## Mathematics

Topics:

Web Resources

Basic Math & Pre-Algebra
Basic Math and Pre-Algebra
Topics include: Decimals, Fractions, Graphs, Integers and Rationals, Measurements, Number Series, Percents, Powers Exponents and Roots, Powers of Ten and Scientific Notation, Whole Numbers, Word Problems, and more. From CliffsNotes.com.
Basic Math Definitions
Addition, subtraction, multiplication, division symbols and operations. From MathIsFun.com.
BBC Skillswise: Maths
"Practical, common-sense maths for adults. Choose a topic area." Topics include: Numbers, Calculations, Percentages, Fractions, Measuring, Shapes, Graphs. From BBC.
Coolmath Pre-Algebra
Topics include: Decimals, Exponents, Factors and Primes, Fractions, Intro to Fractions, Intro to Number Theory, Order of Operations, Percents, and more. From CoolMath.com.
FactMonster.com - Mathematics Topics
Factors and Fractions
Topics include: Factors, Prime Factors, Common Factors, Lowest Common Multiples, Mixed Numbers and Improper Fractions, Multiplying Fractions and Mixed Numbers, Reciprocal Fractions, Dividing Fractions, Reducing Fractions to Lowest Terms.
Mathematicians and Statisticians
Brief biographies of famous math persons throughout history.
Numbers
Topics include: Integers, Even and Odd Numbers, Rational and Irrational Numbers, Decimal Places, Prime Numbers, World's Largest Known Prime Number, Cardinal, Ordinal, and Nominal Numbers, Numerical Prefixes, Mean and Median, Rounding Numbers, More than a Million, The First Thousand Digits of Pi, Roman Numerals.
Tables and Formulas
Topics include: Addition Table, Multiplication Table, Terms Used in Equations, Order of Operations, Finding Area, Finding Volume, Finding Perimeter and Circumference, Triangles, Converting Fractions, Decimals, and Percents, Common Fractions with Decimal and Percent Equivalents, Common Repeating Decimals and Their Equivalent Fractions, Table of Squares and Square Roots, Finding Square Roots, Powers and Exponents, Scientific Notation, Factorials.
Free Math Tutorials
"Do you need help with math like subtraction, multiplication, division, fractions, decimals, and percents? With an emphasis on images and interactives, our math tutorials make learning math easier. The tutorials are designed to be like a math workbook, so you can practice what you learn directly within the lessons and learn at your own pace." From GCFLearnFree.org.
Pre-Algebra
Topics include: Numbers, Place Value, Decimal Numbers, Estimating and rounding, Adding/subtracting decimals, Multiplying decimals, Dividing decimals, Percent, Exponents, Square roots, Signed integers, Adding and subtracting integers, Multiplying and dividing integers, Properties of integers, Ratios and Proportions, Factoring (Factors and multiples, Greatest common factor - GCF, Least common multiple - LCM). From Math.com.

Math eBooks & Online Texts
Mathematics Bookshelf
Subject areas include: Algebra, Amusements, Calculus, Combinatorics, Complex Analysis, Constants and Numerical Sequences, Differential Equations, Elliptic Functions, Euclidean and Non-Euclidean Geometry, Fourier Series, History, Logic and Philosophy, Mathematical Physics, Number Theory, Probability, Quaternions, Real Analysis, Technical Drawing, Trigonometry, and more. From Project Gutenberg.

Mathematical Functions, Formulas, Symbols
Math Reference Tables
Tables for algebra, geometry, trigonometry and many more.
Mathematical Formulas and Tables
Topics include Numbers, Algebra, Probability & Statistics, Calculus & Analysis, Math Symbols, Math Calculators, and Number Converters. From RapidTables.com.
Mathematical Symbols
A scholarly article on math symbols. Scroll down the screen to find "The Origin of Some Mathematical Symbols" in table form. Includes the meaning and name of the person who introduced it and the year it was introduced. From the Encyclopedia of Math.
Mathematical Symbols
Categories include: Basic Math Symbols, Geometry Symbols, Algebra Symbols, Probability and Statistics Symbols, Set Theory Symbols, Logic Symbols, Calculus and Analysis Symbols, Number Symbols, Greek Symbols, Roman Numerals. From RapidTables.com.
Mathematical Tables and Formulas
From S.O.S. Math.
The Wolfram Functions Site
Formulas and graphics about mathematical formulas. Contains over 300,000 formulas and features a "Function of the Day."

