 An Introduction to Fourier Theory  Forrest Hoffman
A paper about Fourier transformations, which decompose or separate a waveform or function into sinusoids of different frequencies that sum to the original waveform. Fourier theory is an important tool in science and engineering. Contents: Introduction;
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 An Introduction to Kolmogorov Complexity and Its Applications  Li, Vigányi
2nd edition textbook on the subject, which can be ordered through the Web. A postscript file of contents is also available. The incompressibility method and Kolmogorov complexity is a versatile mathematical tool, a sharper relative of classical information
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 Introduction to Stochastic Search and Optimization  James C. Spall
Estimation, Simulation, and Control. A site in support of the book: Spall, J. C. (2003), Introduction to Stochastic Search and Optimization, Wiley, Hoboken, NJ. The site includes software, PowerPoint slides, and related information for reseach and educational
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 An Introduction to Wavelets  Amara Graps; Institute of Electrical and Electronics Engineers, Inc.
A paper giving an overview of wavelets: mathematical functions that cut up data into different frequency components, and then study each component with a resolution matched to its scale. Wavelets have advantages over traditional Fourier methods in analyzing
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 Intute  Intute: Science, Engineering and Technology
Discover Internet resources for teaching, learning and research, covering the physical sciences, engineering, computing, geography, mathematics and environmental science. See, in particular, the Intute Mathematics Gateway. Intute: Science, Engineering
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 Inverse Problems in Geophysics  Gennady Ryzhikov, Marina Biryulina
Links to sites that provide information about inverse problems in geophysics, novel transforms and signal enhancement, imaging, seismic data processing, etc.
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 IOSO Technology Center
Technology for numerical optimization. IOSO (Indirect Optimization on the basis of SelfOrganization) Technology is based on response surface techniques and differs significantly from wellknown approaches to nonlinear programming. The proposed optimization
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 IPNet: Inverse Problems Network  Patricia K. Lamm, Michigan State University
A network for researchers working on inverse and/or illposed problems, inverse methods, and data inversion methods, including applications to tomography, systems identification, nondestructive evaluation and nonlinear evolution equations. IPNet promotes
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 Ira M. Gessel
This is a list of Ira Gessel's recent papers in combinatorics. Most of them must be downloaded in pdf, .dvi, or gzipped PostScript formats.
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 Irish Mathematical Society
Furthers mathematics and mathematical research in Ireland. Twiceyearly bulletin, membership information, meetings, and current job openings.
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 Isaac Newton Institute for Mathematical Sciences  Isaac Newton Institute
The Isaac Newton Institute is an international research institute for the mathematical sciences. Announcements; seminars; past, current, and future programmes; and institute reports, publications, videos, and artefacts, such as sculptures, busts, and
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 Isabel's Math Blog  Isabel Catherine Lugo
A log of "interesting mathematicsrelated things" found on the web. The author studies mathematics at MIT, and since April of 2004 has used the blog to "... talk about interesting mathematics I come up with myself  mostly toy problems, but I might even
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 IsarMathLib
IsarMathLib is a library of proofs that have been checked with Isabelle
proof assistant, based on the Isabelle's ZF logic. The emphasis is put on
readibility. The proofs are written using Isar syntax and can be read and
followed by any person familliar
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 iSquared Magazine  Institute of Mathematics and its Applications
Archives of a printonly publication that showcased "the wide range of modernday applications of mathematics." Published from 2007 to 2010, each issue of iSquared contained news items, a mathematical histories feature, book reviews, a biography of a
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 Is Space Finite?  Luminet, Starkman, Weeks, Scientific American
Conventional wisdom says the universe is infinite. But it could be finite, merely giving the illusion of infinity. Upcoming measurements may finally answer this ancient question. Subtopics include: Comfort in the Finite; Eightfold; Cosmic Crystals; and
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 Is that a fact?  Keith Devlin (Devlin's Angle)
I'll bet that, like me, you have known for years that, as far as the brain is concerned, it's all down hill from the moment we get our driver's license. Every day, another ten thousand cells die. Or is it a hundred thousand? A million? No matter, it's
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 IV Americas Conference on Differential Equations and Nonlinear Dynamics
The Group of Differential Equations at Universidad de Los Andes hosted the Fourth Americas Conference on Differential Equations and Nonlinear Dynamics from October 30 to November 3, 2000, in Mérida, Venezuela. This biennial conference has been
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 Ivan José online  Ivan José Varzinczak
Research on logicbased knowledge representation and reasoning in Artificial Intelligence. Research areas: logicbased knowledge representation and reasoning; description logics, ontology engineering and semantic web; nonmonotonic reasoning, belief revision
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 Jacket's Wavelets  Brani Vidakovic; Georgia Institute of Technology
The Georgia Institute of Technology Wavelet Group. Software, courses, books, research papers, data sets, links to wavelet applets and pages.
