# Mathematics

## Flow Of Time

A documentary that tries to explain time and covers the different ways we have used to understand Time, religion, mathematics, relativity, and quantum mechanics.

- 1231 reads

## High Anxieties: The Mathematics of Chaos

Documentary which looks at how developments in mathematics over the past 40 years have completely changed our understanding of the fundamental nature of the world we live in.

As we approach tipping points in both the economy and the climate, the film examines the mathematics we have been reluctant to face up to and asks if, even now, we would rather bury our heads in the sand rather than face harsh truths.

- 1063 reads

## The Road to Reality: A Complete Guide to the Laws of the Universe

If Albert Einstein were alive, he would have a copy of The Road to Reality on his bookshelf. So would Isaac Newton. This may be the most complete mathematical explanation of the universe yet published, and Roger Penrose richly deserves the accolades he will receive for it. That said, let us be perfectly clear: this is not an easy book to read. The number of people in the world who can understand everything in it could probably take a taxi together to Penrose's next lecture.

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- 883 reads

## Gödel, Escher, Bach: An Eternal Golden Braid

Twenty years after it topped the bestseller charts, Douglas R. Hofstadter's Gödel, Escher, Bach: An Eternal Golden Braid is still something of a marvel. Besides being a profound and entertaining meditation on human thought and creativity, this book looks at the surprising points of contact between the music of Bach, the artwork of Escher, and the mathematics of Gödel. It also looks at the prospects for computers and artificial intelligence (AI) for mimicking human thought.

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- 1132 reads

## Dangerous Knowledge

In this one-off documentary, David Malone looks at four brilliant mathematicians - Georg Cantor, Ludwig Boltzmann, Kurt Gödel and Alan Turing - whose genius has profoundly affected us, but which tragically drove them insane and eventually led to them all committing suicide.

The film begins with Georg Cantor, the great mathematician whose work proved to be the foundation for much of the 20th-century mathematics. He believed he was God's messenger and was eventually driven insane trying to prove his theories of infinity.

- 1608 reads

## Alan Turing

Alan Mathison Turing, OBE, FRS (/ˈtjʊərɪŋ/ tewr-ing; 23 June 1912 – 7 June 1954), was a British mathematician, logician, cryptanalyst, and computer scientist. He was highly influential in the development of computer science, giving a formalisation of the concepts of "algorithm" and "computation" with the Turing machine, which can be considered a model of a general purpose computer.[2][3][4] Turing is widely considered to be the father of computer science and artificial intelligence.[5]

- 1595 reads

## Stephen Wolfram

Stephen Wolfram is the creator of Mathematica, the author of A New Kind of Science, the creator of Wolfram|Alpha, and the founder and CEO of Wolfram Research. Over the course of his career, he has been responsible for many discoveries, inventions and innovations in science, technology and business.

Born in London in 1959, Wolfram was educated at Eton, Oxford, and Caltech. He published his first scientific paper at the age of 15, and had received his PhD in theoretical physics from Caltech by the age of 20. Wolfram's early scientific work was mainly in high-energy physics, quantum field theory, and cosmology, and included several now-classic results. Having started to use computers in 1973, Wolfram rapidly became a leader in the emerging field of scientific computing, and in 1979 he began the construction of SMP—the first modern computer algebra system—which he released commercially in 1981.

In recognition of his early work in physics and computing, Wolfram became in 1981 the youngest recipient of a MacArthur Fellowship. Late in 1981 Wolfram then set out on an ambitious new direction in science aimed at understanding the origins of complexity in nature. Wolfram's first key idea was to use computer experiments to study the behavior of simple computer programs known as cellular automata. And starting in 1982, this allowed him to make a series of startling discoveries about the origins of complexity. The papers Wolfram published quickly had a major impact, and laid the groundwork for the emerging field that Wolfram called "complex systems research."

Through the mid-1980s, Wolfram continued his work on complexity, discovering a number of fundamental connections between computation and nature, and inventing such concepts as computational irreducibility. Wolfram's work led to a wide range of applications—and provided the main scientific foundations for such initiatives as complexity theory and artificial life. Wolfram himself used his ideas to develop a new randomness generation system and a new approach to computational fluid dynamics—both of which are now in widespread use.

Following his scientific work on complex systems research, in 1986 Wolfram founded the first research center and the first journal in the field, Complex Systems. Then, after a highly successful career in academia—first at Caltech, then at the Institute for Advanced Study in Princeton, and finally as Professor of Physics, Mathematics, and Computer Science at the University of Illinois—Wolfram launched Wolfram Research, Inc.

Wolfram began the development of Mathematica in late 1986. The first version of Mathematica was released on June 23, 1988, and was immediately hailed as a major advance in computing. In the years that followed, the popularity of Mathematica grew rapidly, and Wolfram Research became established as a world leader in the software industry, widely recognized for excellence in both technology and business. Currently at Version 9, Mathematica has become the standard software language and environment for scientific, technical, and algorithmic computation, and algorithmic software development.

In 1991, Wolfram began to divide his time between Mathematica development and scientific research. Building on his work from the mid-1980s, and now with Mathematica as a tool, Wolfram made a rapid succession of major new discoveries. By the mid-1990s his discoveries led him to develop a fundamentally new conceptual framework, which he then spent the remainder of the 1990s applying not only to new kinds of questions, but also to many existing foundational problems in physics, biology, computer science, mathematics, and several other fields.

After more than ten years of highly concentrated work, Wolfram finally described his achievements in his 1200-page book A New Kind of Science. Released on May 14, 2002, the book was widely acclaimed and immediately became a bestseller. Its publication has been seen as initiating a paradigm shift of historic importance in science, with new implications emerging every year.

Building on Mathematica and the ideas of A New Kind of Science, Wolfram embarked on his most ambitious project to date: building a system that would make as much of the world's knowledge as possible computable and accessible to everyone. The release of Wolfram|Alpha in May 2009 was widely viewed as a historic step forward, that has defined a new dimension for computation, and is now an important tool used by millions of people every day.

Wolfram has been president and CEO of Wolfram Research since its founding in 1987. In addition to his business leadership, Wolfram is deeply involved in the development of the company's technology, and personally oversees the functional design of the company's core products.

In recent years, Wolfram's penchant for innovation has been applied ever more widely. Building on the deep technology stacks associated with Mathematica and Wolfram|Alpha, the advances of A New Kind of Science, and the success of his business endeavors, Wolfram is now developing technology and products in several important new directions.

In addition to his direct personal contributions, Wolfram also serves as an advisor and mentor in a variety of corporate, entrepreneurial and educational settings.

- 1571 reads

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