 Counterexamples in Clifford Algebras  Pertti Lounesto, Helsinki Institute of Technology
Counterexamples to theorems published and proved in recent literature on Clifford algebras, spinors, spin groups and the exterior algebra, many stemming from the failure of the authors to check their statements in low dimensions, or for small numbers
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 The Counterexamples in Functional Analysis Home Page  Mohammad Sal Moslehian
A collection of new and classic examples in functional analysis and operator theory for graduate students, nonspecialists and any interested reader. The examples are related to Banach and Hilbert Spaces, Operator Theory, Banach Algebras, Topological
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 The Counterfeit Coin  Ivars Peterson (MathTrek)
The classic puzzle of the counterfeit coin has long served as a stiff test of one's reasoning power and ingenuity. In its standard form, the problem concerns 12 coins identical in size, shape, and appearance. One coin, however, is counterfeit, having
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 Counting And Graphing (SMILE)  Vernita Smith, Mahalia Jackson Elementary School
A lesson for grades 12 designed to introduce counting from 125 and graphing using the pie graph and the bar graph. From the Graphs and Visuals section of a collection of almost 200 single concept lessons by the Science and Mathematics Initiative for
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 Counting and Place Value (SMILE)  Carole Gills, Edward Coles School
A lesson for grade 1 designed to give first grade students a concrete understanding of place value by providing concrete opportunities to practice counting, adding, and subtracting, using a phenomenological approach. From the Arithmetic section of a collection
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 Counting by Twos  Ivars Peterson (MathTrek)
How much is a megabyte? Many people don't really know. The problem originated decades ago when computer professionals noticed that 2^10 is very nearly equal to 1,000, and they began using the metric prefix "kilo" to mean 1,024. That was okay when computers
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 Counting Cards  Chris Taylor
A teaching aid that uses simple graphic designs on cards to represent different place values and numbers, from 1 up to one million, for teaching addition, subtraction, multiplication, division, and place value concepts. The site offers a teachers guide,
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 The Counting Game  Chris Malumphy
A game for children starting to count, showing a number of objects and asking you to click on the correct number button. A thermometer graphic tells you when you have correctly answered ten questions.
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 Counting Hamilton Cycles in Product Graphs  Frans Faase
Exploration of Hamilton paths through a program which draws a snake that starts at one place in a box, and then extends itself until it cannot go further, after which it shrinks again, to seek another path. The author coded these snake programs in Fortran,
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 Counting Points on Elliptic Curves  Fouquet, Harley, Gaudry, Morain
The authors, Ph.D. students at the Laboratoire d'informatique de l'École polytechnique, Paris, have established new records for point counting in characteristic 2, using a new algorithm due to Takakazu Satoh.
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 Counting: The Beginning of Mathematics  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
An introduction to and a detailed description of the process of counting, with applets for exploring addition, multiplication, and division.
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 Counting to Calculus: Mathematics  William K. Bradford Publishing Co.
Math software, printed supplements, workbooks, textbooks, posters, and teacher tools available for Elementary, Middle and Secondary math curriculum.
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 Counting Triangles  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
Division of a square by evenly spaced lines parallel to its sides yields a number of small squares which is clearly square. Interestingly, the same is true for a triangle divided by evenly spaced lines parallel to its sides. The page contains a dynamic
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 Counting Triangles (SMILE)  Mamie P. Scott, Coles School
A lesson for grade 6 designed to teach students to organize, summarize, and record information; and to discover a rule or formula that will find the total number of triangles in a figure. From the Patterns and Logic section of a collection of almost 200
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 Count Madness Number Puzzles  James E. Garner
Cards with questions covering a wide range of subjects, each of which can be answered with a counting number. Answers are upsidedown on the card. Examples and ordering information provided on site. Teacher's copy available.
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 Count Mathula  Michelle Anderson
Worksheets for Anderson's Algebra III and Trigonometry classes, available as MS Word downloads, editable using MathType, and also as PDFs: functions, complex numbers, trigonometry. Resources include premade graph paper in PDF format to download.
