 Application of Rayleigh's ShortCut Method to Polya's Recurrence Problem [PDF]  Peter Doyle
Doyle's Ph.D. thesis at Dartmouth College, June 1982. The goals of the presentation are to explain why Polya's theorem is true and to develop techniques for applying Rayleigh's method. The main results make sense of the notion that if two graphs look
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 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;
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 Catalogue of Lattices  Neil Sloane, Gabriele Nebe
A catalogue of different types of lattices, combinatorial objects with direct applications to packing spheres into a limited amount of space.
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 Cracking Kepler's spherepacking problem  Ivars Peterson; Science News Online
The familiar piles of neatly stacked oranges at a supermarket represent a practical solution to the problem of packing spheres as tightly as possible. Now, a mathematician has proved that no other arrangement of identical spheres fills space more efficiently.
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 Discrete Mathematics & Theoretical Computer Science (DMTCS): An Electronic Journal  Jens Gustedt
DMTCS is an electronic journal published by the Maison de l'Informatique et des Mathématiques Discrètes, MIMD. It is a peerreviewed publication devoted to rapid publication of innovative research which covers discrete mathematics and theoretical computer
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 Elementary Math Enrichment  Beth Schaubroeck
Free mathematics enrichment materials for accelerated 4th and 5th graders. The 70 lessons, grouped into 12 different units, include solutions and teacher guides: Ancient Mathematics (Mayan math, in base 20; and Egyptian math, which lacks zero), Baseball
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 Geometric Algorithms  Susan Landau; Univ. of Massachusetts at Amherst
Landau's interest in geometric algorithms has been in problems of an algebraic flavor: computeraided design, robotics, and other geometricrelated applications that have created a need for methods for embeddings, visualization, and algorithms for construction
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 The Geometry Junkyard  David Eppstein, Theory Group, ICS, Univ. of California at Irvine
A collection of usenet clippings, web pointers, lecture notes, research excerpts, papers, abstracts, programs, problems, and other stuff related to discrete and computational geometry  some serious and much also entertaining. Junk sorted into piles (Topics):
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 Herbert Wilf
Herbert Wilf is a combinatorialist. The entire text of his books generatingfunctionology, A = B, and Algorithms and Complexity may be downloaded in PDF format, as may his "East Side, West Side" lecture notes on combinatorial objects and Maple programming.
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 Illustrated 4D Computer Graphics  Kirby Urner, 4D Solutions
Curriculum Concepts from the Fuller School. Primitive topologies: nonEuclidean definitions of points, lines, planes as nonzero, parameterized entities, with light affecting properties in ray traced views; Concentric hierarchy: a reference frame relating
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 Journal of Algebraic Combinatorics  Kluwer Online
The journal publishes papers in which combinatorics and algebra interact in a significant and interesting fashion. This interaction might occur through the study of combinatorial structures using algebraic methods, or the application of combinatorial
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 The Kepler Conjecture  Thomas C. Hales, Samuel P. Ferguson
The authors claim to have proved the Kepler Conjecture, that no packing of equalsized spheres in space can have greater density than that of the facecenteredcubic packing. The full proof is included in over 250 pages of postscript format, with in addition
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 Manipula Math with Java  International Education Software (IES)
Hundreds of interactive Java applets for middle school through early college years on subjects such as geometry, calculus, trigonometry, linear transformations, vectors, complex numbers, and conics. Applets and animations often include introductions to
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 Mathematical Ideas in Science  Seven Stones Multimedia
A series of tutorial modules using JavaScript, Shockwave for Director, or Shockwave Flash: sphere packings, shapes and lattices; waves described, longitudinal and transverse wave lab, 2dimensional harmonic disturbance; 2dimensional vector components
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 A Mathematica Package for Studying Posets  Curtis Greene, Haverford College
Download Macintosh, Windows, or ASCII versions of posets22d, a Mathematica package for generating, displaying, and exploring partially ordered sets (also known as "posets"), with an emphasis on combinatorics. The package can generate a poset directly
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 Math ePrint Archive  Dept. of Mathematics, Florida State University
Papers/abstracts to view and download (the files are in gzipped postscript
format) by members of the Mathematics Department at Florida State University. Papers are listed in reverse chronological order.
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 The Quadray Papers  Kirby Urner, 4D Solutions
An Introduction to Quadrays. The game of quadrays starts with a regular tetrahedron and four rays pointing from its center to the four corners; these or any ray built from these rays are labelled 4tuples  i.e. four numbers separated by commas and enclosed
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 Richard E. Borcherds
Preprints, papers, and the author's thesis, in HTML, plain TeX, dvi, and pdf formats; problem sheets for Lie algebras or Modular forms, and solutions to some problems in Hartshorne's book; tables of positive definite lattices and coefficients of some
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 RT Representation Theory (Front for the Mathematics ArXiv)  Univ. of California, Davis
Representation Theory preprints, from the U.C. Davis front end for the xxx.lanl.gov ePrint archive, a major site for mathematics preprints that has incorporated many formerly independent specialist archives. Search by keyword or browse by topic.
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 Secrets of the Beehive  Keith Devlin; Guardian Unlimited Archive
The 4th century geometer Pappus was one of several ancient Greek mathematicians who suspected that the elegant shape of the honeycomb was a result not of an innate beesense of geometric beauty but of nature's efficiency. The repeating pattern of sixsided
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 Theory of Tieknots  Yong Mao
The mathematical theory behind tying a necktie, with illustrations of the Four in Hand, the Pratt Knot, the HalfWindsor, and the FullWindsor, and a classification of necktie knots with respect to size and shape. Tying a tie knot is equivalent to a persistent
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