Subcategories   (see also All Sites in this category)

Algebraic Topology Knot Theory Topological Groups/Lie Groups

Selected Sites   (see also All Sites in this category)

GN General Topology (Front for the Mathematics ArXiv) - Univ. of California, Davis General Topology preprints, from the U.C. Davis front end for the xxx.lanl.gov e-Print archive, a major site for mathematics preprints that has incorporated many formerly independent specialist archives. Search by keyword or browse by topic. more>> Investigating Patterns: R-U-B-B-E-R Geometry (Topology) - Jill Britton Selected web pages for educators, each leading to recreation-oriented learning experiences for middle school students. Topics include: Topology / Anamorphic Art; Jordan Curves / Mazes / Networks / Map Coloring; Math-e-Magic / Mobius Strip; Flexagons.  more>> The Topological Zoo - The Geometry Center For mathematicians and educators: a visual dictionary of surfaces and other mathematical objects, consisting primarily of movies, still images and interactive pictures. Can be used to complement classroom presentations, research papers and talks. Each object is accompanied by a short description that provides background information and interconnections among the objects in the zoo. Where appropriate, the equations that describe the objects are included. Primarily a reference, not an introduction to topology or other branches of mathematics. An ongoing project at the Geometry Center, the work of graduate students from the the University of Minnesota and undergraduates who participate in the Summer Institute at the Geometry Center. more>> Topology Atlas - Shakhmatov and Watson; York University, Toronto, Ontario, Canada A multi-purpose center for electronic distribution of information related to topology, the mathematical study of surfaces, sometimes called "rubber sheet geometry" because topologists consider geometric figures as though they were drawn on infinitely stretchable rubber sheets. Learn about upcoming conferences, obtain topology proceedings, read lecture notes, and participate in the Topology Q+A Board, which has forums entitled "Ask A Topologist," "Ask An Algebraic Topologist," "Ask An Algebraist," "Ask An Analyst," "Calculus," "Homework Help," and "Research In Topology." more>> Topology - Dave Rusin; The Mathematical Atlas A short article designed to provide an introduction to general topology, the study of sets on which one has a notion of "closeness" - enough to decide which functions defined on it are continuous. Thus it is a kind of generalized geometry (we are still interested in spheres and cubes, for example, but we might consider them to be "the same", yet distinct from a bicycle tire, which has a "hole") or a kind of generalized analysis... More formally, a topological space is a set X on which we have a topology - a collection of subsets of X which we call the "open" subsets of X. The only requirements are that both X itself and the empty subset must be among the open sets, that all unions of open sets are open, and that the intersection of two open sets be open. History, applications and related fields and subfields; textbooks, reference works, and tutorials; software and tables; other web sites with this focus. more>> Topology Enters Mathematics - MacTutor Math History Archives Linked essay describing the development of topology as a mathematical discipline from Euler through the early 20th century, including 17 references (books/articles). more>>

All Sites - 208 items found, showing 1 to 50

1991 Mathematics Subject Classification (MSC) - Chris Eilbeck; Heriot-Watt University, Edinburgh A hypertext version of the 1991 MSC. The main purpose of the classification is to help readers to find the items of present or potential interest to them as readily as possible - in MR, in Zbl, or anywhere else where this classification system is used. ...more>> 3D Modeling, Fabrication and Illustration - Tom Longtin Mathematically based models and examples of creating accurate patterns for non-convex polyhedra when material thickness is a concern. Links to illustrations of: Stained Glass Prototypes; VRML; Tensegrity Structures; Oc-Tet Truss Space Frames; Mechanical ...more>> 3D Nauta A three-dimensional spatial, topological problem/game with Web interfaces in Spanish, French, and English. Of two versions of the game, one is accessible to most people, while the other can be made difficult exponentially. You are invited to order your ...more>> ACME Klein Bottles - Cliff Stoll "Searching for a one-sided surface? Need a zero-volume bottle? Want the ultimate in non-orientability? Get an ACME Klein bottle!" Available in several