Letters from an Indian Clerk

A video by doctor John Hubbard discussing the origin, characteristics, and applications of the Mandelbrot set and other iterative sets.

NOVA leads viewers on a mathematical mystery tour -- a provocative exploration of math's astonishing power across the centuries. We discover math's signature in the swirl of a nautilus shell, the whirlpool of a galaxy and the spiral in the center of a sunflower. Math was essential to everything from the first wireless radio transmissions to the prediction and discovery of the Higgs boson and the successful landing of rovers on Mars. But where does math get its power? Astrophysicist and writer Mario Livio, along with a colorful cast of mathematicians, physicists and engineers, follows math from Pythagoras to Einstein and beyond, all leading to the ultimate riddle: Is math an invention or a discovery? Humankind's clever trick or the language of the universe?

A mockumentary-style short film that humorously follows political science students debating whether math has any real place in their discipline. Through chaptered banter, fourth-wall breaks, and satire, the film exposes the uneasy but unavoidable relationship between numbers, power, and political truth.

Made entirely on Roger Wagner's HyperStudio software, Chris Marker explores set theory, using Noah's Ark as an example.

A documentary about the life and works of the artist M. C. Escher. Maurits Cornelis Escher (1898-1972) usually referred to as M. C. Escher, was a Dutch graphic artist. He is known for his often mathematically inspired woodcuts, lithographs, and mezzotints. These feature impossible constructions, explorations of infinity, architecture, and tessellations.

On January 15, 1972, Leonid Pliouchtch, a Ukrainian mathematician who was unknown at the time, was locked up in a Soviet psychiatric institution and accused of dissidence. His wife, Tatiana, fought for his defense and contacted a committee of French mathematicians to help him. Led by Laurent Schwartz, they launched a three-year campaign to secure his release and succeeded in getting the USSR to back down on the issue.

M.C. Escher is among the most intriguing of artists. In 1956 he challenged the laws of perspective with his graphic Print Gallery and his uncompleted master-piece quickly became the most puzzling enigma of modern art. Fifty years later, can mathematician Hendrik Lenstra complete it? Should he?

A humor-inflected history of the of the number one, covering military applications in ancient Rome, the measurement of distances in India, and the decimal system created by Leibnitz.

What is Bitcoin? With the advent of Bitcoin, the world's first digital currency, for the first time in history money is no longer controlled by banks or governments, but by the people who use it. But where did this currency come from? How does it work? And is it truly the way forward, or just a flash in the pan? Magic Money answers these questions and more as it explores the mysterious origins of Bitcoin, its role in society, and how it could shape the future.

Until recently geometry was 'cold', incapable of describing the irregular shape of a cloud, the slope of a mountain or the beauty of the human body. With fractal geometry, Benoit Mandelbrot gave us a language for our natural world. In this captivating documentary, the man himself explains this groundbreaking discovery.

Narrated by Oscar-winning actor Jeremy Irons, The Genius of George Boole assembles academics and industry leaders from across the globe to explore the life and importance of one of the world’s greatest unsung heroes.

Based on the thesis of Alejandro Rivero and Ernesto Pacheco, this documentary attempts to glimpse, through the senses, the fourth mathematical dimension.

This BAFTA nominated documentary tells the story of some of the brightest mathematical brains of a generation. Each year, exceptionally gifted teenagers from over 90 countries compete for medals at the International Mathematical Olympiad. The film follows a group of brilliant teenagers as they battle it out to become the chosen six selected to represent the UK.

Filmed in Canada, Iran, and the United States, Secrets of the Surface: The Mathematical Vision of Maryam Mirzakhani examines the life and mathematical work of Maryam Mirzakhani, an Iranian immigrant to the United States who became a superstar in her field. In 2014, she was both the first woman and the first Iranian to be honored by mathematics' highest prize, the Fields Medal. Mirzakhani's contributions are explained by leading mathematicians and illustrated by animated sequences. Her mathematical colleagues from around the world, as well as former teachers, classmates, and students in Iran today, convey the deep impact of her achievements. The path of her education, success on Iran's Math Olympiad team, and her brilliant work, make Mirzakhani an ideal role model for girls looking toward careers in science and mathematics. Written by George Csicsery

In April 1969 Ilya (Eliyahu) Rips, then a young student of mathematics, tried to burn himself in a public square in Riga, Latvia protesting against the Soviet invasion of Czechoslovakia. He was stopped and eventually sent to a psychiatric hospital for two years. Thanks to international pressure from the mathematical community in 1972 he was allowed to emigrate to Israel. Now he is considered one of the most brilliant mathematicians in the world. At the same time, for most people familiar with his name, Rips is first of all associated with the development of the so called Bible Code – a mathematical program allegedly helping to decipher hidden messages encoded in Torah – the Five Books of Moses. He is attacked by both the scientific and religious community, yet his research continues.

During the 1995 Summer Institute at The Geometry Center, a team of undergraduates, middle and high school mathematics teachers and Center staff developed curriculum materials supporting The Shape of Space video. The team developed a comprehensive curriculum, covering many areas related to the video. The following materials were selected for distribution based on their direct relevence to understanding the video itself.

Not Knot is a guided tour into computer-animated hyperbolic space. It proceeds from the world of knots to their complementary spaces -- what's not a knot. Profound theorems of recent mathematics show that most known complements carry the structure of hyperbolic geometry, a geometry in which the sum of three angles of a triangle always is less than 180 degrees.

In an age when genius is a mere commodity, it is useful to look at a person who led a rich life without the traditional trappings of success. A man with no home and no job, Paul Erdös was the most prolific mathematician who ever lived. Born in Hungary in 1913, Erdös wrote and co-authored over 1,500 papers and pioneered several fields in theoretical mathematics. At the age of 83 he still spent most of his time on the road, going from math meeting to math meeting, continually working on problems. He died on September 20, 1996 while attending such a meeting in Warsaw, Poland.

A documentary about the life and work of seminal mathematician Srinivasa Ramanujan.

The computer animation Outside In explains the amazing discovery, made by Steve Smale in 1957, that a sphere can be turned inside out by means of smooth motions and self-intersections. Through a combination of dialogue and exposition accessible to anyone who has some interest in mathematics, Outside In builds up to the grand finale: Bill Thurston's "corrugations" method of turning the sphere inside out.