 Algebra and Trigonometry Web Site: Semester 1 (MQ5)  Gary Jaye, Department of Mathematics, Stuyvesant High School
Algebra and trigonometry exams, dating back to 1995, given by a Stuyvesant High School mathematics teacher. Answers accompany all the tests, making them suitable for practice, review, or selfassessment.
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 Bell Package  Jacek Kisynski
This package provides functions which are useful while dealing with set
partitions. We provide (hopefully) fast methods for sets of size up to 15
and methods with no set size restrictions which use BigInteger objects. The
later ones are constrained
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 The Boise Problem Book  Marion Scheepers; Dept. of Mathematics, Boise State University, Boise, ID
Combinatorial games and set theory. Chapters include: Covering games and Memory; Peculiar sets of real numbers and games; Gdelta properties and games; The precipitous ideal game; Cardinal numbers related to the real line; Embedding problems; Gaps; The
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 Books: Professional & Technical: Professional Science: Mathematics  Amazon.com
Browse bestselling math books from the Professional and Technical Bookstore at Amazon.com, in such categories as Applied; Chaos & Systems; Geometry & Topology; Mathematical Analysis; Mathematical Physics; Number Systems; Pure Mathematics; Transformations;
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 Bounded Set Theory  Vladimir Sazonov
Bounded Set Theory (BST) is a weak version of the ordinary set theory. Its main feature is paying main attention to using bounded quantification (as in the ordinary everyday mathematical practice) and other analogous bounded constructs. The language of
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 The Cantor Set  Math Academy Online/Platonic Realms
An article describing a paradox of infinite sets in measure theory.
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 Cantor's Theorem  Math Academy Online/Platonic Realms
An article describing Cantor's diagonal argument, which proved that infinity comes in many different sizes.
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 Classification (SMILE)  Delores B. Wilburn, Shakespeare School
A lesson designed to motivate students to understand classification, and to teach decisionmaking, how certain objects relate to the number system, and the meanings of some words used to express mathematical ideas. From the Patterns and Logic section
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 Combinatorics, Probability & Computing  Cambridge University Press
Now published bimonthly, the journal covers combinatorics, probability theory, and theoretical computer science. Topics covered include classical and algebraic graph theory, extremal set theory, matroid theory, probabilistic methods and random combinatorial
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 A compendium of NP optimization problems  Crescenzi & Kann
A continuously updated catalog of approximability results for NP optimization problems. Because no NPcomplete problem can be solved in polynomial time (unless P=NP), many approximability results (both positive and negative) of NPhard optimization problems
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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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 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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 Division by Three [PDF]  John Conway, Peter Doyle
A formal proof that it is possible to divide by three. This assertion is easy to prove using the axiom of choice, but becomes a much more difficult problem if the axiom of choice is not allowed (as is the case here). From this proof, and the much simpler
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 Duke University Math Union  Jadrian Miles
The Duke University Math Union (DUMU) writes and hosts the annual Duke Math Meet. Download PDFs of problems and solutions from meets dating back to 1998.
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 Exercises in Math Readiness for University (EMR)  Dept. of Mathematics and Statistics, University of Saskatchewan
A collection of exercises with solutions/tutorials for high school mathematics topics important for university study in mathematics, sciences, engineering and commerce. Exercises at three degrees of difficulty, covering graphing, solving inequalities,
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 First Curriculum  Patricia Simis Lundy
A first grade early literacy curriculum. In the Discovery Zone introduces the scientific method; Weather or Not uses grids, mapping, measurement, and number sense; see Our Big Backyard, showing the integration in the various lessons of literature and
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 General Mathematics, NZ (Funk & Wagnalls Multimedia Encyclopedia)  Lycos Zone: Mathematics
Short articles on basic mathematics, including biographical information about mathematicians, from John Napier to Zeno of Elea.
