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  Selected Sites   (see also All Sites in this category)

  1. Algebraic Topology - Dave Rusin; The Mathematical Atlas
    A short article designed to provide an introduction to algebraic topology, the study of algebraic objects attached to topological spaces. The algebraic invariants reflect some of the topological structure of the spaces. The use of these algebraic tools calls attention to some types of topological spaces which are well modeled by the algebra; fibre bundles and related spaces are included here... the use of the algebraic tools also calls attention to the aspects of a topological space which are well modeled by the algebra; this gives rise to homotopy theory. The algebraic tools used in topology include various (co)homology theories, homotopy groups, and groups of maps. These in turn have necessitated the development of more complex algebraic tools such as derived functors and spectral sequences. History, applications and related fields and subfields; textbooks, reference works, and tutorials; software and tables; other web sites with this focus. more>>

  2. AT Algebraic Topology (Front for the Mathematics ArXiv) - Univ. of California, Davis
    Algebraic 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>>


 
  All Sites - 28 items found, showing 1 to 28

  1. 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>>

  2. Algebra - University of Wales, Bangor
    A paper describing research interests in algebra at Bangor, which have to a large extent been motivated by problems in algebraic topology and homological algebra. The recent spate of new and exciting concepts (crossed modules, crossed n-cubes, nonabelian ...more>>

  3. Applied and Computational Category Theory at RISC-Linz
    Researchers; research topics; publications; events; e-mails from the Category Theory mailing list maintained and moderated by Bob Roseburgh, sorted by subject; positions announcements disseminated through the Category Theory mailing list; relevant links. ...more>>

  4. 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>>

  5. Categories and Combinatorics Group - Mathematics and Statistics, Univ. of Sydney, Australia
    Category theory is a recent branch of mathematics originating in algebraic topology, but rapidly establishing connections with algebra, logic, algebraic and differential geometry, and most recently computer science. Category theory is particularly suited ...more>>

  6. Centre de Recherche en Théorie des Catégories - Montreal - Department of Mathematics and Statistics, McGill University
    Category Theory Research Center. List of current seminars; past seminars, conferences, and meetings; links to papers and home pages for members (and some past visitors) of the Centre; links to related sites. ...more>>

  7. The Counterexamples in Functional Analysis Home Page - Mohammad Sal Moslehian
    A collection of new and classic examples in functional analysis and operator theory for graduate students, non-specialists and any interested reader. The examples are related to Banach and Hilbert Spaces, Operator Theory, Banach Algebras, Topological ...more>>

  8. Cubic surfaces - MacTutor Math History Archives
    Linked essay on the history of surfaces of order three. ...more>>

  9. A Fair Deal For Housemates - Ivars Peterson (MathTrek)
    Four friends move into a house and find they must choose among four rooms of different size and quality. Instead of sharing the rent equally, they decide to divide the total so that each person ends up satisfied with his or her combination of room and ...more>>

  10. The Fair Division Calculator - Francis Su
    An interactive Java applet designed to help you determine how to divide among n people: a desirable object (such as a cake); an undesirable object (such as a set of chores); or a set of indivisible objects (rooms, desirable) with payments (rent, undesirable). ...more>>

  11. Formulas for fairness - Ivars Peterson - Science News Online
    Applying the math of cake cutting to conflict resolution: researchers turn to the mathematics of cake cutting and point allocation to develop improved methods for people to use to settle disputes. ...more>>

  12. 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>>

  13. The Fundamental Theorem of Algebra - B. Fine, Fairfield Univ., CT; G. Rosenberger, Univ. of Dortmund, Germany
    The Fundamental Theorem of Algebra states that any complex polynomial must have a complex root. This basic result, whose first accepted proof was given by Gauss, lies at the intersection of the theory of numbers and the theory of equations, and arises ...more>>

  14. Graph Theory - Dave Rusin; The Mathematical Atlas
    A short article designed to provide an introduction to graph theory. A graph is a set V of vertices and a set E of edges - pairs of elements of V. This simple definition makes Graph Theory the appropriate language for discussing (binary) relations on ...more>>

