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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
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…
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…
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
I Want To Be A Mathematician: A Conversation with Paul Halmos
A 44-minute interview with mathematician Paul Halmos that touches on the Moore Method, becoming a mathematician, great teachers, designing a course, writing, and the state of education in the United States. The interview conducted in 1999 by Peter Renz and…
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 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.
Mathematics and Chess
Episode 11 of The Mathematics of Games and Puzzles: From Cards to Sudoku Series
Chess is more like doing real mathematics than almost any other game out there. You'll get a quick overview of how it's is played; learn how to see connections between math and chess; explore some classic chess puzzles and problems;…
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…
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…
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
Geometry and Vectors
The 10 videos in this collection focus on all aspects of Geometry and Vectors. Clip #1: "Properties of Straight Line Segments" - Clip #2: "The Gradient of a Straight Line Segment" - Clip #3: "Equations of Straight Lines" - Clip…
10 videos
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…
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…
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…
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…
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…
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.
The Joy of Fibonacci Numbers
Episode 5 of The Joy of Mathematics
The Fibonacci numbers follow the simple pattern 1, 1, 2, 3, 5, 8, etc., in which each number is the sum of the two preceding numbers. Fibonacci numbers have many beautiful and unexpected properties, and show up in nature, art,…