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 HAKMEM  Beeler, Gosper, Schroeppel; Artificial Intelligence Laboratory, MIT
A list of math and computerrelated problems, unsolved in 1972 when the list originated, compiled "with the hope that a record of the random things people do around here can save some duplication of effort  except for fun." Topics include: Geometry,
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 Hand Made Manipulative Instructions  Margo Lynn Mankus
Pattern block cutouts: triangles, squares, smaller and larger rhombuses, trapezoids, and hexagons. Baseten blocks in sets of ones, tens, and hundreds; and basefive blocks in sets of ones, fives, and twentyfives. XYblock sets of X, X2, XY, Y, and Y2
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 herp, derp, math nerd
A Tumblr "documentary of my journey, mistakes and all," by a Canadian undergraduate double major at UC Berkeley. Posts, which date back to May, 2012, have included "mr cauchy, teach us your ways," "closed, open, and clopen: yes, it's possible," "real
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 Infinity: You Can't Get There From Here!  B. Sidney Smith; Math Academy Online/Platonic Realms
A "minitext" offering a concise introduction to the concept of infinity. Includes historical background, Cantor's set theory, and an introductory discussion of cardinality, as well as suggested reading.
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 Institute for Logic (Institut für Formale Logik)  University of Vienna, Vienna, Austria
Research in the group is concentrated on axiomatic set theory, in particular: Inner models and large cardinals; Constructible models of set theory / core models; Consistency strengths; Coding; Forcing; and Descriptive set theory. Abstract Server; People
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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 Sets (SMILE)  John P. Belton, Jones Metropolitan High School
A lesson designed to teach students to recognize the symbol for set and to demonstrate the rules for sets. From the "Miscellaneous" section of a collection of almost 200 single concept lessons by the Science and Mathematics Initiative for Learning Enhancement.
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 Investigating LCM and GCF Using Rods  Margo Lynn Mankus
The objective of the lesson plan Investigating LCM and GCF Using Rods is to look at the Least Common Multiple (LCM) and Greatest Common Factor (GCF) from "handson" patternbuilding to using set theory. With teachers as the intended audience, the activity
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 LEARNINGlover  AfterMath
Resources to understand "the interactions between mathematics, computer science and probability." JavaScript flash cards and implementations  each with autoscoring, randomlygenerated problems, some with pseudocode  include the a priori algorithm,
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 Light Mixer  Cary and Michael Huang
Type "c" for cyan, "m" for magenta, or "y" for yellow, then click and drag in the grey box to draw a path of pigment in that color. Toggling the switch lets you "draw" in light on a black background: "b" for blue, "r" for red, or "g" for green. Regions
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 Logic and Reasoning (SMILE)  Pearline Scott, Greeley School
A lesson designed to teach students to use logic and reasoning strategies to classify blocks by their attributes; recognize one, two and three attribute differences; use Venn diagrams to form sets and show their intersection; and use the attribute blocks
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 Logic and Set Theory (Mathematics Archives)  University of Tennessee, Knoxville (UTK)
An extensive list of links to sites with information about logic and set theory, classified by level and type of resource.
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 M2C: Maricopa Mathematics Consortium  Alan Jacobs, Project Director
A Consortium for creating mathematics programs in which students learn the knowledge, skills, principles, and applications they can use throughout life to become smarter employees, consumers, citizens, and learners; and to build a coalition of schools
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 Making Predictions (SMILE)  Lucille Chambers, Lyman Trumbull School
A lesson designed to teach students at any level to classify and make predictions as they learn about ecology and plant life. From the Practical and Applied Math section of a collection of almost 200 single concept lessons by the Science and Mathematics
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 Margo Lynn Mankus  Margo Lynn Mankus
Talks include Using Virtual Manipulatives on the Web to Develop Number Sense, Connecting Whole Number Arithmetic to Algebra: HandsOn/Number Sense Activities, and Learning About Nutrition Using the TI73 and the Web. Also, online or downloadable classroom
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 Math500.com  Joe Cunningham
Selfguided problems to solve with automated feedback based on the strategy you select from among the multiple choices presented at each step, or upon the intermediate calculation you enter. Worked examples provide additional stepbystep support. Choose
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 Math Club  Mary Kathryn Eisemann, Tomasz Jan Klosowski, Micjal Andrzej ZabickiThinkQuest 2000
Brief tutorials, puzzles, and brain teasers for students aged 1217. Some topics include: equations, trigonometry, geometry, set theory, logic, and induction. The games range from mazes to magic squares to Victorian parlor games. Students may log in
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 Mathematical Connections  Whittle, Luoma; Dept. of Learning Support, Augusta State University
"Exploring the Interplay Between Mathematics and the Humanities." A forum for exploring the interplay between mathematics and the humanities, including, but not limited to, the relationship between mathematics and the arts, anthropology, history, literature,
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 Mathematical Logic  Department of Mathematics, Manchester University, U.K.