  15. Homotopy Groups - Dave Rusin; The Mathematical Atlas
    An introduction to the study of "homotopy continuation methods" in numerical analysis and control, which are essentially unrelated to homotopy theory but rather are more akin to analytic continuation in complex analysis. History, applications and related ...more>>

  16. Homotopy Theory - Dave Rusin; The Mathematical Atlas
    A short article designed to provide an introduction to the study of topological spaces using a broader equivalence than homeomorphism, the natural setting for algebraic topology because the traditional algebraic invariants (fundamental group, etc.) are ...more>>

  17. Hopf Topology Archive - Clarence Wilkerson, Dept. of Mathematics, Purdue University
    The Hopf archive contains freely available articles and preprints as dvi, ps, text, or lj.gz files. Some short abstracts and a search engine are included, as well as pictures of topologists and some useful links concerning topology. ...more>>

  18. John Lott's Home Page - John Lott, Department of Mathematics, University of Michigan
    Lott's research papers, seminar notes, and "officiousness" (CV and bibliography). Download PDFs of journal articles and preprints such as "Notes on Perelman's papers"; "Weak curvature conditions and Poincaré inequalities"; "Ricci curvature for ...more>>

  19. Jon McCammond
    A mathematician at Texas A&M University. Research interests include geometric group theory and low-dimensional topology, as well as combinatorics, graph theory, and computational geometry. Preprints can be downloaded in PostScript format. Current ...more>>

  20. Mathematics Preprints - Mathematics Dept., Penn State University
    Preprints: general (American Mathematical Society Preprints; Hypatia; xxx E-print Archives; and the Front End for the xxx Mathematics Archive), and by subject area. ...more>>

  21. Math WWW VL: Specialized Fields - Dept. of Mathematics, Florida State University
    Links to sites for resources in specialized fields in college-level mathematics. ...more>>

  22. Order - Kluwer Online
    A journal on the theory of ordered sets and its applications. Order occurs throughout mathematics and especially in algebra, combinatorics, geometry, model theory, set theory and topology. ...more>>

  23. Prized Geometric Logic - Ivars Peterson (MathTrek)
    Computer programs can handle all sorts of data [such as] a set of discrete elements, such as temperatures. Some elements of a set may be larger in value than others, or they may exhibit some other relationship that allows you to rank them or put them ...more>>

  24. Ronald Brown's Home Page - Ronald Brown, Department of Mathematics, University of Wales, Bangor (UK)
    An explanatory paper on higher dimensional group theory; Brown's publications list; preprints/reprints (PostScript); articles on popularisation and teaching, such as "What is mathematics?" and "What should be the output of mathematical education?"; course ...more>>

  25. Ross Geoghegan
    A mathematician at the State University of New York at Binghamton interested in topology, geometric group theory, fixed point theory, and dynamics. Curriculum vitae and list of publications (some articles and preprints may be downloaded in PostScript ...more>>

  26. Theory and Applications of Categories (TAC)
    An electronic, refereed journal for articles that significantly advance the study of categorical algebra or methods, or that make significant new contributions to mathematical science using categorical methods. The scope of the journal includes: all areas ...more>>

  27. Topics in Mathematics - Felynx Cougati Project; University of Alberta
    An extensive site in the following topics: Foundational Ideas (Space and Dimension; Sets and Functions); Differential Calculus (Single Variable; Several Variables); Linear Algebra (Vector Spaces; Matrices; Linear Maps; Determinants); Topology (Topological ...more>>

  28. Writings for a General Audience - Marcus Jaiclin
    PDF articles on popular and recreational mathematics by Jaiclin, an Assistant Professor at Westfield State University: Notes on Mathematics of Voting Methods; Fractals, Pascal's Triangle, and the p-adic Numbers; Airplane Passenger Seating Problem; No ...more>>


 
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