Mathematics

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The Joy of Mathematics

Secrets of Mental Math

The Mathematics of Games and Puzzles: From Cards to Sudoku

Famous Mathematicians

Geometry - An Interactive Journey to Mastery

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197 Videos in Mathematics

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Algebra
The 18 videos in this collection focus on all aspects of Algebra, from logarithms to quadratic equations and partial fractions. Clip #1: "Mathematical Language" - Clip #2: "Powers or Indices" - Clip #3: "Logarithms" - Clip #4: "Substitution and Formulae"…
18 videos
Math in Your Head!
Episode 1 of Secrets of Mental Math
Dive right into the joys of mental math. First, learn the fundamental strategies of mental arithmetic (including the value of adding from left to right, unlike what you do on paper). Then, discover how a variety of shortcuts hold the…
N is a Number: A Portrait of Paul Erdös
A man with no home and no job, Paul Erdos was the most prolific mathematician who ever lived. Born in Hungary in 1913, Erdos wrote and co-authored over 1,500 papers and pioneered several fields in theoretical mathematics. At the age…
Differentiation
The 14 videos in this collection focus on all aspects of Differentiation, from maxima and minima to the chain, product and quotient rule. Clip #1: "Differentiation From First Principles" - Clip #2: "Differentiating Powers of x" - Clip #3: "Differentiating…
14 videos
The Joy of Math - The Big Picture
Episode 1 of The Joy of Mathematics
Professor Benjamin introduces the ABCs of math appreciation: The field can be loved for its applications, its beauty and structure, and its certainty. Most of all, mathematics is a source of endless delight through creative play with numbers.
Arithmetic
The 8 videos in this collection focus on all aspects of Arithmetic, from fractions to percentages and ratios. Clip #1: "Fractions - Basic Ideas" - Clip #2: "Fractions: Adding and Subtracting" - Clip #3: "Fractions: Multiplying and Dividing" - Clip…
8 videos
Why Study Logic?
Episode 1 of An Introduction to Formal Logic
Influential philosophers throughout history have argued that humans are purely rational beings. But cognitive studies show we are wired to accept false beliefs. Review some of our built-in biases, and discover that logic is the perfect corrective. Then survey what…
Practical Poker Probabilities
Episode 5 of The Mathematics of Games and Puzzles
Investigate the mathematics of Texas Hold'em, one of the most popular traditional poker games. What's the probability your hand will improve before and after more cards are revealed? How do you calculate your "pot odds" to help you determine your…
The Joy of Numbers
Episode 2 of The Joy of Mathematics
How do you add all the numbers from 1 to 100--instantly? What makes a square number square and a triangular number triangular? Why do the rules of arithmetic really work, and how do you calculate in bases other than 10?
Hard Problems - The Road to the World's Toughest Math Contest
Hard Problems documents the formation of the 2006 U. S. International Mathematical Olympiad (IMO) team, showing how high school students are selected, train, and then compete with students from 90 countries in the 2006 IMO. Produced in association with the…
Mastering Rubik’s Cube
Episode 9 of The Mathematics of Games and Puzzles
It's one of the most famous puzzles ever invented. But Professor Benjamin has an easy-to-learn, eight-step method for solving this mind-bending puzzle quickly and accurately--every time. After examining the mathematics behind the cube, you'll follow him step-by-step through an algorithm…
Mental Addition and Subtraction
Episode 2 of Secrets of Mental Math
Professor Benjamin demonstrates how easily you can mentally add and subtract one-, two-, and three-digit numbers. He also shows you shortcuts using the complement of a number (its distance from 100 or 1000) and demonstrates the uses of mental addition…
The Joy of Primes
Episode 3 of The Joy of Mathematics
A number is prime if it is evenly divisible by only itself and one: for example, 2, 3, 5, 7, 11. Professor Benjamin proves that there are an infinite number of primes and shows how they are the building blocks…
Inside Einstein's Mind
Part of the Series: NOVA
PBS
On November 25th, 1915, Einstein published his greatest work: general relativity. The theory transformed our understanding of nature's laws and the entire history of the cosmos, reaching back to the origin of time itself. Now, in celebration of the 100th…
Integration
The 11 videos in this collection focus on all aspects of Integration, from integration as summation to integration leading to log functions. Clip #1: "Integration as Summation" - Clip #2: "Integration as the Reverse of Differentiation" - Clip #3: "Integration…
11 videos
An Introduction to Formal Logic
Logic is intellectual self-defense against such assaults on reason and also a method of quality control for checking the validity of your own views. But beyond these very practical benefits, informal logic--the kind we apply in daily life--is the gateway…
24 videos
Informal Logic and Fallacies
Episode 3 of An Introduction to Formal Logic
Explore four common logical fallacies. Circular reasoning uses a conclusion as a premise. Begging the question invokes the connotative power of language as a substitute for evidence. Equivocation changes the meaning of terms in the middle of an argument. And…
Let the Games Begin!
Episode 1 of The Mathematics of Games and Puzzles
Explore some general strategies for successfully solving simple games and puzzles. As you hone your skills at games and puzzles, including 20 Questions, Mastermind, Ghost, The Tower of Hanoi, variations of Tic Tac Toe, and Cram (a cross between checkers…
Plato's Heaven - A User's Guide with Professor James Robert Brown of the University of Toronto
What do mathematicians actually do? Just move symbols around or search to uncover undying truths? Most mathematicians shy away from addresing the question, but James Robert Brown, Professor of Philosophy at the University of Toronto plunges straight in to describe…
Introduction to Logical Concepts
Episode 2 of An Introduction to Formal Logic
Practice finding the logical arguments hidden in statements by looking for indicator words that either appear explicitly or are implied--such as "therefore" and "because." Then see how to identify the structure of an argument, focusing on whether it is deductive…