 Basic Linear Algebra Subroutines (BLAS)
Routines that provide standard building blocks for performing basic vector and matrix operations. The Level 1 BLAS perform scalar, vector and vectorvector operations, the Level 2 BLAS perform matrixvector operations, and the Level 3 BLAS perform matrixmatrix
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 The Basics of MRI  Joseph P. Hornak; Rochester Institute of Technology
An introduction to magnetic resonance imagining, which is based on the principles of nuclear magnetic resonance (NMR), a spectroscopic technique used by scientists to obtain microscopic chemical and physical information about molecules. See, in particular,
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 Calc3D  Andreas Greuer
Calc 3D is a free program for calculating 3dimensional vectors, matrices and
complex numbers with Windows 95/98/NT. Cartesian coordinates, spherical coordinates und cylindrical coordinates can be transformed into each other.
Distances, intersections,
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 Calculus&Mathematica  University of Illinois at UrbanaChampaign, Ohio State University
A computerbased course about calculus, differential equations, and matrix theory, which the instructor can use as soon as the computers are unloaded at the classroom door. Includes a complete electronic text combined with a set of problems for the students
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 CLKCalculator  Lars Kobarg
Reverse Polish notation Calcualtor is a calculator program for Windows with unit conversion and matrix calculator, functions for vectors and complex numbers, and a
function plotter.
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 Contradancing and Matrices  Ivars Peterson (MathLand)
Bernie Scanlon, a mathematics instructor at Bakersfield College in California, has been dancing nearly every weekend since 1990, even traveling to distant parts of the country to join in the fun. His passion is contradancing  a dance form unknown to
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 Cryptography  Corey Reed
An introduction to cryptography, in particular affine enciphering applied to the alphabet, focusing on the use of linear algebra. Includes a primer on bases and modulus algebra and extensions for deciphering an affine enciphered message, using keys to
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 David Goodman's Math Links  David Goodman, editor
Link listings for a variety of topics, organized by those topics.
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 David Marius Bressoud
David Bressoud has written several undergraduate textbooks that use physics and the history of mathematics to motivate the study of multivariable calculus, number theory, real analysis. Other books include A Course in Computational Number Theory and
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 Dekov Software
Educational software, a journal of computergenerated Euclidean geometry, and a computergenerated encyclopedia of Euclidean geometry. Current software titles include: Solving Triangles (stepbystep solutions to triangle problems in elementary geometry);
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 Effortless Algebra  maranGraphics Inc.
Flip and skip through the 305 pages of Effortless Algebra online. Laid out with a "visual grammar," this book covers fractions, exponents, matrices, polynomials, and radicals; solving basic equations, quadratic equations and inequalities; graphing linear
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 FUNdamentally MATH  Chip Publications
A commercial DOS/Windows program covering kindergarten through grade 12 math topics (Basic skills: Addition, subtraction, multiplication, division, negative numbers; Fractions: ordinary and decimal; Middle school geometry; Exponents: powers, roots, number
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 Future School
Developer of educational software, online tutoring, and home schooling courses. Video tutorials. Sample lessons and ordering information available.
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 Gary Haynes  Gary Haynes
Course syllabi, lesson plans, homework, and objectives. Visit "Tangrams and Other Games" for an interactive tangram story and a Flash presentation on how to develop an understanding of functions through the use of the motion sensor.
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 Go Directly to JAIL!  Andrew Pinzler
The longterm probabilities in the Parker Brothers game Monopoly: an exploration into which Monopoly game board properties are occupied more frequently than others. Developed from a high school science project, this site is organized as a lab writeup.
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 The Hadamard Maximal Determinant Problem  Will Orrick, Bruce Solomon
The site lists the largest known determinants of {1,1} matrices. It also has links to other online
sources of large determinant matrices and references to the literature.
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 Homogeneous Transformation Matrices  Daniel W. VanArsdale
Explicit ndimensional homogeneous matrices for projection, dilation, reflection, shear, strain, rotation and other familiar transformations.