different models, including classical, Erlenmeyer flask, sliced, spiral, "weirdies," and special designs. ...more>> Adventures in the MathZone - Ivars Peterson (MathTrek) Ivars Peterson and his wife, Nancy Henderson, have written "a book that introduces children to a variety of ideas also of interest to today's mathematicians: knots, map coloring, Möbius strips and topology, prime numbers, chaos, fractals, and more. Our ...more>> Alexandru Suciu - Alexandru I. Suciu Teaching resources such as quizzes, homework assignments, Mathematica solutions, qualifying exams, and syllabi for undergraduate courses in integral calculus, honors calculus, and linear algebra; and for graduate courses in geometry and topology. Also, ...more>> alt.math.undergrad - Math Forum An unmoderated discussion forum for issues and problems pertaining to college undergraduate mathematics. Read and search archived messages; and register to post to the discussions. ...more>> The American Mathematical Monthly (MAA Online) - Roger A. Horn, Ed., Mathematical Association of America (MAA) The Monthly publishes articles, notes, and other features about mathematics and the profession. Its readers include professional mathematicians as well as students of mathematics at all collegiate levels. Authors are invited to submit articles and notes ...more>> arXiv.org e-Print archive - Los Alamos National Laboratory (LANL) A major site for mathematics preprints that has incorporated many formerly independent specialist archives including alg-geom, funct-an, dg-ga, q-alg, auto-fms, cd-hg, MAGNUS, Several Complex Variables, Logic E-prints, Commutative Algebra, Dynamical Systems, ...more>> Bending a Soccer Ball--Mathematically - Michael Trott With the World Cup under way, Michael Trott was asked by American Scientist magazine to help with some graphics to illustrate their feature article, "The Topology and Combinatorics of Soccer Balls," by Dieter Kotschick. Michael explains, "Using various ...more>> Books: Professional & Technical: Professional Science: Mathematics - Amazon.com Browse bestselling math books from the Professional and Technical Bookstore at Amazon.com, in such categories as Applied; Chaos & Systems; Geometry & Topology; Mathematical Analysis; Mathematical Physics; Number Systems; Pure Mathematics; Transformations; ...more>> The Bridges of Königsberg - Isaac Reed This problem inspired the great Swiss mathematician Leonard Euler to create graph theory, which led to the development of topology. ...more>> Calculators On-Line Center: Part II - Mathematics - Martindale's Reference Desk Over 7,420 calculators for: Unit Conversion (Time, Distance, Length, Speed, Weight, etc.); Abacus; Basic Math; Complex Mathematics; Complex Math Education; Complex Math Calculators by Specialty: Algebra and Linear Algebra; Algorithms; Calculus; Central ...more>> Carl Eberhart Class information and/ or Maple worksheets for courses including multi-variable calculus, linear algebra, linear programming, differential equations, numerical methods, and topics for mathematics teachers, as well as Maple and C++ programs for a course ...more>> Cellular Automata Miscellanea - José Manuel Gómez Soto Cellular automata theses, reports of summer research, working papers, lectures, and articles, some in Spanish, many by Harold V. McIntosh. Also, download the CAM/PC exerciser CAMEX and a program collection of NXLCAU, the Linear Cellular Automata for NeXTSTEP. ...more>> The Chaos Hypertextbook: Mathematics in the Age of the Computer - Glenn Elert Formerly titled "Chaos, Fractals, Dimension": an illustrated paper submitted for the author's M.S. in secondary science education from Columbia. Contains chapters on: Mathematical Experiments (Iteration and Orbits, Orbit and Bifurcation Diagrams, Universality); ...more>> Chasing Arrows (MatheMUSEments!) - Ivars Peterson (Math Muse for Kids) The reycling symbol looks like three bent arrows chasing each other around a triangular loop. You often find it printed on cardboard cartons, envelopes, greeting cards, packages, and trash containers. It's also an intriguing mathematical object. Imagine ...more>> Circles in the Sky - Ivars Peterson; Science News Online Detecting the shape of the universe: evidence of a finite, multiply connected universe may show up in microwave data from future spacecraft. ...more>> Clickmazes - Gilbert, Mitchell An extensive collection of interactive puzzles and mazes organized in the following categories: Maze gallery; Attic gallery; Maze of Life; HexaRoll; Oskar's four-bit mazes; 2D tilt mazes; Colour-zone mazes; 3D tilt mazes; Tilt puzzles; NEWS and RULES; ...more>> Clocks and Curvature (Geometry and the