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Arthur Benjamin Ph.D.

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Arthur T. Benjamin

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197 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…

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…

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…

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…

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…

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…

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…

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…

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.

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 Cyclic Universe with Professor Sir Roger Penrose of the University of Oxford

Sir Roger Penrose, Emeritus Rouse Ball Professor of Mathematics at the Mathematical Institute of the University of Oxford, is convinced that there is one fundamental problem that is consistently being overlooked in modern cosmological approaches: why did our universe begin…

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,…

Vectors

A compilation of the following programs: Kites, Angular Momentum, Vectors and Moments, Modelling with 3D vectors, Introduction to Vectors (tutorial), Cartesian representation of vectors in 3D space (tutorial), Combining vectors pt 1 and 2 (tutorials) and Differentiation of vectors (tutorial).…

9 videos

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…

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

The Joy of Numbers

Episode 2 of The Joy of Mathematics

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?

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…

Solving “Impossible” Puzzles

Episode 8 of The Mathematics of Games and Puzzles: From Cards to Sudoku Series

Episode 8 of The Mathematics of Games and Puzzles: From Cards to Sudoku Series

Try your hand at some classic puzzles that have been driving people crazy for centuries involving sliding blocks, jumping pegs, and blinking lights--each of which deals heavily with odd or even numbers. Once you've learned some handy mathematical concepts and…

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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