 POLYA: Cooperative Solutions of Difficult Problems in Elementary Mathematics  Paul Yiu and Xiaodong Zhang, Moderators; Department of Mathematical Sciences, Florida Atlantic University
An archived discussion group for the cooperative solution of difficult problems in elementary mathematics through calculus, "preferably nontechnical in nature."
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 Polyhedra  Albert P. Carpenter
Photos of paper models of discontinuous "nolids," or zerovolume polyhedra. Inspired in part by the work of Allan Holden and his book Shapes, Space and Symmetry, Carpenter's images include antinanotubular polyhedra; carbon based nanostructures (polyhedra
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 Polyhedra and Polytopes (The Geometry Junkyard)  David Eppstein, Theory Group, ICS, UC Irvine
An extensive annotated list of links to material on geometric properties of polygons, polyhedra, and higher dimensional polytopes (particularly convex polytopes).
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 The polymath blog  Timothy Gowers
Massively collaborative mathematical research projects discussed and hosted here have included IMO Q6 2009, Density HalesJewett, Embedded c_0 or lp in explicit Banach spaces, and Finding primes deterministically. Proposals include Boshernitzan's problem,
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 Ponder This  IBM Research
Match wits with the minds in IBM Research, who post a new puzzle every month (some suggested by users at large), and welcome your solutions. Archives of previous challenges.
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 Potto Project  Dr. Genick BarMeir
An open content project meant to be used by the community to write quality text books for colleges. Currently offering the free online textbook, Fundamentals of Compressible Flow Mechanics.
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 The Power of One  Robert Matthews, The New Scientist
Benford's law demands that around 30 per cent of the numbers in a given data set will start with a 1, 18 per cent with a 2, right down to just 4.6 per cent starting with a 9. This essay provides a mathematical history behind the counterintuitive law,
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 Powersums, Fermat, Waring; Quotes, History...  Nico F. Benschop
Links to papers on the ideas of Fermat, Waring, Goldbach, Cantor, Hensel, HasseMinkowski, and Selmer, and the following mathematical concepts: semigroups, sequential logic synthesis, cubic roots, and state machines and their sequential closure. With
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 Practical Foundations of Mathematics  Paul Taylor
The full text (online, in HTML) of the book (some diagrams may be missing), published by Cambridge University Press in March, 1999 as number 59 in their series Cambridge Studies in Advanced Mathematics. Practical Foundations collects the methods of construction
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 A Practical Guide to Wavelet Analysis  Christopher Torrence and Gilbert P. Compo
Read an introduction to wavelet analysis and Monte Carlo methods, or download it in PDF or PostScript format. Use an interactive wavelet plotting form to investigate sample time series or your own data. Download wavelet software in Fortran, IDL, or
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 Practice Online! The Electronic Complement to INTERFACES (POL)  Institute for Operations Reseach and the Management Sciences (INFORMS)
A practiceoriented electronic information service of INFORMS, jointly sponsored by INTERFACES and the INFORMS Roundtable. Forum, submission guidelines, supplemental materials online, tables of contents and abstracts, Edelman abstracts, practiceoriented
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 Preconditioned Eigensolvers  Andrew Knyazev; Dept. of Mathematics, Univ. of Colorado at Denver
Investigations into matrixfree iterative methods for partial eigenvalue
problems that take advantage of using preconditioners to accelerate convergence. Papers, an interactive discussion, a bibliography, related conferences, and links to software.
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 Prependix A: Math Notation On KCT
 Karl Hahn
Math notation over the Web: symbol conventions used by Karl Hahn for his Calculus Tutor Notes.
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 Preprints  Yale Mathematics Department
Download files via FTP. Single documents and papers with only a few simple diagrams are stored as ASCII TeX files. An index lists titles and authors of papers.
