 Peter Doyle  Mathematics, Univ. of California at San Diego
Advanced tutorials, proofs and papers, mostly statistics, probability, geometry, and graph theory, but with examples from other mathematics areas as well. Don't miss Dr. Doyle's Flip Flops.
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 peterlu.org  Peter Lu
Publications and research into medieval Islamic geometry (e.g., decagonal and quasicrystalline tilings in its architecture), softmatter and colloid physics, highperformance imaging, ancient Chinese technology (e.g., first use of diamond, early precision
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 Peter Olver's Home Page  Peter Olver
Publications, seminar and conference talks, and more resources from the Head of the University of Minnesota's School of Mathematics. Download notes of Olver's lectures on applied mathematics, numerical analysis, orthogonal bases and the QR algorithm,
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 Pfaff's Method (III): Comparison with the WZ Method (Organic Mathematics Proceedings)  George Andrews
In the 1990's, the WZ method has been the method of choice in resolving new conjectures for hypergeometric identities. The object here is to compare the WZ method with Pfaff's method. Such a comparison should (it is hoped) provide some suggestions for
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 Phalanstère  Équipe de Combinatoire Algébrique, Université de MarnelaVallée
Research into the relations between algebra and combinatorics. Membres; Publications; Logiciels; Séminaire. In French.
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 Philippe Flajolet
Philippe Flajolet researches the analysis of algorithms, analytic combinatorics, computer algebra, asymptotic analysis, special functions, random structures, and natural languages. An extensive collection of his articles, and the first chapters of
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 Photos by Paul Halmos  Mathematical Association of America (MAA)
Snapshots taken by Paul R. Halmos of notable contemporaries, academics, and other intellectuals of the 20th century. Search or browse the tagged collection of pictures, each of which includes a brief note about the subjects photographed in Halmos' own
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 Physics Problems for the Next Millennium  David Gross, Institute for Theoretical Physics, University of California, Santa Barbara
The ten most important unsolved problems in fundamental physics, as formulated by participants of the University of Michigan's Strings 2000 Conference: Are all the (measurable) dimensionless parameters that characterize the physical universe calculable
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 Pi: A 2000Year Search Changes Direction  Adamchik, Wagon
A New Formula for Pi: David Bailey of NASA/Ames and Peter Borwein and Simon Plouffe of the Centre for Experimental and Computational Mathematics at Simon Fraser University (BBP) have discovered a remarkable and remarkably simple new formula for Pi. Sum
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 PiSearch
Search the first four billion binary digits of Pi for a string. Enter the string in hex (4 bit) or character (5 bit) format. Includes some statistics (probability of occurrence of characters, digits). Related links include articles and papers.
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 pLab: Random Number Generation  Peter Hellekalek; Mathematics Dept., University of Salzburg
Results and links on this fundamental topic in stochastic simulation. RNGs are deterministic algorithms that produce numbers with certain distribution properties. Roughly speaking, these numbers should behave similar to realizations of independent, identically
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 Planar Geometry (The Geometry Junkyard)  David Eppstein, Theory Group, ICS, UC Irvine
An extensive annotated list of links to material on planar geometry.
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 Planet Math
Designed to be a central repository for mathematical knowledge on the web, with a pedagogical slant. All content is usercontributed, either to the Encyclopedia or to the reviewed listings of papers, books, and lecture notes. Polls, discussions, and feedback
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 plantri and fullgen  Gunnar Brinkmann, University of Bielefeld, and Brendan McKay, Australian National University.
Programs for generating certain types of planar graph. Graphs are generated in such a way that exactly one member of each isomorphism class is output without the need for storing them. The speed of generation is more than 100,000 graphs per second in
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 Plouffe's Inverter  Simon Plouffe
A database of more than 84,800,000 mathematical constants like Pi, Sqrt(2), Catalan and Euler's gamma. Enter a number, search or browse, and the programs will find what the number is made of. From the author of the Encyclopedia of Integer Sequences (with
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 Poem about the Riemann Zeta Function  Tom Apostol
A poem about the zeta function and the Riemann hypothesis, linked to explanations of the important concepts by Chris Hughes.
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 Point Plots and Space Curves  Theo Gray
Download a Mathematica notebook that defines the functions PointParamPlot3D, SpaceCurve, and PointSpaceCurve. These functions let you make discrete point plots in two and three dimensions. The SpaceCurve and PointSpaceCurve functions let you make threedimensional
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 Poliplus Software
Educational computer algebra, geometry, trigonometry, calculus software for Windows and Macintosh, and Java. Formulae 1 (F1) is a computer algebra system designed for the teaching and exploration of Mathematics. EqnViewer is a Java applet that allows
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 Polish Mathematical Society, Cracow Division
Council, Committees, Delegates, report of Plenary Meeting; Contact details.
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 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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