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  1. 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. ...more>>

  2. Peter Gustav Lejeune Dirichlet - Australian Mathematics Trust
    A biography of the mathematician that discusses his theorem, introduction of the function notation y = f(x), boundary problems, minimization principle, and the Pigeonhole Principle. ...more>>

  3. Peter J. Lu - Department of Physics, Harvard University
    Lu's mathematical and historical research has revealed new insights in medieval Islamic quasicrystalline tilings and the earliest machines, such as the one he suggests precisely interconverted the linear and rotational motion responsible for the distinctive ...more>>

  4. peterlu.org - Peter Lu
    Publications and research into medieval Islamic geometry (e.g., decagonal and quasicrystalline tilings in its architecture), soft-matter and colloid physics, high-performance imaging, ancient Chinese technology (e.g., first use of diamond, early precision ...more>>

  5. 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, ...more>>

  6. Peterson's Education Center
    A leading provider of information on U.S.-accredited educational institutions in the U.S. and abroad. Topics include: Summer Programs for Kids and Teens; Public Schools K-12; Private Day and Boarding Schools; Vocational-Technical Schools; Undergraduate ...more>>

  7. Petits Textes sur l'éducation - Laurent Lafforgue
    Essais écrit par le laureat de la medaille Fields 2002, incluent "De l'école et de ce qui fonde la valeur de la culture et du savoir" et "De la culture générale des futurs instituteurs et professeurs" et "Les mathématiques ...more>>

  8. 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 ...more>>

  9. Phalanstère - Équipe de Combinatoire Algébrique, Université de Marne-la-Vallée
    Research into the relations between algebra and combinatorics. Membres; Publications; Logiciels; Séminaire. In French. ...more>>

  10. Phase Portraits for ODE's and Autonomous Systems - Mansfield, Beukers; Mathematics Dept., Penn State University
    A Java applet that allows the user to draw the direction field and integral curves of an ODE. You may also plot a single first order equation by letting x'=1. Or better yet, since dy/dx = y'/x', to solve dy/dx = f(x,y), choose any two functions whose ...more>>

  11. Phase State Diagrams - Harold Brochmann
    Phase diagrams reveal much information about physical phenomena. Brochmann illustrates with a variety of graphs created by computer programs. Phase state diagrams of unstable orbits reveal 'strange attractors', useful in a variety of fields including ...more>>

  12. PhD! ... plus epsilon - Adriana Salerno
    Having earned her math doctorate in 2009, Salerno writes "about some of the challenges I've encountered while teaching, attempting to do research, and the lesser known aspect of 'service'" on institutional committees. In addition to blogging about "publish ...more>>

  13. Philosophy of Mathematics Education Journal - Paul Ernest; School of Education, University of Exeter, UK
    A page with links to past issues of the journal, formerly the Philosophy of Mathematics Education Newsletter, along with links to information on the Falmer Book Series 'Studies in Mathematics Education', the Masters program in mathematics education at ...more>>

  14. Philosophy of Science - David Banach
    A syllabus and collected resources for a course in the philosophy of science, including excerpts from various books. Topics include ancient Greek science and mathematics: the Golden Section, Pythagoras, infinity and continuity, and Plato and Aristotle, ...more>>

  15. Phi's Fascinating Figures - Ron Knott
    More properties of the number Phi, its multiples and powers, continued fractions, formulae, and numerical relations between Phi and its powers. ...more>>

  16. Photographic Polyhedron (Geometry and the Imagination) - Conway, Doyle, Gilman, Thurston; The Geometry Center
    As you stand in one place and look around, up, and down, there is a sphere's worth of directions you can look. One way to record what you see would be to construct a big sphere, with the image painted on the inside surface. To see the world as viewed ...more>>

  17. 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 ...more>>

  18. Phyllotaxis - Pau Atela, Chris Golé; Smith College
    An interactive site for the mathematical study of plant pattern formation. Sections of the site include: Introduction to Phyllotaxis (classification, Fibonacci/golden angle, microscope, mathematical model, and lattices); history; glossary; references; ...more>>