There is a strong tradition in mathematical logic at Manchester. The first logician at Manchester was Alan Turing, now considered to be the father of artificial intelligence and one of the great visionaries of the twentieth century... The present group
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 Mathematical Logic Group
 Department of Mathematics, University of Bonn
Research in the group is concentrated on axiomatic set theory, in particular: Inner models and large cardinals; Descriptive set theory and Determinacy; Consistency strengths; and Forcing. Members, recent publications, lectures, and links.
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 Mathematics Applications  Arlen Strader
Areas of mathematics for which Strader has developed Java applets: Algebra, Probability, Statistics, Set Theory, and Geometry. Statistics, developed for an undergraduate behavioral statistics class, is the most developed; algebra and geometry are aimed
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 Mathematics  Nancy McGough, Infinite Ink
Infinite Ink's primary mathematical interest is foundations of mathematics, including standard and nonstandard logics, set theories, and other mathematical frameworks. This page contains links to other Web resources and information on Infinity, Set Theory,
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 Math HowTo's  FindHow: the HowTo Search Engine
HowTos from wellrecognized brand names, governmental, and educational institutions, with a particular focus on academic topicsin this case, mathematics.
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 maths online  University of Vienna, Austria
A modern mathematics learning site on the Web: details of the project, persons and institutions participating, or project proposals (only in German). The Gallery consists of interactive multimedia learning units (Java applets), each of which includes
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 MathSource  Wolfram Research
An extensive electronic library of Mathematica material and notebooks, with over 100,000 pages of immediately accessible Mathematica programs, documents, examples, and more. You may browse the archive or search by author, title, keyword, or item number.
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 Math WWW VL: Bibliographies  Dept. of Mathematics, Florida State University
Links to bibliographies in collegelevel mathematics.
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 Math WWW VL: Specialized Fields  Dept. of Mathematics, Florida State University
Links to sites for resources in specialized fields in collegelevel mathematics.
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 Matthew J. Saltzman's Home Page  Matthew J. Saltzman
A study guide for basic math courses, titled "How to Survive Your College Math Class (and Take Home Something of Value)," includes sections on study skills, reading and understanding mathematics (featuring "An Equation is a Sentence," "Deriving Conditions
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 Melkamu Zeleke
Melkamu Zeleke is a graduate student in combinatorics. His papers and solutions to some problems from American Mathematics Monthly and Math Magazine may be downloaded as TeX, .dvi, or PostScript files. The code for accompanying Maple packages RADON,
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 The Mutilated Checkerboard in Set Theory  John McCarthy
An 8 by 8 checkerboard with two diagonally opposite squares removed cannot be covered by dominoes each of which covers two rectilinearly adjacent squares. This site presents a set theory description of the proposition and an informal proof that the covering
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 New Foundations  Randall Holmes; Boise State University
Set theory was introduced by W. V. O. Quine in 1937. This refinement of Russell's theory of types is based on the observation that the types in Russell's theory look the same, as far as one can apparently prove. Mailing list; links to fans; Definition;
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 Nonstandard Analysis and the Hyperreals  Jordi Gutierrez Hermoso; Math Forum, Ask Dr. Math FAQ
An essay introducing the most basic ideas of nonstandard analysis and the hyperreal number system. Contents: A Very Brief History of AlmostNothing and MorethanEverything; The Hyperreal WishList; Construction of the hyperreal numbers; Hyperreal arithmetic;
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 Number: What Is "How Many"?  B. Sidney Smith; Math Academy Online/Platonic Realms
A "minitext" introducing fundamental concepts in elementary number theory and the foundations of mathematics. Includes discussions of basic set theory; natural numbers; integers; rational, irrational, and real numbers. Also gives a brief list of suggested
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