Mathematics & Mathematicians - General Information
Calculators
Basic math, scientific, and more.
Calculus Tutorials
Topics include: Precalculus; Single Variable Calculus; Multivariable Calculus; Linear Algebra; and Differential Equations. From Harvey Mudd College in California.
Common Core Mathematics Standards
"The Standards for Mathematical Practice describe varieties of expertise that mathematics educators at all levels should seek to develop in their students." For grades K-12 (select grade level and subtopics from their menu). From Common Core State Standards Initiative.
Interactive Mathematics Puzzles
From How Stuff Works:
How Math Works
How Fractals Work
How Pi Works
How Zero Works
What Is Number Theory
Choose by Grade Level or Choose by Subject. Includes Arithmetic, Algebra Basics, Pre-Algebra, Algebra I, Algebra II, Basic Geometry, Geometry, Trigonometry, Probability and Statistics, Precalculus, Differential Calculus, Integral Calculus, Multivariable Calculus, Differential Equations, Linear Algebra, Recreational Math and Math Contests. From The Khan Academy.
Math Study Guides
Sections/topics include: Prealgebra (Operations, Whole Numbers, Decimals, Fractions, Percents, Integers and Rationals, Powers, Exponents, and Roots, Measurements, Perimeter and Area, Variables), Geometry (Building Blocks, Polygons, Circles, Surfaces, Geometric Measurements, Special Triangles, Congruence, Theorems, Inductive / Deductive Reasoning, Logic Statements, Axioms, Postulates, Proofs), Algebra (Expressions, Equations, Inequalities, Absolute Values, Probability, Graphing Data/ Equations, Exponents, Scientific Notation, Polynomials, Quadratics), Binomial Expansion, Factoring, Matrices, Rational Expressions, Complex Numbers, Functions, Inequalities, Graphs, Polynomials), Trigonometry (Angles, Graphs, Trigonometric Equations / Functions / Identities, Oblique / Right Triangles), Precalculus (Complex Numbers, Conic Sections, Continuity, Limits, Parametric Equations, Polar Coordinates, Exponential / Logarithmic Functions, Sequences, Series), Calculus (Functions, Limits, Derivatives, Integrals, the Taylor Series, Polar Curves). From SparkNotes.com.
A Maths Dictionary for Kids
An illustrated, animated, and interactive dictionary of math terms. Browse terms alphabetically by clicking on the first letter of the term you want to look up.
Open Textbook Library: Mathematics
"The Open Textbook Library provides a growing catalog of free, peer-reviewed, and openly-licensed textbooks."
Practical Algebra Lessons
Find lessons on introductory through advanced algebra topics. Also provides practical tips, hints, examples of common mistakes, and an extensive selection of word problems. Browse the listing or use the "search" box at the top of the page.
Regents Exam Prep Center
"The goal of this nonprofit site is to help high school students meet the New York State Regents requirements in English, Mathematics, Science, and Social Studies." Include Algebra, Geometry and Algebra 2/Trig. Provided by Oswego City School District.
SOSMATH!!!
Described as a "free resource for math review material from Algebra to Differential Equations."
WebMath
"Webmath is a math-help web site that generates answers to specific math questions and problems, as entered by a user, at any particular moment. The math answers are generated and displayed real-time, at the moment a web user types in their math problem and clicks 'solve.' In addition to the answers, Webmath also shows the student how to arrive at the answer." From Discovery Education.
Wolfram MathWorld: The Web's Most Extensive Mathematics Resource
MathWorld is a comprehensive and interactive mathematics encyclopedia intended for students, educators, math enthusiasts, and researchers.

Mathematical Images & Visualizations
Hunting the Hidden Dimension
"Mysteriously beautiful fractals are shaking up the world of mathematics and deepening our understanding of nature." Video and articles. Includes information on Benoit Mandelbrot as well as interactive "Design a Fractal" activities and a Mandelbrot Set explorer. From PBS NOVA.
Mathematica Graphics Gallery of Mathematical Art Images
"Mathematica has opened the door to a new kind of imagery that melds art and science. These are a few of the creations of Mathematica users around the world." From Wolfram Research.
Mathematical Imagery
"The connection between mathematics and art goes back thousands of years." Browse a number of galleries of mathematically-inspired images. Presented by the American Mathematical Society (AMS).
What are Fractals
Includes an Educator's Guide. From the Fractal Foundation.

