 Computational & Applied Mathematics @ Penn State
Faculty, Seminars, Graduate Program, Research, Publications, Picture Gallery, Links and more.
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 The Computational Beauty of Nature  Gary William Flake
Computer Explorations of Fractals, Chaos, Complex Systems, and Adaptation: a companion site for a book by Gary William Flake, "affectionately known as 'The Fish and Chips Book'." Contains applets and source code.
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 Computational Complexity (CC)  Birkhäuser Verlag AG, Switzerland
CC presents outstanding research in computational complexity. Its subject is at the interface between mathematics and theoretical computer science, with a clear mathematical profile and strictly mathematical format. You may download a free electronic
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 Computational Geometry  arXiv.org ePrint archive
The computational geometry section of the Computing Research Repository (CoRR), moderated by Joseph O'Rourke. Recent papers.
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 Computational Geometry Code  Jeff Erickson
Links to implementations of geometric algorithms and software. Most of the software is available free of charge. Unless otherwise specified, C or C++ source code is available for all programs. Software libraries and collections and programs that can be
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 Computational Geometry (Graphics Archive, Special Topics)  The Geometry Center
Understanding algorithms that solve problems in Geometry.
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 The Computational Geometry Impact Task Force Report  Jeff Erickson
In April 1996, Bernard Chazelle's Computational Geometry Impact Task Force published a report entitled "Application Challenges to Computational Geometry" about the relation between computational geometry and various application fields. The report is available
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 Computational Geometry  Joseph O'Rourke
Computational Geometry is concerned with designing algorithms and computer programs to perform geometric computations. A need for such computations arises in many fields: computer graphics, robotics, pattern recognition, geography, manufacturing, etc.
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 Computational Geometry on the Web  Godfried Toussant; McGill University, Montreal, Quebec, Canada
A list of general links to computational geometry pages, and specific links related to course material.
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 Computational Geometry Pages  Jeff Erickson
A comprehensive directory of computational geometry resources both on and off the Internet. General Resources, Literature, Research and Teaching, Events, Software, other links. Also found at http://compgeom.cs.uiuc.edu/~jeffe/compgeom/.
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 Computational Geometry Resources  School of Computer Science, Carleton Univ., Ottawa, Ontario, Canada
A comprehensive listing of computational geometry resources on the Internet, including: Indexes; Centres in North America, Europe, and Australasia; Literature; Newsgroups, FAQs, and Newsletters; Software libraries; and other miscellaneous sites.
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 Computational Geometry  Stony Brook Algorithm Repository
A summary of major problems in computational geometry, and implementations of their solutions, with links to specific algorithms: Robust Geometric Primitives; Convex Hul; Triangulation; Voronoi Diagrams; Nearest Neighbor Search; Range Search; Point Location;
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 Computational Geometry Student Projects, 1997  Godfried Toussaint, McGill University
A variety of student projects: papers presented on the Web, many with Java applets, and available in postscript form. Topics include: Quadrangulations of Planar Sets of Points; The Jordan Curve Theorem for Polygons; The Art Gallery Problem; Ear Cutting;
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 Computational Mathematics Research Group  University of Brighton
Current areas of research include bubble dynamics, acoustics, diffusion in gels, and space plasmas. Read their bibliography of recent publications.
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 Computational Physics  Angus MacKinnon; Imperial College, London
Lectures on numerical solutions and applications to physics. Includes sections on ordinary differential equations (Types of Differential Equation; Euler Method; LeapFrog Method; RungeKutta Method; PredictorCorrector Method; Intrinsic Method) and partial
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 Computational Science Education Project (CSEP)  U.S. Department of Energy
An electronic book for teaching Computational Science and Engineering to students at the advanced undergraduate level and higher. Tutorials for freely available networking and visualization software are also included for high school students and people
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 Computational Science Highlights  National Science Foundation Metacenter: Science Highlights
This multimedia collection contains descriptions of some of the 10,000 scientific research projects that have used the resources of National Science Foundation supercomputing centers. The reports range from astronomy to zoology, and include scientific
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 Computational Statistics with Applications  Prof. Hossein Arsham; University of Baltimore
Presents statistical concepts and tests as they are applied and implemented on commercial software packages such as SPSS and SAS, along with some introductory data analysis routines.
