.cut-the-knot.org/do_you_know/knots.shtml

Extractions: Recommend this site Knots... Every one knows from experience how to create a knot. We do this all the time, often unwittingly. Knots whose ends were glued together and their classification form the subject of a branch of Topology known as the Knot Theory. On the left there is a picture of the Left Trefoil knot. On the right there is the Right Trefoil knot. It's impossible to continuously (i.e. stretching and twisting but without causing damage to either of them) deform one into another. However, it must be noted that the two knots are topologically equivalent in the sense that there exists a topological transformation that maps one into another. The knots are mirror reflections of each other. In the real world, it can be argued that mirror reflections are only mental images whose existence is entirely different from that of the objects whose reflections they are. In Mathematics, reflections are as real as the objects themselves. Mathematically, reflections are topological transformations that could not be carried out on the real world objects. But
ThinkQuest : Library : Knot Theory
A brief article on the HOMFLY polynomial and how it is calculated.
http://library.thinkquest.org/12295/data/Invariants/Articles/HOMFLY.html

Extractions: Index Math Who knew there was so much to know about mathematical knots? Featuring easy navigation and straightforward menus, this site explores the formulas and factoids associated with the study of topology. While advanced math students will benefit most, the site also includes a glossary and biographies of mathematicians and scientists, handy features for all types of students. Visit Site 1997 ThinkQuest Internet Challenge Languages English Students Jason B. Severn School, Severna Park, MD, United States Stefan Severn School, Severna Park, MD, United States Andrei Severn School, Severna Park, MD, United States Coaches Todd Severn School, Severna Park, MD, United States Todd Severn School, Severna Park, MD, United States Todd Severn School, Severna Park, MD, United States Want to build a ThinkQuest site? The ThinkQuest site above is one of thousands of educational web sites built by students from around the world. Click here to learn how you can build a ThinkQuest site. Privacy Policy
History Of Knot Theory
HISTORY 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
Knot Theory
knot theory. The use audience. One favorite is The Knot Book by Colin Adams. This is listed in a bibilography of knot theory. Now
http://grail.cba.csuohio.edu/~somos/knots.html

Extractions: The use of knots goes back to pre-history, but the mathematical study of knots goes back only to the 19th century. Some of the early investigators were Gauss, Listing, Kirkman, Tait, and Little. Due to connections with applied fields like physics and biology there is increased research today. For examples look at the Titles in Series on Knots and Everything edited by Louis H. Kauffman . There are books which explain the topic for a more popular audience. One favorite is The Knot Book by Colin Adams. This is listed in a bibilography of knot theory . Now I prefer Knots: Mathematics With A Twist by Alexei Sossinsky (translation published 2002) which is more elementary and interesting. The story behind Making a Mathematical Exhbition by Ronald Brown and Tim Porter describes some of the issues involved in presenting knot theory. There are web sites which you can visit to find out more. You can start with the Mega-Math section on knots. Then switch to the KnotPlot site for great color graphics. A less ambitious site is Geometry and the Imagination section on knot notation.
A London Mathematical Society Meeting And Workshop
London Mathematical Society Meeting and Workshop. University of Liverpool, UK; 58 June 2002.
http://www.liv.ac.uk/~pjgiblin/LMSJune02/

Extractions: KNOT THEORY, ALGEBRAIC GEOMETRY AND RELATED TOPICS University of Liverpool, Wednesday 5 June 2002 (LMS Meeting) Thursday 6 - Saturday 8 June 2002 (LMS Workshop) Organising Committee: Hugh Morton, Peter Newstead, Peter Giblin Note that both talks on Wednesday are intended for a general mathematical audience 3.00 LMS Business 3.15 Professor Lou Kauffman (University of Illinois at Chicago): Classifying and applying rational tangles and knots Abstract 4.15 Tea What are the simplest algebraic varieties? Abstract 6.30 for 7 Dinner at Staff House in the University of Liverpool. (The cost for those not being supported by the LMS will be about £18 excluding drinks.) then please send an email to pjgiblin@liv.ac.uk stating whether you wish to attend the dinner in the evening (cost about 18 pounds excluding drinks). See below for travel subsidies for LMS members attending the meeting. Changes will be posted from time to time Two 3-lecture courses suitable for postgraduate students: Dr Stavros Garoufalidis (Warwick): The geometry of the Jones ploynomial.
The Knot Theory MA3F2 Page
The knot theory MA3F2 page. New York W. H. Freeman, 1994. 306p; Livingston, Charles. knot theory Washington, DC Math. Assoc. Amer., 1993.
http://www.maths.warwick.ac.uk/~bjs/MA3F2-page.html

Extractions: Course material Prerequisites Little more than linear algebra plus an ability to visualise objects in 3-dimensions. Some knowledge of groups given by generators and relations, and some basic topology would be helpful. The lectures and mind map that follow (from 2003) will be updated as we go through 2004. Mind map Course structure Lectures Writhe and linking numbers, Reidemeister moves and colouring, Colouring, Splittable links and chess boarding, Quadrilateral decomposition, Application of Cramer's rule, The determinant of a link, The colouring group, The number of colourings, Mirrors and codes, The Alexander polynomial, Knot sums, Bridge number and plats, Daisy chains and braids, Braids and Seifert circles, Alexander's theorem: links to braids, Seifert circles and trees, The bracket polynomial, The Jones polynomial, The skein relations, Alternating links, Span(V) = number of crossings, Tangles, Rational tangles and continued fractions, Tangled DNA, Genus and knot sum, Genus of a numerator
Prof. W.B.R. Lickorish
University of Cambridge. Topology, threedimensional manifolds, knot theory.
http://www.dpmms.cam.ac.uk/site2002/People/lickorish_wbr.html
Liverpool Pure Maths: Knot Theory
knot theory Research Group.
http://www.liv.ac.uk/~su14/knotgroup.html
Maple Application Center
About Us. Press Room. Careers. Contact Us. knot theory, Cool knots drawn using Maple, © Maplesoft, a division of Waterloo Maple Inc. 2004. Privacy Trademarks.
http://www.mapleapps.com/List.asp?CategoryID=14&Category=Knot Theory

21-40 of 115 Back | 1 | 2 | 3 | 4 | 5 | 6 | Next 20