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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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 Introduction to Matrix Algebra  Autar Kaw
A free matrix algebra book in PDF format for freshman engineering and science students who do not take a formal course in numerical methods or take matrix
algebra as a part of another course such as Numerical Methods or Differential Equations.
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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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 Java Set Theory Machine  Jay Tomlin
Musical set theory encompasses the notion of defining sets of pitches and organizing music around those sets and their various manipulations. The site offers a Java applet that allows you to manipulate pitch class sets: play them, rotate and invert them,
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 Learning in Motion
Learning in Motion creates and publishes innovative software for K12 education. Monthly listing of the Top 10 Educational Web Sites; Knowledge Forum, a student knowledgebuilding environment; Measurement in Motion, a math/science learning tool (demo
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 Making Mathematics  O'Reilly Media, Inc.
Learn mathematics by making math with Hilbert, an online version of Mathematica. The Making Mathematics syllabus and course platform presents students with computational examples to explore  and challenges them to create their own.
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 Maple Application Center  Waterloo Maple, Inc.
Software you can order to explore, share, and publish math on the Internet. Interactive media for exploring and exchanging mathematical ideas, with content on a variety of subjects at the high school, university, and graduate level. (There are high school
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 Math Applets  Tristan de Frondeville, Educational Object Economy (EOE)
The author, a math teacher in San Franscisco, describes how he has begun to use Java Applets in his classes and the results he has been getting. The applets are linked at their descriptions in the text.
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 Mathematical Biology Pages  Brandeis University
In contemporary biology there are many areas which depend heavily on rather advanced mathematics. This site demonstrates a few of these through Shockwave, Java, and JavaScript explorations. Dixon's Population Pages (exponential growth, nonlinear terms
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 Mathematical Circles Topics  Tom Davis
Mathematical Circles are for students of high school age or younger who want to increase their abilities to reason about mathematical problems. Students who study in circles learn to do mathematical olympiadstyle problems (essay or proofs, not quick
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 Mathematical Problems  Torsten Sillke
Some in German, most in English. Topics include graph theory, number theory, combinatorics (enumerations), geometry, algorithms and complexity, recreational mathematics, tiling and packing, dissections, probability, algebra, analysis. Also links to "MathNews"
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 Mathematiksoftware S I und SII (vorwiegend Shareware)  Monika Schwarze
Eine Zusammenstellung nützlicher Mathematikprogramme aus dem SharewareMarkt zur Aufarbeitung von Lernrückständen, Wiederholung und Stärkung der Sicherheit mathematischer Rechenroutinen. Vor allen die Programme für die SII dienen der Überprüfung gemachter
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 The Mathman  Don Cohen
Materials for sale for K12 students, teachers and parents; precalculus. Materials include Get Ready for Calculus (Calculus By and For Young People book, CDROM, worksheet book, videotapes and map) and Changing Shapes with Matrices. Patterns, visualization,
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 Math (Splines, Numerical Analysis, Graph Theory, Real Analysis)  Josh W.; Typhon Software
A collection of Java applets (may not work with older versions of Java) for investigating splines, finding roots of polynomials, manipulating matrices, drawing and analyzing graphs to study graph theory, etc.
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 Math Worksheets Land
Thousands of downloadable math worksheets, aligned to the Common Core State Standards (CCSS) and with solutions, by a retired teacher: addition, algebra, area and perimeter, basic operations, complex numbers, counting, decimals, division, estimation,
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 Matrices, Circles, and Eigenthings  Ivars Peterson (MathTrek)
Last month [July, 1999], the Mathematical Sciences Research Institute (MSRI) in Berkeley, CA, hosted the Olga Taussky Todd Celebration of Careers in Mathematics for Women. The conference showcased the research of outstanding women in mathematics and highlighted
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 Matrices Help Relationships  William A. McWorter Jr.
This page uses examples to illustrate the use of matrices in solving problems of relations between variables, and continues with an "airline" problem involving networks, also solvable with matrices. The page is hosted by Alexander Bogomolny's Interactive
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 Matrix Calculator
Key in a matrix of any size, cell by cell, then click the buttons for worked derivations of its determinant, inverse, eigenvalues, diagonal matrix, or lower upper (LU) decomposition. Input the cells of a second matrix to multiply, add, or subtract it
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 Matrix Calculator  Jim McCoy, Canned Doit Software
Software for MS Windows operating systems. Download a 7 day evaluation copy or purchase a license.