Imagination) - Conway, Doyle, Gilman, Thurston; The Geometry Center The total curvature of any surface topologically equivalent to the sphere is 4 pi. This can be seen very simply from the definition of the curvature of a region in terms of the angle of rotation when the surface is rolled around on the plane; the only ...more>> Comedy Tonight, Math Style! - Ivars Peterson (MathLand) Edward Burger and Colin Adams aren't yet as well known as such famous comedy teams as Laurel and Hardy... but they are not only performers but also math professors at Williams College in Williamstown, Mass. They bring antic energy, slapstick humor, and ...more>> Computational Science Highlights - National Science Foundation Metacenter: Science Highlights This multimedia collection contains descriptions of some of the 10,000 scientific research projects that have used the resources of National Science Foundation supercomputing centers. The reports range from astronomy to zoology, and include scientific ...more>> Course Project Suggestions (Geometry and the Imagination) - Conway, Doyle, Gilman, Thurston; The Geometry Center An list of suggestions for projects in geometry, topology, symmetry, making geometric solids, calendars, spherical and hyperbolic trigonometry, puzzles, models, etc. Projects were to be exhibited at the Geometry Fair at the end of the course. ...more>> Crystallographic Topology - Johnson, Burnett, Oak Ridge National Laboratory The Topology of Crystallographic Groups and Simple Crystal Structures. A tutorial on some applications of Geometric Topology to Crystallography. The topology of crystallographic groups is approached using orbifolds, and that of simple crystal structures ...more>> Curvature of Surfaces (Geometry and the Imagination) - Conway, Doyle, Gilman, Thurston; The Geometry Center If you take a flat piece of paper and bend it gently, it bends in only one direction at a time. At any point on the paper, you can find at least one direction through which there is a straight line on the surface. You can bend it into a cylinder, or into ...more>> David Royster's Home Page - Dept. of Mathematics, Univ. of North Carolina-Charlotte Research and Scholarly Interests - Papers: Algebraic and Differential Topology; Use of Computer Algebra Systems in Mathematics Education. See also MAED 3103, a course for Secondary School mathematics teachers covering material drawn from Algebra I and ...more>> Division by Zero - Dave Richeson A blog about "math, puzzles, teaching, and academic technology." Posts, which date back to September of 2008 and sometimes introduce original applets, have included "Volumes of n-dimensional balls," "Albrecht Dürer's ruler and compass constructions," ...more>> Draft version of MSC2000 - European Mathematical Society (EMS) The proposed revision of the 1991 Mathematics Subject Classification (MSC), the classification used by the two reviewing journals Mathematical Reviews (MR) and Zentralblatt für Mathematik (Zbl) since the beginning of 1991. MSC2000 is the result of ...more>> EggMath - Bradlow, Sullivan, Levy, UIUC A collection of modules (including many interactive applets) for K12 classrooms, based on the theme of eggs. Topics include: the shape of an egg (addressing symmetry and cross-section, surfaces of revolution, pin and string construction of ellipses, Cartesian ...more>> E-G Models (Electronic Geometry Models) - Michael Joswig, Konrad Polthier A refereed archive of interesting geometric examples and visualizations, open for any geometer to publish new geometric models, or to browse the models for material to be used in education and research. The geometry models cover a broad range of mathematical ...more>> Elsevier Science "Information Provider to the World." Elsevier's mission is "to advance science, technology and medical science by fulfilling, on a sound commercial basis, the communication needs specific to the international community of scientists, engineers and associated ...more>> Exploring Hyperspace with the Geometric Product - Thomas S. Briggs This paper presents an area of higher-dimensional geometry to a general audience. It also highlights areas where new discoveries could be made. This exploration encounters double prisms, the double cylinder, prism cylinder, flat torus, spherical hypercylinder, ...more>> Exploring the Shape of Space - Jeff Weeks; Key Curriculum Press Geometry and cosmology for grades 6-10. Lessons and activities to accompany the computer-animated video The Shape of Space (also available on CD-ROM and based on Jeff Weeks' book by the same name). Each lesson includes teacher notes, blackline master ...more>> Fascinating Flat Facts about Phi - Ron