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 The Jahrbuch Project
A searchable archive of mathematical publications of the period 18681942 and a database based on the "Jahrbuch über die Fortschritte der Mathematik."
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 Jamato: JAva MAtrix TOols  Yann Richet
A Java package designed to allow basic matrix manipulation and visualization in MATLABlike programing. Derived from the JAMA package (by the NIST and MathWorks Inc.), Jamato includes manipulation and visualization tools in addition to JAMA numeric algorithms.
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 James B. Calvert
Essays on a wide variety of topics, including mathematical, by an Associate Professor Emeritus of Engineering, University of Denver: The Beautiful Theory (The analytical mechanics of Euler, Lagrange, Hamilton and Jacobi, key to Relativity and Quantum
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 James Franklin
Research activities, books, articles, opinions, and more from the author of What Science Knows and The Science of Conjecture: Evidence and Probability Before Pascal. Franklin researches and teaches about the philosophy of mathematics in the School of
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 James Propp
James Propp studies tilings, games, and other aspects of combinatorics, probability, and dynamical systems. Many of his articles are available for download in PostScript and gzipped PostScript formats. Code for C programs related to tilings and cellular
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 Japanese Association of Mathematical Sciences (JAMS)
A scientific research organization whose main activity is to publish scientific journals in English, French or German, in particular Scientiae Mathematicae Japonicae. Journal and submission information, newsletter, and meetings. Also available in Japanese.
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 Japanese Centre for Combinatorics and its Applications  Ryoh FujiHara; University of Tsukuba
Links to conference information, journals, information resources, related organizations, and home pages of combinatorial people.
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 Japan Society for Industrial and Applied Mathematics
An interdisciplinary society to contribute to innovation in science and technology. Membership information and publications, including the Japan Journal of Industrial and Applied Mathematics. More information is available in Japanese.
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 Java applets  Terence Tao, UCLA
Experimental Java applets of Besicovitch sets, conformal compactifaction, honeycombs, the complex plane, elementary complex maps, Mobius transforms, multivalued functions, the complex derivative, the complex integral, Taylor and Laurent series, the fundamental
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 Java Exploration Tool for Dynamical Systems  R. Wegenkittl and E. Gröller
A Java Applet for the visualization and exploration of twodimensional analytical defined dynamical systems. The system is defined by a set of two differential equations, which are evaluated within the chosen region to form a twodimensional vector field.
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 JAVA Gallery of Interactive OnLine Geometry  The Geometry Center
Applets illustrating geometry concepts. WebEQ, Hyperbolic Triangles, Lorenz Simulation, OneDimensional Iteration, Tetris, Leap Fractal, Fractals from Iterated Function Systems, Kali: Wallpaper Patterns. Created by The Geometry Center.
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 Java Math Class  Snorre Narum
A Java applet that renders equations or expressions in graphical form, from TeXstyle entries.
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 Java MATrix tools package
JMAT provides an easytouse class of matrix with MATLABlike functions and syntax. JMAT also includes plots and histograms in 2D or 3D, an expression parser, and some statistics simulation tools.