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 Computation, Computers, and Math Center  Sandia National Laboratories
Research and development in support of a wide variety of programs for the Department of Energy and other customers. A major part of the center works on massively parallel computing, and is located in the Massively Parallel Computing Research Laboratory
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 The computation of certain numbers using the ruler and compass  Simon Plouffe, Journal of Integer Sequences
A method for computing some numbers bit by bit using only the ruler and compass, in particular the construction for arctan(X)/Pi. This method is a spigot algorithm and can be applied to numbers that are constructible over the unit circle and the ellipse.
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 Computation of Discrete Logarithms in Prime Fields  LaMacchia, Odlyzdo; AT&T Bell Laboratories, NJ
The presumed difficulty of computing discrete logarithms in finite fields is the basis of several popular public key cryptosystems. The secure identification option of the Sun Network File System, for example, uses discrete logarithms in a field GF(p)
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 Computation Takes a Quantum Leap  Ivars Peterson  Science News Online
A quantum computation involving a custombuilt molecule furnishes experimental evidence that a quantum computer can determine the order of a permutation more efficiently than can a conventional computer. For their quantum computer, Isaac L. Chuang of
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 Computer Aided Learning in Mathematics (CALM)  Department of Mathematics at HeriotWatt University, Edinburgh
Developments in ComputerAided Learning and Assessment, as well as software, academic papers and other information produced by the CALM group. Download the demo for Interactive PastPapers, an exam simulator and personal tutor. Links to course guide, worksheets
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 ComputerAided Teaching of All Mathematics (CATAM)  University of Cambridge
The ComputerAided Teaching of All Mathematics (CATAM) Computational Projects courses provide an education in solving mathematical problems using a computing environment. Emphasizing the development of mathematical skills rather than programming abilities,
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 Computer Algebra and Problem Solving Environments  Stanly Steinberg
Abstract for Stanly Steinberg's article in Comparative CAS Reviews and Philosophy, suggesting six ways computer algebra systems could be improved.
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 Computer Algebra Information Network (CAIN)
A server providing information about Symbolic and Algebraic Computation, set up by the European SAC (Symbolic and Algebraic Computation) Network. The site maintains bibliographies, supports electronic newsletters, and announces current conferences, software
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 Computer Algebra Systems in Calculus Reform  Lisa Denise Murphy
A literature review that starts with a brief history of the calculus reform movement and goes on to describe several studies in which computer algebra
systems (CAS) were used in introductory calculus courses. With the beginnings of an annotated list
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 Computer Animated Statistics  Adriano Garsia, University of California, San Diego
Java applets for probabilistic studies of picking fortunes from a limited supply of fortune cookies, picking prizes from an unlimited supply of cereal boxes, and Breaking the Bank (roulette). Also, Let's Make a Deal, an interactive solution to the Monty
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 Computer Art and Tessellations  Hans Kuiper
A site about tessellations (tiles, tessels or regular patterns), infinity pictures, optical art, Islamic art, optical illusions, auto stereograms, company logos, quilt patterns and palindromes. Figures, patterns, textures and wallpaper drawings inspired
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 ComputerBased Assessment  Univ. of Wolverhampton (UK)
Designed to replace written tests. Each test generates an exam randomly from a possible 80,000 variations and then delivers, marks and gives feedback on it. Tests are now available free for others to use and include: basic statistics test (topics include
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 ComputerBased Calculus  Przemyslaw Bogacki, Gordon Melrose; Old Dominion University
Archives of the ODU Calculus Project project, which has the goals of enhancing students' graphical and numerical understanding of calculus, and making the software/hardware aspect of the course as transparent as possible. With access to the preliminary
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 The Computer Delusion  Todd Oppenheimer, The Atlantic Monthly magazine
A July 1997 article critical of the effects of the classroom use of computers.
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 Computer Generated Art Gallery  Tom Ellis
Original computergenerated fractal images. Mandelbrot Sets; Mandelbrot zoom rendered onto a sphere.
