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Features

Arthur Benjamin Ph.D.

Professor at Harvey Mudd College

Professor at Johns Hopkins University

Arthur T. Benjamin

Howard Burton

Anthony J. Leggett

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196 results

Page 1

Optimal Blackjack and Simple Card Counting

Episode 3 of The Mathematics of Games and Puzzles: From Cards to Sudoku Series

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…

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

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

Mastering Rubik’s Cube

Episode 9 of The Mathematics of Games and Puzzles: From Cards to Sudoku Series

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…

The Joy of Math - The Big Picture

Episode 1 of The Joy of Mathematics

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.

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…

Math in Your Head!

Episode 1 of Secrets of Mental Math

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…

Let the Games Begin!

Episode 1 of The Mathematics of Games and Puzzles: From Cards to Sudoku Series

Episode 1 of The Mathematics of Games and Puzzles: From Cards to Sudoku Series

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…

Practical Poker Probabilities

Episode 5 of The Mathematics of Games and Puzzles: From Cards to Sudoku Series

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…

Solving Sudoku

Episode 10 of The Mathematics of Games and Puzzles: From Cards to Sudoku Series

Episode 10 of The Mathematics of Games and Puzzles: From Cards to Sudoku Series

What's the key to solving Sudoku problems when you're at your wits' end? Training your mind to look for patterns and to use careful logic, just like mathematicians. This episode is packed with helpful techniques and strategies for overcoming even…

Why Study Logic?

Episode 1 of An Introduction to Formal 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…

Games of Chance and Winning Wagers

Episode 2 of The Mathematics of Games and Puzzles: From Cards to Sudoku Series

Episode 2 of The Mathematics of Games and Puzzles: From Cards to Sudoku Series

Turn now to games that rely heavily on chance and betting, such as roulette and craps, and learn how to evaluate the fairness (or unfairness) of games using the ever-important concept of expected value. Once you know if a game…

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…

Inside Einstein's Mind

Part of the Series: NOVA

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…

Mathematics and Chess

Episode 11 of The Mathematics of Games and Puzzles: From Cards to Sudoku Series

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;…

The Joy of Fibonacci Numbers

Episode 5 of The Joy of Mathematics

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,…

Mixed Strategies and the Art of Bluffing

Episode 4 of The Mathematics of Games and Puzzles: From Cards to Sudoku Series

Episode 4 of The Mathematics of Games and Puzzles: From Cards to Sudoku Series

What happens when you're playing a game with an intelligent adversary whose goals are opposed to yours? You have a zero-sum game such as penny matching, rock-paper-scissors, and simplified poker. Discover how to use math to bluff, play unpredictably, and…

Trigonometry

The 11 videos in this collection focus on all aspects of Trigonometry, from Pythagoras' theorem to cosec, sec and cot. Clip #1: "Pythagoras' Theorem" -
Clip #2: "Trig Ratios in a Right Angled Triangle" -
Clip #3: "Trig Ratios of…

11 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…

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