Modelling the World – Raymond Flood

Modelling the World

Sixth and final lecture in the Gresham Lecture Series “Shaping Modern Mathematics.”

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Complex numbers, quaternions and octonions – Plus magazine

Curious quaternions  by Helen Joyce, in an interview with John Baez, a mathematical physicist at the University of California, Riverside. From Plus magazine.

Renaissance Maths – In Our Time, Melvyn Bragg

Renaissaance Mathematics – In Our Time with Melvyn Bragg on BBC Radio 4.

“Melvyn Bragg and guests discuss Renaissance Mathematics. As with so many areas of European thought, mathematics in the Renaissance was a question of recovering and, if you were very lucky, improving upon Greek ideas. The geometry of Euclid, Appollonius and Ptolemy ruled the day. Yet within two hundred years, European mathematics went from being an art that would unmask the eternal shapes of geometry to a science that could track the manifold movements and changes of the real world. The Arabic tradition of Algebra was also assimilated. In its course it changed the way people understood numbers, movement, time, even nature itself and culminated in the calculus of Isaac Newton and Gottfried Leibniz. But how did this profound change come about? What were the ideas that drove it and is this the period in which mathematics became truly modern?”

Calculus – In Our Time with Melvyn Bragg

Calculus – In Our Time with Melvyn Bragg, BBC Radio 4.

“Melvyn Bragg discusses the epic feud between Sir Isaac Newton and Gottfried Leibniz over who invented an astonishingly powerful new mathematical tool – calculus. Both claimed to have conceived it independently, but the argument soon descended into a bitter battle over priority, plagiarism and philosophy. Set against the backdrop of the Hanoverian succession to the English throne and the formation of the Royal Society, the fight pitted England against Europe, geometric notation against algebra. It was fundamental to the grounding of a mathematical system which is one of the keys to the modern world, allowing us to do everything from predicting the pressure building behind a dam to tracking the position of a space shuttle.”