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 Count On  Department for Education and Employment, UK
Activities and resources  some simple and some fancy  for parents, teachers, and students. Resources offers, among other things, guides: to mathematical misconceptions; for parents helping with homework; for promoters of math fairs; and for providers
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 Count the Apples  simplyfluid.com
A free online learning tool that uses images of apples to help preschoolers
and kindergarteners learn to count up to 10 by both numbers and words. There are 4 levels of increasing difficulty for sequence and image patterns.
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 Count the Computer Mice  Andrew Neil Olscher
A counting 'book' for young children to practice learning to count, spell, and recognize their numbers from 110.
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 Count Us In!  Australian Broadcasting Corporation
Fifteen colorful counting and math games designed to help young children understand basic number concepts. Each game has directions and some have levels of difficulty to choose from. Number concepts include: Comparing and Classifying; Patterning; Counting;
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 A Course in Homological Algebra  E. Lee Lady; University of Hawaii
A collection of graduate course notes. Files are in PDF and DVI formats. Contents include: tor, flatness, and purity; syzygies, projective dimension and global dimension; Gorenstein rings and modules; Auslander's proof of Roiter's Theorem; and a list
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 A Course in Number Theory for High School Students  David Garlock
For students who have completed algebra, geometry, trigonometry, precalculus
and calculus and are looking for new challenges. It could also be taken as a summer course or as an independent study in the midst of the traditional math sequence. Download
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 Course Materials Online  College of Education, San Diego State University
Courses online in Administration, Rehabilitation and Postsecondary Education; Education; Educational Technology, including multimedia development and distance education. Also humanistic and social aspects of teaching, from the School of Teacher Education.
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 Course Notes  J. S. Milne
Full course notes in dvi, pdf, and postscript formats for all the advanced courses J. S. Milne taught at the University of Michigan between 1986 and 1999: Group Theory; Fields and Galois Theory; Algebraic Number Theory; Class Field Theory; Modular Functions
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 A Course on the Web Graph  Anthony Bonato
A comprehensive introduction to stateoftheart research on the applications of graph theory to realworld networks such as the web graph. It is the first mathematically rigorous textbook discussing both models of the web graph and algorithms for searching
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 Course Project Suggestions (Geometry and the Imagination)  Conway, Doyle, Gilman, Thurston; The Geometry Center
An list of suggestions for projects in geometry, topology, symmetry, making geometric solids, calendars, spherical and hyperbolic trigonometry, puzzles, models, etc. Projects were to be exhibited at the Geometry Fair at the end of the course.
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 CourseServer  Jud Cornish; Fairbanks Country Day School, San Diego, CA
A Webhosted math problem generator that allows you to select from thousands of different problem types and automatically generate problemandanswer worksheets in your browser that can be printed out. Choose from a list of courses from Grade 1 (beginning
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 Courses I Teach  John Cosgrave; St. Patrick's College, Dublin, Ireland
Lecture notes from three courses given at St Patrick's College, Dublin: Maple/Calculus/Analysis; Number Theory; Number Theory and Cryptography.
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 Covering and Packing (The Geometry Junkyard)  David Eppstein, Theory Group, ICS, UC Irvine
An extensive annotated list of links to material on covering and packing problems.
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 Covering Systems, Restricted Sumsets, Zerosum Problems and Their Unification  ZhiWei Sun
Three famous topics in combinatorial number theory and a unified theory of them.
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 Covering Up (MatheMUSEments!)  Ivars Peterson (Math Muse for Kids)
Have you ever wondered why the cover of a manhole is nearly always round? Why couldn't it be oval or square? The usual answer is that a circular lid, unlike a square or an oval cover, won't fall through the opening, but the circle isn't the only shape
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 The Cow in the Classroom  Ivars Peterson (MathLand)
Math Curse by Jon Scieszka and Lane Smith spoofs the types of word problems that educators and textbook writers invent to dress up arithmetic exercises and, supposedly, to demonstrate the relevance of math to everyday life. Canadian economist and humorist
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 CPAIOR 2001: Third International Workshop
Third International Workshop on Integration of Artificial Intelligence and Operations Research Techniques in Constraint Programming for Combinatorial Optimization Problems. Wye College (Imperial College), Ashford, Kent UK; 810 April, 2001. Papers available
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 CPMPTools  CorePlus Mathematics Project (CPMP)
CPMPTools is a suite of both general purpose and custom software tools designed to support student investigation and problem solving in the 2nd edition CorePlus Mathematics texts. The CorePlus Mathematics Program was one of five designated as "exemplary"
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 CPO Online  Cambridge Physics Outlet
A company founded by teachers and scientists that creates handson equipment and curriculum for teaching science, math, and technology from grades 412 and beyond, and provides effective professional development in science and math that is both content
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 C Program Math Functions  Dave Norman
Examples of C coding for some maths problems. Current functions are atan
(double x), cos (double x), and sin (double x).