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 Pricing and Hedging of Derivative Securities  Lars Tyge Nielsen
A book that introduces the theory of pricing and hedging of derivative securities in continuous time graduate and advanced undergraduate students and for researchers in both academia and the financial industry. Includes background in stochastic process
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 primegen  D. J. Bernstein
Download primegen, a small, fast library to generate prime numbers in order. Using the Sieve of Atkin instead of the traditional Sieve of Eratosthenes, it generates the 50847534 primes up to 1000000000 in just 8 seconds on a Pentium II350; it prints
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 The Prime Number Maze  William Paulsen; Arkansas State University, Jonesboro, AK
Navigate mazes of binary numbers determined by the distribution of the prime numbers. Try mazes at Beginner (binary notations and prime numbers), Intermediate (500 rooms), Advanced (5000 rooms), Super Advanced (6 times larger than the advanced), or Ultimate
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 A Primer on Vorticity for Application in Supercells and Tornadoes  Charles A. Doswell III, Cooperative Institute for Mesoscale Meteorological Studies
"Vorticity is a 3dimensional vector.... associated with the spatial variation of the wind field." This tutorial for those interested in supercell thunderstorms and tornadoes contains four mathematical diversions exploring models of fluid dynamics and
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 Primordial Soup Kitchen  David Griffeath, Dept. of Mathematics, Univ. of Wisconsin
Research on the selforganization of random cellular automata. Griffeath produces colorful computer graphics that illustrate the ability of local parallel update rules to generate spatial structure from disordered initial states. His Welcome offers access
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 The Princeton Mathematics Community in the 1930s: An Oral History Project  Charles C. Gillispie, Albert W. Tucker, and William Aspray
Transcripts, with abstracts, of interviews with mathematics faculty and students at Princeton University during the 1930s, recounting that decade when Kurt Gödel studied spatially homogeneous cosmological models; Albert Einstein worked on a unified
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 Princeton University Press  Mathematics
Math subjects, new in print, catalog, series, conferences.
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 Principia Cybernetica Web  Turchin, Joslyn, Heylighen, Bollen, eds.
Principia Cybernetica Project (PCP) is an international organization that tries to tackle ageold philosophical questions with the help of the most recent cybernetic theories and technologies. The Project's aim is the computersupported collaborative
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 Principia Mathematica  A.D.Irvine; Stanford Encyclopedia of Philosophy
The philosophy encyclopedia's entry on Principia Mathematica, the landmark work on mathematical logic and the foundations of mathematics written by Alfred North Whitehead and Bertrand Russell. Next to Aristotle's Organon, it is the most influential book
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 Principles and Practice of Constraint Programming: Conferences  Department of Computing Science, Univ. of Alberta, B.C.
Links to previous and future conferences concerned with all aspects of computing with constraints including: algorithms, applications, environments, languages, models, systems. Contributions are welcome from any discipline concerned with constraints,
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 PRISM (Parallel Research on Invariant Subspace Methods)
A project the goal of which is to develop infrastructure and algorithms for the parallel solution of eigenvalue problems. PRISM is currently investigating a complete eigensolver based on the Invariant Subspace Decomposition Algorithm
for dense symmetric
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 The Prisoners' Dilemma  Brefi Group
A game to teach winwin cooperation and negotiation to teams. Purchase readymade forms and instructions for teams to play this famous trust game, based on the "Prisoners' Dilemma" in which two criminals who are arrested after a crime are immediately
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 Probability Abstract Service  University of Washington, Seattle, WA
Latest abstracts, with some preprints and information about authors; all abstract titles (old and new titles and authors, a large file); old abstracts; submission and subscription information; and related WWW servers.
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 Probability in the Engineering and Informational Sciences  Sheldon M. Ross, Ed.; Cambridge University Press
A journal focusing on stochastic modelling in the physical and engineering sciences, with particular emphasis on queueing theory, reliability theory, inventory theory, simulation, stochastic control theory and probabilistic networks and graphs. Online
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 Probability Theory and Related Fields (PTRF)  Geoffrey Grimmett, Managing Editor
Editors' site. The electronic pages of PTRF are kept at the web site of the publisher, Springer. Subscribers or members of subscriber institutions may access recent issues electronically.
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 The Probability Web  Bob Dobrow; Department of Mathematics and Computer Science, Carleton College
A collection of pages to serve people with interests in probability theory and its applications. Information is presented under the following headings: Probability links, Abstracts, Listservers, Newsgroups, People, Jobs, Journals, Software, Books, Booksellers,
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 Problems  Bojan Mohar
Conjectures in graph theory ranging from paths to colorings to matchings to crossings. With references, links to other collections of open problems, and chapters of the book that Mohar authored with Carsten Thomassen, Graphs on Surfaces.
