Technology is opening up new possibilities for physical, sexual and romantic relationships with astonishing speed. But is seeking human connection virtually a positive step forward or are we stunting our intimate lives? In the first episode of this series, meet a cyber BDSM couple who use tracking technology to fulfill their master slave relationship; an eligible bachelor in Japan who has fallen in love with a virtual girlfriend; and a revenge porn victim whose life was upended when her private naked photos were published online.

We all project images of ourselves online - a curated identity that defines how we want to be perceived. But what temptations exist to embellish and what are the dark implications? In this episode, enter the world of Cyberbanging, where inner city youth are using social media to brag, conspire and incite violence; two African-American women bloggers who have turned the table on the trolls who threaten them; and the creator of Abdullah X, an online character who's trying to keep Muslim kids from falling under the spell of Islamic extremists.

The Internet promises us escape from reality. We can go places we never thought possible and express ourselves as never before. But as we sit in our homes surrounded by screens, are we free... and safe? In this episode meet a woman pulled into an online cult from the safety of her bedroom; a former pilot who suffers from Electromagnetic Hypersensitivity and can only find relief in the absence of electricity and wifi; plus, a quadriplegic who uses cutting-edge adaptive robotics and virtual reality to transcend his body's limitations.

The Internet is an uncontrollable labyrinth of content and imagery that operates under loose laws and partial anonymity - a new frontier where people can do anything and see anything, whether they should or not. In this lawless landscape, who's in control? The protectors? The abusers? In this episode meet the content moderators who watch the worst of the Internet so you don't have to; a convicted hacker whose punishment was the virtual prison of the unplugged; plus, a blackhat hacker who encrypts and holds computer files hostage.

Bitcoin is a peer-to-peer monetary system in which all transaction records are public. Participants can use its open-source software to transfer virtual currency to one another as easily as they might send an email. Bitcoin opens an uncharted world of new possibilities to explore. We'll follow the stories of entrepreneurs and startups that are helping shape the new financial frontier. We'll look at the competitive mining market and the various subcultures within the Bitcoin community." You'll encounter a variety of characters and opinions as we examine the social and political impact of an open-source digital currency. Will the rise of Bitcoin bring a monetary paradigm shift that will forever change the world? Supposedly invented by a mysterious Japanese man named Satoshi Nakamoto (whose current whereabouts are unknown). Because it is designed to have an absolute ceiling of 21 million Bitcoins in circulation (not anticipated until 2040), and the system has no central depository or administrative authority, it has great appeal to libertarians and others who seek alternatives to a perceived corrupt, manipulative banking infrastructure and excessive government regulations. Its low processing fees compared with those of mainstream credit-card companies also hold considerable allure for merchants.

In the third episode we will see Europe by the 17th century taking over from the Middle East as the powerhouse of mathematical ideas. Great strides had been made in understanding the geometry of objects fixed in time and space. The race was on to discover the mathematics to describe objects in motion. This programme explores the work of Rene Descartes, Pierre Fermat, Isaac Newton, Leonard Euler and Carl Friedrich Gauss. Du Sautoy proceeds to describes René Descartes realisation that it was possible to describe curved lines as equations and thus link algebra and geometry. He talks with Henk J. M. Bos about Descartes. He shows how one of Pierre de Fermat’s theorems is now the basis for the codes that protect credit card transactions on the internet. He describes Isaac Newton’s development of math and physics crucial to understanding the behaviour of moving objects in engineering. He covers the Leibniz and Newton calculus controversy and the Bernoulli family. He further covers Leonhard Euler, the father of topology, and Gauss' invention of a new way of handling equations, modular arithmetic. The further contribution of Gauss to our understanding of how prime numbers are distributed is covered thus providing the platform for Bernhard Riemann's theories on prime numbers. In addition Riemann worked on the properties of objects, which he saw as manifolds that could exist in multi-dimensional space.