  19. Physics 109N: Galileo and Einstein - Michael Fowler; Dept. of Physics, University of Virginia
    A course that explores two revolutions in our perception of the universe. The first, in which Galileo played the leading role, was the realization that what we see in the heavens - the moon, the planets, the sun and stars - are physical objects. The second ...more>>

  20. Physics and Math Help Online - Bryan Gmyrek
    Tutoring available through e-mail. Previously answered questions are archived on the site, and a tutorial on The Plank Radiation Law - Blackbody Spectrum is available. The author also provides a physics help newsletter and a list of sites for further ...more>>

  21. Physics Forums
    Discussions emphasize physics, but "PF" also includes an entire directory on mathematics: General Math; Calculus & Analysis; Differential Equations; Linear & Abstract Algebra; Topology & Geometry; Set Theory, Logic, Probability, and Statistics; ...more>>

  22. Physics (MathPages) - Kevin Brown
    More than 60 "informal notes" by Kevin Brown on mathematical physics: Doppler for sound and light, optical rays in heterogeneous media, radial orbitgs in Schwarzschild geometry, the formation and growth of black holes, can Schrodinger's cat factor numbers?, ...more>>

  23. The Physics of Baseball - Alan Nathan
    Read about the benefits (or not) of corked bats, the differences between aluminum and wood bats, the issues involved with characterizing the performance of bats from a physics point of view, and a description of the collision between a wooden bat and ...more>>

  24. 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 ...more>>

  25. Physics Simulation in Java - Erik Neumann
    Physics simulations, including springs and masses (various configurations), pendulums (single, double, chaotic), and roller coasters. You can move objects or change parameters like gravity, friction, etc. ...more>>

  26. Physics Simulations in Java - Erik Neumann
    Twenty different Java-based, interactive, classical mechanics simulations: springs and masses, pendulums, roller coasters, etc. Move objects or change parameters like gravity, friction, etc. Full math explanations and free source code is provided. ...more>>

  27. Physics ToolChest: Vector Algebra Tools - ToolChest Software, Inc.
    Multimedia educational software in physics and mathematics. Advanced calculators and study aids for high school and college students. ...more>>

  28. Pi: A 2000-Year 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 ...more>>

  29. Pi and the Fibonacci Numbers - Ron Knott
    Contents: How Pi is calculated (Measuring the steepness of a hill; The tangent of an angle; The arctan function; Gregory's Formula for arctan(t); Radian measure; Gregory's series and pi; Using Gregory's Series to calculate pi; Machin's Formula; Another ...more>>

  30. Pi Approximation Day Greeting Cards - 123Greetings
    123Greetings - Send Free Electronic Greeting Cards to Friends and Families all over the World. There are no images available for Pi Approximation Day, but backgrounds and a variety of slogans are available, and you can write your own. ...more>>

  31. Pi: A Source Book - J. Borwein, Springer-Verlag
    A complete history of pi, with resources for teachers for anything from special topic courses to individual talks and special student projects. The literature on pi included in this source book falls into three classes: a selection of the mathematical ...more>>

  32. Pick a Digit, Any Digit - Ivars Peterson (MathTrek)
    One of the most amazing mathematical results of the last few years was the discovery of a surprisingly simple formula for computing digits of the number pi. Unlike previously known methods, this one allows you to calculate isolated digits - without computing ...more>>

  33. Pick a number from 1 to 10 ... for SCIENCE! - Alec Perkins
    "When asked 'pick a number from 1 to 10,' people tend to pick certain numbers more than others, in particular 7 and 4 over the extremes...." Participate by choosing your own number; see bar graphs and line plots of data submitted thus far according to ...more>>

  34. Picking Winners - Ivars Peterson (MathTrek)
    One of the attractive features of spectator sports is the uncertainty of the outcome. Even when one team is overwhelmingly favored to win, the underdog may still come through with a surprising victory. Nonetheless, the ability to pick winners can be of ...more>>