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 Problems in Topological Graph Theory  Dan Archdeacon
An ongoing list of open questions in topological graph theory, to which the author invites contributions. Classical questions on genus; coloring graphs and maps; drawings and crossings; paths, cycles, and matchings; symmetries; locally planar embeddings;
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 Professional Development Programs for Grade K12 Teachers of Mathematics  The State University of New Jersey  Rutgers
Read about and apply for summer institutes such as Institutes for New Teachers of Mathematics and Science, Helping All Students Succeed in Grades 712 Mathematics, the Leadership Program in Discrete Mathematics, and the DIMACS Connect Institute; conferences
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 Professor Badih Ghusayni
Ghusayni, who teaches in the Department of Mathematics at Lebanese University, serves as Founder and Managing Editor of the International Journal of Mathematics and Computer Science. Purchase and download his books and journal articles on complex and
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 Professor Badih Ghusayni's Books  Badih Ghusayni
Books include Solved Problems in Analysis: A Companion to Math Majors, and Number Theory from an Analytic Point of View (for amateurs and professionals alike). The latter work is also available in French.
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 Professor L N Trefethen, Numerical Analysis  Balliol College, Oxford University, UK
Links to books and recent papers by the head of the Numerical Analysis Group at Oxford University. Books include: Spectral Methods in Matlab, Finite Difference and Spectral Methods, Numerical Linear Algebra, and Spectra and Pseudospectra.
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 Professor Salah Mecheri  Salah Mecheri
Home page of a mathematical analysis professor in Saudi Arabia. Includes publications, references, research statements, primarily focused on operator theory.
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 Profile (John H. Conway): Not Just Fun and Games  Mark Alpert, Scientific American
A short biography of the Englishborn Princeton University mathematician and a discussion of some of his major mathematical contributions. ...over the past three decades Conway has made some of his greatest contributions to mathematical theory by analyzing
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 Prof. Kuo's Research Group  University of Southern California
Prof. Kuo's research group is devoted to theoretical issues and practical applications of multimedia information processing, including image, video, graphics, audio and speech signals. Research projects cover multimedia information compression, communication
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 Prognosis  Johann Rost
Business software that uses artificial intelligence and statistical methodology to achieve forecasting accuracy for market shares, sales, profits, demand for services or material, etc. The program does not require a background in statistics or time series
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 Project Euclid  Cornell University Library
Project Euclid seeks to "advance scholarly communication in the field of theoretical and applied mathematics and statistics." Access and distribution plans for journal fulltext content include fulltext searching, reference linking, interoperability
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 project Eureka
project Eureka is a collaboratively edited site for problem solvers/creators—regardless of problem or field. Add problems with quantifiable results; or group problems in a test.
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 Project Hermite  Shayne Waldron
Because bounding the error in Hermite interpolation in terms of the derivative which kills the interpolating space is of interest in numerical analysis and in the analysis of ordinary differential equations, there is an extensive literature on the subject.
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 Project Muse  Johns Hopkins University Press
Worldwide networked subscription access to the full text of the Johns Hopkins University Press's 40+ scholarly journals in the humanities, social sciences, and mathematics. Search for Mathematics, or browse the American Journal of Mathematics.
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 Projet PRISME  INRIA, Sophia Antipolis
Les activités du projet PRISME sont centrées sur la géométrie algorithmique et ses applications, et sur les aspects géométriques de la robotique. Les études sont motivées par les nombreux domaines
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 Prolin: Mixed Linear Integer Programming Solver  Joćo Matos, Ricardo Matos
Free software to handle mixed linear integer programming problems with sensitivity analysis. Windows 2000/XP. In Portuguese.
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 Promoting Engagement and Supporting Leadership Development:
Online Teacher Professional Development at the Math Forum  Wesley Shumar, Jason Silverman, & Troy P. Regis, Drexel University
PDFformat article. Abstract: Teacher professional development (TPD) in its current state is typically episodic, fragmented, and often not rewarding over the long haul. There is need for a more substantial and extensive core set of TPD experiences that
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 Proof  Mariotti, MariaAlessandra; and Pedemonte, Bettina, editors
Archives of the quarterly "international newsletter on the teaching and learning of mathematical proof." Articles have included "The effect of using Transparent PseudoProofs in Linear Algebra," "Beliefs and beyond: hows and whys in the teaching of proof,"
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 The ProvenMath Project  Michal Ryszard Wojcik and Michal Stanislaw Wojcik
Proofs of the Fundamental Theorem of Algebra, the theorem about integration by change of variables for realvalued functions of nvariables, a derivation of Zorn's Lemma, and others. The site renders axioms and derives proofs using only ASCII characters.
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 PR Probability Theory (Front for the Mathematics ArXiv)  Univ. of California, Davis
Probability 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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