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 Matroid Theory  Sandra Kingan
Matroids are an abstraction of several combinatorial objects, among them graphs and matrices. The word matroid was coined by Whitney in 1935 in his landmark paper "On the abstract properties of linear dependence." In defining a matroid Whitney tried to
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 Merlin's Magic Squares  Cut the Knot!, Alexander Bogomolny
The toy game of Merlin is not quite trivial and the mathematics is simple enough to provide an entertaining exercise in a Linear Algebra class. The original game is played on a 3x3 array of buttons that toggle between two states. The goal of the game
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 Numerical Analysis  JeanPierre Moreau
Numerical analysis source code in BASIC, C++, FORTRAN, or Pascal. Program topics include real and complex roots, evaluation of Bessel functions, signal processing, matrices, and statistics.
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 Olimpíada Brasileira de Matemática  Sociedade Brasileira de Matemática (SBM)
The Olimpíada Brasileira de Matemática (OBM) is a competition open to all students enrolled in Brazil's fundamental or middle studies. Browse or download archived exam problems and solutions dating back to 1997. Read news about olympiads, or the journal
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 Online Math Calculator
This collection of free online calculators includes a scientific calculator that accepts inputs of entire matrices and equations, calculates derivatives, and plots functions. Onebutton unit conversion calculators convert between Celsius and Fahrenheit,
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 Online Matrix Calculator  Trifon Triantafillidis, Bluebit Software
This is an online matrix calculator, featuring Determinant calculation, LU Decomposition, Matrix Multiplication, Matrix Trace, Cholesky Decomposition, Systems of Linear Equations, Matrix Rank, QR Decomposition, Matrix Inverse Singular Value Decomposition,
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 Oscience.info  Subash Chandra
Introductions to limits and continuity, derivatives and antiderivatives, functions and graphs, matrices and determinants, properties of triangles, set theory, basic trigonometric formulae, and trigonometric functions and identities. See also Oscience's
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 Peanut Software for Windows  Rick Parris
Abstracts and links for downloading free mathematics software: Wingeom (highprecision geometric constructions); Winplot (generalpurpose plotting utility); Winstats (scatter plots, curve fitting, histograms, statistical data, and standard theoretical
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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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 Professor L N Trefethen, Numerical Analysis  Balliol College, Oxford University, UK
Links to books and recent papers by the head of the Numerical Analysis Group at Oxford University. Books include: Spectral Methods in Matlab, Finite Difference and Spectral Methods, Numerical Linear Algebra, and Spectra and Pseudospectra.
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 Project Poison Applet  Computer Science Dept., Trinity College Dublin
A site created by firstyear computer science students as a Java programming project. Each of 12 topics (Algebra; Geometry; Trigonometry; Calculus; Matrices; Sequences & Series; Complex Numbers; Vectors; Probability; Groups; Further Calculus; Further
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 The Quake Project  The Department of Civil and Environmental Engineering and the School of Computer Science at Carnegie Mellon University; and the University of Southern California's Southern California Earthquake Center (SCEC)
An NSF and DARPAfunded project developing the capability for predicting, by computer simulation, the ground motion of large basins during strong earthquakes, and using this capability to study the seismic response of the Greater Los Angeles Basin. Research
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 Research Group in Mathematical Inequalities and Applications (RGMIA)  RGMIA and Victoria University, Australia
The Research Group in Mathematical Inequalities and Applications disseminates results via publication (both in print and electronic form) and conferences; creates an awareness of the theory of inequalities and support seminars and visiting academics;
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 Resources for Tan's Applied Finite Mathematics  S.T. Tan; Brooks/Cole Publishing Company
Chapterbychapter exercises, practice quizzes, practice tests, suggested group projects, review questions, and other sample resource materials for students and instructors using Tan's Applied Finite Mathematics, Fifth Edition. Also, stepbystep instructions
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