  35. Pick's Theorem - Cut the Knot!, Alexander Bogomolny
    A description with proof of Pick's theorem, including links to further pages including exercises with an applet for the geoboard, Farey Series, and Stern-Brocot Tree. An interactive column for MAA Online that uses a Java applet to simulate a puzzle or ...more>>

  36. Pi Digit Pendants - Cliff Spielman
    The first 3,456 digits of the decimal expansion of pi — microscopically printed on a silver-plated, 15mm square. Fibonacci, prime number, and other variations available from Spielman's MicroPendants site. Jewelry available as a free-standing pendant, ...more>>

  37. The Pi-Dye T-Shirt Shop - Josh Cummings
    Purchase from a variety of pi and other math t-shirts, mugs, clocks, etc., including the famous MathSpeak t-shirt. ...more>>

  38. Pi Mu Epsilon
    Pi Mu Epsilon, Inc., an honorary national mathematics society, was founded on May 25, 1914 at Syracuse University. It is a non-secret organization, the purpose of which is the promotion of scholarly activity in mathematics among the students in academic ...more>>

  39. Pinpointing Prey - Ivars Peterson (MathTrek)
    The sand scorpion uses two types of sensors on the tips of its legs to detect mechanical vibrations transmitted over relatively short distances across the surface. One sensor, called the basitarsal slit sensillum, detects surface waves, or ripples. The ...more>>

  40. The Pi Pages - Centre for Experimental and Constructive Mathematics (CECM)
    "Pi is one of the few concepts in mathematics whose mention evokes a response of recognition and interest in those not concerned professionally with the subject. It has been a part of human culture and the educated imagination for more than twenty five ...more>>

  41. Pi-Search
    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. ...more>>

  42. The Pi-Search Page - Dave Andersen
    Search the first 50 million digits of pi for any numeric string up to 120 digits. The page also documents a few observations about pi's numeric strings, including self-locating strings, palindromes, and month-day combinations. ...more>>

  43. Pi Squared over Six - Clive Tooth
    "This value, (pi^2)/6, seems to crop up quite often in mathematics. I think that most of these occurrences can be traced back to the fact that it is the sum of the reciprocals of the squares of the positive integers...." See the first 500 decimal places ...more>>

  44. Pi Symphony - Lars Erickson
    Lars Erickson composed the Pi Symphony in the early 1990's. The themes and melodies of this 14 minute orchestral piece are directly based on pi's first 32 digits, with countermelodies developed from the number e. Listen to samples of Erickson's musical ...more>>

  45. Pitfalls of Data Analysis - Clay Helberg
    Subtitled "... or How to Avoid Lies and Damned Lies," this paper discusses what people "often overlook in their data analysis, and ways people sometimes 'bend the rules' of statistics to support their viewpoint." Tips to ensure the clarity and accuracy ...more>>

  46. Pi Through the Ages - MacTutor Math History Archives
    A history of pi: the Rhind papyrus (Egypt), Ptolemy, Tsu Ch'ung Chi, al'Khwarizmi, Al'Kashi, Viet, Romanus, Van Ceulen, Gregory, Shanks, Lambert, Euler, Buffon, and many more, with other Web sites and 30 references (books/articles). ...more>>

  47. The Pi Trivia Game - Eve A. Andersson
    Test your knowledge of history, mathematics, and even a little physics. Here are 25 (given to you 5 at a time) pi-related questions, picked randomly from a pi question database. Also at http://cid.com/~eveander/trivia/. ...more>>

  48. 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 ...more>>

  49. Planar Geometry (The Geometry Junkyard) - David Eppstein, Theory Group, ICS, UC Irvine
    An extensive annotated list of links to material on planar geometry. ...more>>

  50. Planarity Flash Game - John Tantalo
    Arrange the vertices such that no edges overlap. Solve graphs of increasing difficulty, accumulating points based on the number of moves and the time it took to make them. ...more>>

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