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 JavaSketchpad Center  Key Curriculum Press
JavaSketchpad is software that lets you interact with or publish on the Internet sketches from The Geometer's Sketchpad, a Dynamic Geometry exploration environment for Macintosh and PC computers. JavaSketchpad can be used to share geometry work with people
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 Java Square Cell  Brian Prentice
Download source code for a 2D cellular automata Java simulator and a large collection of patterns, including about a hundred rules that support knight ships.
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 Jeffrey C. Lagarias
A member of the University of Michigan Department of Mathematics. List of publications, with many available for download in PostScript format; Lagarias' research interests include Number Theory, also Computational Complexity Theory, Cryptography, Discrete
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 Jep.Net  Math Parser for .NET  Singular Systems
Jep.Net is a .Net library for parsing and evaluating mathematical
expressions. With this package you can allow your users to enter an
arbitrary formula as a string, and instantly evaluate it. Jep.Net supports
user defined variables, constants, and
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 Jeremy Kun
Primers, galleries of computer programs and math proofs, and more befitting "a place for elegant solutions." Kun, a mathematics PhD student at the University of Illinois in Chicago with a background in computer science, has also blogged since September,
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 J. M. Burgers Centre for Fluid Dynamics
A Dutch research center specializing in fluid mechanics. Mission; information brochure for new members; list of participating groups and collaborators; groups or individuals who do research related to work in the field.
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 JMP: Statistical Discovery Software  SAS Institute
This program presents statistics in a graphical environment. Data tables are presented clearly in spreadsheet form and are dynamically linked to related graphs and tables. JMP offers six statistical analysis platforms including a 3D spin plot, as well
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 JNL, A Numerical Library for Java  Visual Numerics, Inc.
JNL offers numerical functions missing in Java: a numerical type class, Complex; and three categories of numerical functions classes  the special functions class, the linear algebra classes and the statistics class. Language proposal details Visual
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 János Bolyai Mathematical Society
A Hungarian mathematical society. Conference information, books published by the society, and problems from the Schweitzer Miklós Mathematical Competition. More information is available in Hungarian.
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 Jo Boaler
From the author of What's Math Got to Do with It?: How Parents and Teachers Can Help Children Learn to Love Their Least Favorite Subject. Watch a YouTube clip of Boaler teach using Inquiry Based Learning method, or click through her presentation entitled
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 Job Offers in Mathematics  myScience
Mathematics job offers, as collected by an international job board for scientists, researchers, and engineers. Position categories include regular employment, scientific officer/scientific assistant, junior researcher/PhD position, lecturer, senior researcher/postdoc,
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 Jobs for Statisticians and Analysts  Data Shaping Solutions
Jobs in statistics and mathematical finance. A site for employers, recruiters, and applicants.
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 John Allen Paulos
John Allen Paulos is a mathematician and author of the books Mathematics and Humor, I Think, Therefore I Laugh, Innumeracy  Mathematical Illiteracy and Its
Consequences, Beyond Numeracy  Ruminations of a Numbers Man, A Mathematician Reads the Newspaper,and
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 John Baez's Stuff  John Baez
The site features the author's column "This Week's Finds in Mathematical Physics," with archives dating back to 1993. "Fun stuff" includes old posts and email on Bayesianism in probability theory and quantum mechanics; some rambling lectures on knot polynomials,
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 John Lott's Home Page  John Lott, Department of Mathematics, University of Michigan
Lott's research papers, seminar notes, and "officiousness" (CV and bibliography). Download PDFs of journal articles and preprints such as "Notes on Perelman's papers"; "Weak curvature conditions and Poincaré inequalities"; "Ricci curvature for
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 John Moyer's home page  John Moyer
Print all of the primes less than 2000000000 within a range of integers; obtain source code for a sieve program; download a Windows NT commmand line program or a Linux binary program to print the prime factors of an integer; use an online sieve to find
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 Johnny might not be mathchallenged  Keith Devlin (Devlin's Angle)
His problem could just be that he's an auditory learner. An essay on learning styles and how they affect mathematics learning.
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 John Stembridge
John Stembridge researches algebra and combinatorics. His papers on these subjects are available online as gzipped PostScript files. The site contains an archive of related research data such as lists of posets on 8 or fewer vertices and Coxeter graph
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