Mathematics - History
Archives of American Mathematics
"As the only archival repository in the United States solely dedicated to collecting and preserving the papers and records of mathematicians and mathematical organizations, the AAM is the premier resource for researchers seeking primary sources in mathematics." From the University of Texas at Austin.
Biographies of Mathematicians
From the University of St Andrews, Scotland, School of Mathematics and Statistics.
A Brief History of Mathematics
"Professor Marcus du Sautoy argues that mathematics is the driving force behind modern science. Ten fifteen minute podcasts that reveal the personalities behind the calculations from Newton to the present day." From BBC Radio.
A Mathematical Chronology
A timeline of math history and mathematicians (30,000 B.C. to the present). From the University of St Andrews, Scotland, School of Mathematics and Statistics.
Mathematics Images for Classroom Use
"Use these images of mathematical people, texts, and objects in your classroom!" Topics include: Mathematical People and Mathematical Treasures. From the Mathematics Association of American.

Mathematics News & Articles
Mathematics News
News regarding mathematical problems and solutions, research, challenges, mathematicians, and more. From PhysOrg.org.
The New York Times: Mathematics
News and articles about math and mathematicians.
News and Outreach
Includes News; Feature Stories; Math in the Media; AMS Posters; Mathematics and Music; Imagery and more. From the American Mathematical Society.

Number Systems
From MathIsFun.com.
Counting Systems and Numerals
From HistoryWorld.net.
Numbers and Numerals Systems' History and Curiosities
From Archimedes Labratory.
Numeral and Number Systems. Origin and Development
From Infomath.org.
Numerals in Many Different writing Systems
A comparative table of numberical symbols from various languages. From Omniglot.com. See also this related article from Mental Floss: 12 Mind Blowing Number Systems From Other Languages.
Roman Numerals
From Wolfram MathWorld.

Videos - Documentaries, Lectures, & Video Tutorials
The Great Math Mystery
Video. 53 min. "Join NOVA on a mathematical mystery tour - a provocative exploration of math's astonishing power across the centuries. We discover math's signature in the swirl of a nautilus shell, the whirlpool of a galaxy, and the spiral in the center of a sunflower. Math was essential to everything from the first wireless radio transmissions to the prediction and discovery of the Higgs boson and the successful landing of rovers on Mars. Astrophysicist and writer Mario Livio, along with a colorful cast of mathematicians, physicists, and engineers, follow math from Pythagoras to Einstein and beyond. It all leads to the ultimate riddle: Is math a human invention or the discovery of the language of the universe?" From PBS Nova.
Free in-depth instructional videos:
Algebra - Pre-algebra - negative numbers, factors, multiples, decimals, fractions, and more
Algebra - Basics - algebraic expressions, linear equations, inequalities, graphing lines and slopes, and more
Basic Geometry - lines, angles, shapes, coordinate plane, area, perimeter, volume, surface area, and more
Calculus - Precalculus - matrices, parametric equations, polar coordinates, imaginary and complex numbers, sequences, limits, and more
Calculus - Differential Calculus - derivatives, minima, maxima, rates of change, mean value theorem, and more
Calculus - Integral Calculus - integrals, integration, sequences, series, and more
Calculus - Multivariable Calculus - mutivariable functions, double and triple integrals, partial derivatives, gradient, divergences, curl, and more
Differential Equations - first order differential equations, second order linear equations, laplace transform,
Early Math - Counting, Addition, Subtraction
High School Geometry - Euclidean Geometry, angles and intersecting lines, triangles, quadrilaterals, transformations, congruence, circles, right angles, and more
High School Statistics - permutations, combinatorics, random variables, mean, median, mode, standard deviation, variance, and more
Linear Algebra - vectors and spaces, matrix transformations, alternate coordinate systems (bases)
Trigonometry - trig functions, identities, and more
Numberphile
"Videos about numbers - it's that simple." From Numberphile and the Mathematical Sciences Research Institute.
Step by Step Math Videos
Arithmetic, Decimals, Fractions, Geometry, Measurement and Data, Numbers and Properties, Percent, Prealgebra , Ratio and Proportion, Slope and Graphing Lines , Solving Algebra Equations.
Worldwide Center of Mathematics
Video topics include: Algebra, Calculus (Differential, Integral, Multivariable), Group Theory, Linear Algebra, Precalculus, Statistics, Trigonometry, Vectors, and more.

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