 Internet Problem Solving Contest  Faculty of Mathematics, Physics and Informatics, Comenius University, Slovak Republic
The Internet Problem Solving Contest (IPSC) is a computer programming contest for teams consisting of up to three people. Teams participate via the Internet. Each problem consists of a problem description and two input data sets. Questions tend towards
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 Internet Public Library  Mathematics Associations
Links to mathematical associations in both short and longer, annotated versions.
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 Internet Public Library  Mathematics Reference
A listing of sites that provide mathematical resources: the study of the measurement, properties, and relationships of quantities, using numbers and symbols.
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 Internet Resources for Higher Education Outcomes Assessment  North Carolina State University
Links to general resources  Discussion Groups, Forums, Archives of Articles, Lists of Links, etc.; Assessment of specific skills or content; Individual institutions' assessmentrelated pages, and Accrediting bodies.
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 Internet Scout Project  Computer Sciences Department, University of WisconsinMadison,
Librarians and educators filtering the Internet, reading hundreds of announcements each week looking for the online resources most valuable to the education community. Subscribe to The Scout Report, a fast, convenient way to stay informed, highlighting
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 Internet Use by Teachers  Teaching, Learning, and Computing (TLC)
The first report published in Teaching, Learning, and Computing to provide data for a nationally representative sample of more than 2,000 teachers on how they did — and did not — use the Internet.
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 Interval Arithmetic for ADA  Dmitry A. Kazakov
A free (GPL) implementation of interval computations in Ada.
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 Interval Computations
What is Interval Arithmetic?; Languages for Interval Analysis; Numerical Toolbox for Verified Computing (information on the book and software; in German and English): Pascal and C++ versions; Interval Software; Roundings Necessary for Interval Computations;
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 Intriguing Tessellations  Marjorie Rice
Famous for discovering four hitherto unknown tilings of pentagons, Marjorie Rice got her start in tessellations reading an article by Martin Gardner. This site features mathematical explanations and examples of several tessellations using pentagons, as
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 Introducing Mathematics
This website looks at some areas of mathematics that are not familiar to most people, such as Ramsey theory and set theory, but introduces them in an uncomplicated manner.
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 An Introduction to Analytic Number Theory  Ilan Vardi, with Cyril Banderier
Lecture notes by Ilan Vardi, IHES, BuressurYvette, December 14, 1998. Introduction; Dirichlet's theorem; The Prime Number Theorem; Chebyshev's bias; references.
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 Introduction to Analytic Number Theory  Noam Elkies
Lecture notes for a course given at Harvard in 1998.
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 An Introduction to Atmospheric and Oceanographic Datasets  National Center for Atmospheric Research (NCAR)
A text or Instructional Aid (IA) that describes, in very general terms, the datasets most commonly used to study the atmosphereocean system, including observations from conventional meteorological sources such as stations and ships, from satellites,
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 Introduction to Chaos Theory  Andrew Ho
Designed for those with little background in mathematics. Topics covered include bifurcation diagrams; the Lorenz, Rossler, and Henon strange attractors; KolmogorovArnoldMoser orbits; and fractal geometry, including the Sierpinski Triangle, Von Koch
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 An Introduction to Continued Fractions  Ron Knott
Continued fractions are just another way of writing fractions. They have some interesting links with a jigsawpuzzle problem of splitting a rectangle up into squares and also with one of the oldest algorithms known to mathematicians  Euclid's Algorithm
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 Introduction To Cryptography  Lawrie Brown
This site provides a summarization of cryptography, including: definitions of terms, basic concepts, history, techniques, tools, and applications.
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 Introduction to Data Analysis: the Rules of Evidence  Levine, Roos; Dartmouth College
An online book in PDF format, with the table of contents viewable on the Web, by two professors in biology and mathematical social sciences. The text covers such items as: Description  the picture that's worth the words; Variation: numbers for the variation,
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 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 Fractals  Paul Bourke
"What is a fractal? B. Mandelbrot: A rough or fragmented geometric shape that can be subdivided in parts, each of which is (at least approximately) a reducedsize copy of the whole. Mathematical: A set of points whose fractal dimension exceeds its topological
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 An Introduction to Group Theory  Loren Pomeroy
An online textbook/tutorial in elementary group theory. Group theory takes an abstract approach, dealing with many mathematical systems at once and requiring only that a mathematical system obey a few simple rules, seeking then to find properties common
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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 Lacunarity  Erik Rauch
Lacunarity is a counterpart to the fractal dimension, and describes the degree of gappiness of a fractal. It is strongly related to the size distribution
of the holes on the fractal and to its deviation from translational invariance; roughly speaking,
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 Introduction to Linear Models: Math 30  Therese A. Stukel; Dartmouth College
An introductory course covering simple linear regression, multiple regression, and analysis of variance, as well as statistical modelbuilding strategies. Regression diagnostics, analysis of complex data sets and scientific writing skills are emphasized.
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 Introduction to Logic and Recursion Theory  Edward Boyden
Notes from a class taught by Prof. Sacks at M.I.T. in the spring of 1998, organized and reinterpreted. Propositional Calculus; FirstOrder Logic; Towards Completeness and Consistency; Recursion Theory – compare this to Sipser’s Computation, Part II; Clarity
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 Introduction to Mathematica  Dave Collins, Outback Software, Ltd.
An introduction to Mathematica, with stepbystep screen shots of Mathematica sessions. Organized into the sections Enduser computation, Plotting computational results, Programming in Mathematica, Using Mathematica for technical publishing, and Integrating
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 Introduction to Modeling via Ordinary Differential Equations  Fioravante Patrone
PDF file: Introduction to modeling by means of differential equations, with critical remarks.