Knott Phi and two-dimensional geometry - constructing the golden section: phi, Phi; Phi and the root-5 rectangle; the shape of a piece of paper; Phi and the pentagon triangles; Penrose tilings; a rectangle/triangle dissection problem; the Golden Spiral; trigonometry ...more>> Fixed Point Theory on the Web - M. A. Khamsi Fixed Point Theory and Applications sites; Mailing List; Conferences: previous and forthcoming; books on fixed point theory; other interesting sites on the Web; bibliography database; abstracts; papers on fixed point theory; general information. ...more>> Flexagon - Magnus Enarsson "A flexagon is a polygon folded from paper with a very remarkable quality: you can turn it inside out to make it reveal hidden surfaces." History, including the original discovery of the tri-hexaflexagon by Arthur H. Stone, as he folded strips of paper ...more>> Flexagon Re'flex'ions Several possibly new trihexaflexagon phenomena are presented, with a wide spectrum of findings including explorations with magic squares, palindromes, and much more. ...more>> Flexagons - Conrad, Hartline Introduction: The story of the Flexagon; Building and Operating the Flexagon; The Covering Space Representation of Flexagon Operation. ...more>> Foundations of Computational Mathematics The FoCM's primary aim is to further the understanding of the deep relationships between mathematical analysis, topology, geometry and algebra and the computational process as they are evolving together with the modern computer. The meetings are unified ...more>> Front for the Mathematics ArXiv - Univ. of California, Davis U.C. Davis front end for the xxx.lanl.gov e-Print archive, a major site for mathematics preprints that has incorporated many formerly independent specialist archives including alg-geom, funct-an, dg-ga, q-alg, auto-fms, cd-hg, MAGNUS, Several Complex ...more>> FTL An online magazine with articles about space, science, and science fiction. Features include a series of humorous articles by Ian Stewart, with topics ranging from lattice polyhedra (and conceptual art) to Diophantine equations (and camels). ...more>> functionspaces - eGroups Subscribe to and join a free discussion about functionspaces and related topics. From eGroups' Math discussion groups. ...more>> The Funnel Cosmology - Vladimir Trifonov; American Mathematical Society (AMS) Haar Measure and Geodesics in Funnel Cosmology - direct computation of the geodesics in the funnel model. Cosmological shape, dark matter, accelerating expansion, etc. ...more>> Future School Developer of educational software, online tutoring, and home schooling courses. Video tutorials. Sample lessons and ordering information available. ...more>> Gallica - Bibliothèque nationale de France Une sélection de documents numérisés qui montrent la diversité des collections manuscrites de la Bibliothèque nationale de France: les oeuvres de Joseph Liouville, Augustin Cauchy, Joseph Fourier, Henri Poincaré, Janos ...more>> Gas, Water, Electricity (Geometry and the Imagination) - Conway, Doyle, Gilman, Thurston; The Geometry Center A diagram shows three houses, each connected to three utilities. Show that it is impossible to rearrange the connections so that they don't intersect each other. Could you do it if the earth were a not a sphere but some other surface? ...more>> General Mathematics, N-Z (Funk & Wagnalls Multimedia Encyclopedia) - Lycos Zone: Mathematics Short articles on basic mathematics, including biographical information about mathematicians, from John Napier to Zeno of Elea. ...more>> Geometric and Solid Modeling - Computer Science Dept., Univ. of North Carolina at Chapel Hill (UNC-CH) One area of focus for the UNC Research Group on Modeling, Physically-Based Simulation and Applications. The field of solid modeling deals with the design and representation of physical objects. The two major representation schemata used in solid modeling ...more>> Geometric Topology (The Geometry Junkyard) - David Eppstein, Theory Group, ICS, UC Irvine An extensive annotated list of links to material in an area of mathematics that concerns the assignment of geometric structures to topological spaces, so that they "look like" geometric spaces. For instance, compact two-dimensional surfaces can have ...more>> Geometry and the Imagination - Conway, Doyle, Gilman, Thurston; The Geometry Center A collection of handouts for a two-week summer workshop entitled 'Geometry and the Imagination', led by John Conway, Peter Doyle, Jane Gilman and Bill Thurston at the Geometry Center in Minneapolis, June 17-28, 1991. The workshop was based on a course ...more>>

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