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 Computer Generated Islamic Star Patterns  Craig S. Kaplan
Islamic star patterns are a beautiful and highly geometric art form whose original design techniques are lost in history. This site describe one procedure for constructing them based on placing radiallysymmetric motifs in a formation dictated by a tiling
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 Computer Graphics  Brad Shelton; Dept. of Mathematics, University of Oregon.
Thirty computer graphics (knots, braids, a mobius trough) and four movies (torus, spirograph) created with Mathematica.
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 Computer History Museum
The Computer History Museum presents and preserves for posterity the artifacts and stories of the information age. Exhibits include histories of the Internet and of computer chess; and a working model of the Babbage Engine, first undertaken by that mathematician
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 Computer Lab Courseware  University of Toronto
Courseware to help in the teaching of various mathematical concepts. Most is made up of Mathematica notebooks and packages, but some consists of C programs written to run under XWindows. A lab manual in TeX beginning with an introduction to UNIX and
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 Computers and Education  Crawford Kilian
Links to interesting and useful sites, advice on how to join some good listservs, and some of Kilian's articles on what computers and educators are doing to each other, including "Why Teach Online," "Education@Home," "Spinning a New Web of Learning,"
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 Computers and Internet : Hardware : Calculators : Hewlett Packard  Yahoo
Yahoo's Web page of sites having to do with HP Calculators.
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 Computer Science Education Week  National Computer Science Education Week
The materials from Computer Science Education Week inspire exploration of the field any time: defining documents; posters, brochures and kits; reports and presentations; data/computer science facts; curriculum; programs and ideas; videos; and contests.
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 Computer Science & Mathematics Directory  Israel Science and Technology Homepage; Israel Hanukoglu
Directory listings for academic departments, companies, government agencies, libraries, service centers, associations, and conferences in Israel. Also links to databases and journals. From Israel's national directory of science and technology.
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 Computer Science Unplugged  Tim Bell, Ian H. Witten, and Mike Fellows, University of Canterbury, New Zealand
A free collection of activities designed to teach the fundamentals of computer science without requiring a computer. Because they're independent of any particular hardware or software, Unplugged activities can be used anywhere, and the ideas they contain
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 Computers, Free Will, and Marching Ants (Math Chat)  Frank Morgan; Christian Science Monitor
Is it logically possible for a computer to have free will?
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 Computer Simulations in Physics  Maciej Matyka
Physically based modelling simulations. Examples: Simple Newton Dynamics; Particle Dynamics Engine; Waves equation; Cellular automata; Incompressible NavierStokes; Fluid Calculations; Quantum Mechanics; Rigid Cloth Behaviour Classical and quantum physics,
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 Computer Software for Math Education  Math Forum
The Math Forum's page of suggested archives for downloading mathematics software.
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 Computer Solution Central
Shareware games for Windows machines and PDAs. Includes a free solitaire game, educational games focusing on addition and multiplication, and a date calculator.
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 Computing at the Edge  Ivars Peterson  Science News Online
To study and predict boundary effects, researchers have struggled to accurately capture erratic, complicated behavior in a computer model. In recent years two schemes for calculating what happens at rapidly evolving interfaces have provided new insights
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 Computing Before Computers  Brian Borchers, New Mexico Institute of Mining and Technology
Online introductions, with PostScript or PDF downloads, of Napier's Bones and of the GenailleLucas Rulers. Pictures of statistical computing devices such as the Pickett N525ES Statrule, the cumulative binomial probability computer, the General Dynamics
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 Computing Fibonacci Numbers on a Turing Machine  Alex Vinokur
An algorithm that computes Fibonacci numbers on a Turing Machine. Transition table contains 100 rules. The program computes a Fibonacci number. A number 'n' is represented by n 1s. Input: number 'n'. Output: Fibonacci#n.
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 Computing Huffman Codes on a Turing Machine  Alex Vinokur
An algorithm that computes Huffman codes on a threetape Turing Machine. Transition table contains 243 rules. Input: Tape#0  weights, Tape#1  empty, Tape#2  empty. Output: Tape#0  weights and its Huffman codes, Tape#1  empty, Tape#2  empty.
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