In Our Time With Melvyn Bragg Folgen

Melvyn Bragg and guests John Barrow, Colva Roney-Dougal and Marcus du Sautoy explore the unintended consequences of mathematical discoveries, from the computer to online encryption, to alternating current and predicting the path of asteroids.In his book The Mathematician's Apology (1941), the Cambridge mathematician GH Hardy expressed his reverence for pure maths, and celebrated its uselessness in the real world. Yet one of the branches of pure mathematics in which Hardy excelled was number theory, and it was this field which played a major role in the work of his younger colleague, Alan Turing, as he worked first to crack Nazi codes at Bletchley Park and then on one of the first computers.Melvyn Bragg and guests explore the many surprising and completely unintended uses to which mathematical discoveries have been put. These include:The cubic equations which led, after 400 years, to the development of alternating current - and the electric chair.The centuries-old work on games of chance which eventually contributed to the birth of population statistics.The discovery of non-Euclidean geometry, which crucially provided an 'off-the-shelf' solution which helped Albert Einstein forge his theory of relativity.The 17th-century theorem which became the basis for credit card encryption.In the light of these stories, Melvyn and his guests discuss how and why pure mathematics has had such a range of unintended consequences.John Barrow is Professor of Mathematical Sciences at the University of Cambridge and Professor of Geometry at Gresham College, London; Colva Roney-Dougal is Lecturer in Pure Mathematics at the University of St Andrews; Marcus du Sautoy is Charles Simonyi Professor for the Public Understanding of Science and Professor of Mathematics at the University of Oxford.

Melvyn Bragg and guests Robert Hoyland, Robert Irwin and Hugh Kennedy discuss the life and ideas of the 14th-century Arab philosopher of history Ibn Khaldun.Ibn Khaldun was a North African statesman who retreated into the desert in 1375. He emerged having written one of the most important ever studies of the workings of history.Khaldun was born in Tunis in 1332. He received a supremely good education, but at 16 lost many of his family to the Black Death. His adult life was similarly characterised by sharp turns of fortune. He built a career as a political operator in cities from Fez to Granada. But he often fared badly in court intrigues, was imprisoned and failed to prevent the murder of a fellow statesman. In 1375, he withdrew into the Sahara to work out why the Muslim world had degenerated into division and decline. Four years later, he had completed not only a history of North African politics but also, in the book's long introduction, one of the great studies of history. Drawing on both regional history and personal experience, he set out a bleak analysis of the rise and fall of dynasties. He argued that group solidarity was vital to success in power. Within five generations, though, this always decayed. Tired urban dynasties inevitably became vulnerable to overthrow by rural insurgents.Later in life, Ibn Khaldun worked as a judge in Egypt, and in 1401 he met the terrifying Mongol conqueror Tamburlaine, whose triumphs, Ibn Khaldun felt, bore out his pessimistic theories.Over the last three centuries Ibn Khaldun has been rediscovered as a profoundly prescient political scientist, philosopher of history and forerunner of sociology - one of the great thinkers of the Muslim world.Robert Hoyland is Professor of Islamic History at the University of Oxford; Robert Irwin is Senior Research Associate of the School of Oriental and African Studies at the University of London; Hugh Kennedy is Professor of Arabic in the School of Oriental and African Studies at the University of London.

Melvyn Bragg and guests Rosemary Ashton, Dinah Birch and Valentine Cunningham discuss George Eliot's novel Silas Marner.Published in 1861, Silas Marner is by far Eliot's shortest and seemingly simplest work. Yet beneath the fairytale-like structure, of all her novels it offers the most focused expression of Eliot's moral view. Influenced by the deconstruction of Christianity pioneered by leading European thinkers including Auguste Comte and Ludwig Feuerbach, Silas Marner is a highly sophisticated attempt to translate the symbolism of religion into purely human terms.The novel tells the story of Silas, a weaver who is thrown out of his religious community after being falsely charged with theft. Silas is embittered and exists only for his work and his precious hoard of money - until that money is stolen, and an abandoned child wanders into his house.By the end of her lifetime, George Eliot was the most powerful female intellectual in the country. Her extraordinary range of publications encompassed novels, poetry, literary criticism, scientific and religious texts. But beneath her fierce intellecualism was the deep convinction that for society to continue, humans must connect with their fellow humans. And it is this idea that forms the core of her writing.Rosemary Ashton is Quain Professor of English Language and Literature at University College, London; Dinah Birch is Professor of English at Liverpool University; And Valentine Cunningham is Professor of English Language and Literature at Corpus Christi, University of Oxford.