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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

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…
Top Secret Rosies
In 1942 a secret U.S. military program was launched to recruit women to the war effort. But unlike the efforts to recruit Rosie the Riveter to the factory, this clandestine search targeted female mathematicians who would become human 'computers' for…
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
Julia Robinson and Hilbert’s Tenth Problem
Julia Robinson, a pioneer among American women in mathematics, rose to prominence in a field where often she was the only woman. Julia Robinson was the first woman elected to the mathematical section of the National Academy of Sciences, and…
Big Dream - Young Women Entering STEM Fields
This film follows the intimate stories of seven young women who are breaking barriers and overcoming personal challenges to follow their passion in science, math, computing & engineering (STEM) fields. Through video diaries and verite moments, each of these girls…
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…
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…
Mastering Rubik’s Cube
Episode 9 of The Mathematics of Games and Puzzles: From Cards to Sudoku Series
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…
Practical Poker Probabilities
Episode 5 of The Mathematics of Games and Puzzles: From Cards to Sudoku Series
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…
Optimal Blackjack and Simple Card Counting
Episode 3 of The Mathematics of Games and Puzzles: From Cards to Sudoku Series
Depending on how you play it, blackjack can be the best or the worst game in a casino. Here, Professor Benjamin shows you how to get the best of blackjack before it gets the best of you. By taking you…
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
Inside Einstein's Mind
Part of the Series: NOVA
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…
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…
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…
Geometry—Ancient Ropes and Modern Phones
Episode 1 of Geometry
Explore the origins of one of the oldest branches of mathematics. See how geometry not only deals with practical concerns such as mapping, navigation, architecture, and engineering, but also offers an intellectual journey in its own right--inviting big, deep questions.
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…
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.
Go Forth and Multiply
Episode 3 of Secrets of Mental Math
Delve into the secrets of easy mental multiplication: Professor Benjamin's favorite mathematical operation. Once you've mastered how to quickly multiply any two-digit or three-digit number by a one-digit number, you've mastered the most fundamental operations of mental multiplication and added…
Divide and Conquer
Episode 4 of Secrets of Mental Math
Turn now to the last fundamental operation of arithmetic: division. Explore a variety of shortcuts for dividing by one- and two-digit numbers; learn how to convert fractions such as 1/7 and 3/16 into decimals; and discover methods for determining when…