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 Cracking a Medieval Code  Ivars Peterson (MathTrek)
The first printed book on cryptology was written by Johannes Trithemius (14621516), an abbot in Spanheim, Germany, who was one of the leading intellectuals of his day. Bearing the title Polygraphiae libri sex ("Six Books of Polygraphy"), it was published
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 Cracking Kepler's spherepacking problem  Ivars Peterson; Science News Online
The familiar piles of neatly stacked oranges at a supermarket represent a practical solution to the problem of packing spheres as tightly as possible. Now, a mathematician has proved that no other arrangement of identical spheres fills space more efficiently.
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 Cracking the Myth of Ball Control  Ivars Peterson (MathLand)
Ball control has become common practice in a number of sports. In basketball, for example, coaches often urge their teams to slow down a game at certain times or to control its tempo. In professional football, "time of possession" has become a statistic
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 Crackpot Index  John Baez
A fun site which outlines how you can tell if a new theory is really from a "crackpot."
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 The Crafoord Foundation
For the promotion of scientific training and research; and also the care, upbringing and education of children and young people. Apply for scientific research grants, and see grant awardees. The Royal Swedish Academy of Sciences awards a Crafoord Prize,
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 Crafty Puzzles  James Cole, The Crafty Puzzles Company
A U.K. establishment selling wooden puzzles of all sorts: jigsaw puzzles, puzzle boxes, brain teasers, models, and functional pieces.
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 Cram Central: Advanced Placement Exam Prep  Apex Publishing
An online environment for AP review, with preparation tools and connections to AP students around the country. Free registration; strategies, resources, and study tips for students; strategies, resources, and a teachers' forum. Course outlines and online
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 A Craps Tutorial  Odds, Probability, and House Edge  Gayle Tellis
Intended to help students and teachers of math learn how to convert odds to probability (and viceversa) and to compute house edge of simple games such as craps and roulette. Includes a section on the rules as well.
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 A Crash Course in Symbolic Logic  D.J. Brasier; Math Forum, Ask Dr. Math FAQ
Is symbolic logic so hard that some people will just never be able to get it? In a gentle introduction to the notation and rules of derivation used in symbolic logic, Dr. Achilles shows why the answer to that question is 'No'.
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 A Crash Course in the Mathematics of Infinite Sets  Peter Suber; Philosophy Department, Earlham College
An introductory guide for philosophers, explaining the use of infinitary set theory.
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 Crashing Waves, Awesome Explosions, Turbulent Smoke and Beyond: Applied Mathematics and Scientific Computing in the Visual Effects Industry [PDF document]  Aleka McAdams, Stanley Osher, and Joseph Teran
The May 2010 issue of the Notices of the American Mathematical Society includes a PDF article (1.3M) entitled "Crashing Waves, Awesome Explosions, Turbulent Smoke, and Beyond: Applied Mathematics and Scientific Computing in the Visual Effects Industry."
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 CRC Press LLC
A scientific and technical publisher of books, journals, regulatory newsletters, and environmental seminars. A searchable online catalog may also be browsed by topic, among others Engineering, Computer Science, and Math & Statistics.
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 Create 2D and 3D gnuplot Graphs
Input a function, vary parameters, plot 2D, 3D Surface, or 3D Contour, vary range displayed, and plot multiple functions at once. With help on various features, and links to graphing animated plots and varying the parameters. Part of the Shodor Educational
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 Create a Graph  National Center for Education Statistics (NCES)
Create your own graphs online: bar graphs, line graphs, area graphs, pie charts, or XY graphs (line, bubble, or scatter plots from Cartesian coordinates). Enter your own data, choose your own labels, preview your work, then print or save your graphs.
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