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 Introduction to Number Theory  X.D. Jia; Southwest Texas State College
Lecture notes (1996): Factorization of Integers; Congruences; Quadratic Residues; Continued Fractions.
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 An Introduction to Orbifolds  John Conway, Heidi Burgiel; The Geometry Center
Defining the word and computing the orbifolds of wallpaper patterns and finite objects in 3space. After compiling a list of all the features that can appear in an orbifold, these pages provide the tools needed to discover all the symmetry groups of the
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 Introduction to Ordinary Differential Equations with Mathematica  Gray, Mezzino, Pinsky
A number of ODE labs, with a Mathematica package ode.m that allows series solutions of ODEs. Examples, exercises, lab assignments, miscellaneous notebooks, movies, an ODE reference manual, and links to portraits of mathematicians.
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 Introduction to Probability  Grinstead, Snell
An online textbook in PDF format, by Charles M. Grinstead and J. Laurie Snell.
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 Introduction to Probability  Grinstead, Snell; American Mathematical Society
A text for a first course in probability that emphasizes the use of computing to simulate experiments and make computations. Read it on the Web or download it. A set of programs (Mathematica, Maple, TrueBASIC versions can be downloaded) goes with the
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 Introduction to Probability, Statistics, and Random Processes  Hossein PishroNik
An open access peerreviewed textbook that introduces probability, statistics, and random processes to undergraduates. The author teaches and researches within the Department of Electrical and Computer Engineering at the University of Massachusetts Amherst.
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 An Introduction to Projective Geometry (for computer vision)  Stan Birchfield
The contents of this paper include: The Projective Plane; Projective Space; Projective Geometry Applied to Computer Vision; Demonstration of Cross Ratio in P^1; and a bibliography. (Euclidean geometry is a subset of projective geometry, and there are
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 Introduction to Symmetries  Chaim GoodmanStrauss; The Geometry Center
Studying symmetries called isometries, which preserve distances. Pattern and symmetry appear in virtually every human culture. Symmetry surrounds us, both in the natural world and in the world of human artifact... the arrangement of needles on a pine
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 An Introduction to the Algebraic Specification of Abstract Data Types  Jean Baillie; Dept. of Computer Science, Univ. of Hertfordshire, U.K.
The technique of algebraic specification of abstract data types is introduced informally beginning with the Signature. Homomorphisms are introduced as structurepreserving relationships between algebras of the signature. Equations may be used to quotient
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 An Introduction to The Gauge Integral  Eric Schechter
An introduction to the gauge integral (also known as the Henstock, Kurzweil, or
generalized Riemann integral), comparing it with the Riemann and Lebesgue integrals. Historical and Bibliographical Overview; The Definition; Simplicity and Concreteness
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 Introduction to Vectors  Prof. Eugene Klotz, The Math Forum
Supplementary material to help students with their first encounter with vectors, and an experiment in the pedagogical possibilities of some modern technology: the World Wide Web has hypermedia capabilities which allow nonlinear use of documents of all
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 Introduction to Wallpaper Patterns  Chaim GoodmanStrauss; The Geometry Center
A unit on about plane patterns whose symmetries are translations, glide reflections, and rotations. Learn how to use a computer program called Kali which generates plane patterns; create and save a design, then learn the definitions of some features of
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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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 Introductory Guide to Statistics  Allan Palmer; University of Queensland, Australia
A tutorial with study pages and illustrations. Topics: Chisquared, bias, ANOVA, distribution, standard deviation, ttest, regression, correlation, inferential/descriptive statistics.
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 Introductory Statistics: Concepts, Models, and Applications  David W. Stockburger; Southwest Missouri State University
A searchable Web text with associated exercises. Contents include: A Mayoral Fantasy; Does caffeine make people more alert?; Models; The language of algebra; Measurement; Frequency distributions; Comparing frequency distributions; Grouped frequency distributions;
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 Introductory Statistics Demonstrations  David Wallace; Ohio University
Animated problems illustrating basic statistics concepts such as Variance and Standard Deviation, ZScores, Sampling Distributions, Standard Error, Confidence Intervals, Power, and ANOVA. With a basic review of algebra and interactive problems and solutions
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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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 Inventing Science: From Thales to Euclid  Gregory Crane, Tufts University
Classics 189: Greek Science. Euclid's synthesis remains the most successful single book on math every written, but advances were made in many other fields such as geography, astronomy and the natural sciences. Aristotle, in particular, laid the foundations
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 Inventor's Paradox  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
A page that looks into different ways a specific statement may be related to a more general one. Pairs of statements in which: one is a clear generalization of another, whereas in fact the two are equivalent; one is a clear generalization of another and
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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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 Inverse Property (IP) Loops (Catalogue of Algebraic Systems)  John Pedersen, W. Edwin Clark; Dept. of Mathematics, University of South Florida
Definition, examples, and references about IP Loops, and links to related terms in the Catalogue.
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 Inverse Property (IP) Quasigroups (Catalogue of Algebraic Systems)  John Pedersen, W. Edwin Clark; Dept. of Mathematics, University of South Florida
Definition, examples, and references about IP quasigroups, and links to related terms in the Catalogue.
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 Inversion Geometry  Paul Kunkel
The elementary concepts are explained, with a quick reference for other lessons that employ inversion geometry.
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 Investigations in Mathematics  Eric S. Rowland
Openended problems for high school and college students to "approach creatively and in their own way": Pascal's simplices ("What is the generalization of Pascal's triangle?"), Pythagorean triples, regular polygons ("What is the area of a regular polygon
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