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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

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…

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…

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…

Mental Addition and Subtraction

Episode 2 of Secrets of Mental Math

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…

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…

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

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…

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…

Introduction to Logical Concepts

Episode 2 of An Introduction to Formal Logic

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…

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…

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;…

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…

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…

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.

Calculus 2 Advanced Tutor: Integration By Partial Fractions

This program covers the important topic of Integration by Partial Fractions in Calculus. We begin by discussing what a Partial Fraction is, how it can be used to solve integrals, and why it is a central topic in Calculus. Next,…

Go Forth and Multiply

Episode 3 of Secrets of Mental Math

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…

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…

Beginnings—Jargon and Undefined Terms

Episode 2 of Geometry

Episode 2 of Geometry

Lay the basic building blocks of geometry by examining what we mean by the terms point, line, angle, plane, straight, and flat. Then learn the postulates or axioms for how those building blocks interact. Finally, work through your first proof--the…

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