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.

Does infinity exist? Can we experience the Infinite? In an animated film (created by artists from 10 countries) the world's most cutting-edge scientists and mathematicians go in search of the infinite and its mind-bending implications for the universe. Eminent mathematicians, particle physicists and cosmologists dive into infinity and its mind-bending implications for the universe.

A portrait of the visionary Dutch artist M. C. Escher (1898-1972), according to his own words, taken from his diary, his correspondence and the texts of his lectures.

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.

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

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.

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?

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.

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

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.

As a rising star in the field of abstract mathematics, Michael discovered that he could see beauty and pattern where others could not. But his path was not to be inside academia, or even inside society. He went on a grand adventure to unify his Buddhism with his ability to see an expanded view of reality. He created beauty in a place where nobody else would, and made his friends amongst dolphins.

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.

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.

Exploring the murky and fast-paced world of the hackers out to steal money and identities and wreak havoc with people's online lives, and the scientists who are joining forces to help defeat them.

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This edition includes topics such as exponential functions, common log or base 10, rules of exponents, natural log or base e, applications of exponents, rules of logs, logarithms, solving log equations and converting logs to base 10 or base e.

The story of two girls, Alice Zhang and Fan Chung Graham, who grew up together in Taiwan in the 60s and dreamt of pursuing math.

Symmetry is one of five shorts featured in the film "Mathematical Peep Shows." The collection was made by Charles and Ray Eames for the IBM Mathematica Exhibit which opened in 1961. The degree to which an object is symmetrical is illustrated by the number of different positions in which it can fit into a box of its shape.

2ⁿ is a story about the exponential growth of numbers raised to powers. Part of the Mathematica Peep Shows, one of five films made to accompany the Mathematica: A World of Numbers and Beyond exhibition at the California Museum of Science and Industry and the Museum of Science and Industry in Chicago.