The ice cream cone proof and Tom Apostol – Bits of DNA

The ice-cream-cone-proof by Lior Pachter

“My Caltech calculus professor, Tom Apostol, passed away yesterday May 8th 2016. When I arrived in his Math 1b class in the Fall of 1990 I thought, like most of my classmates, that I already knew calculus. I may have known it but I didn’t understand it. Apostol taught me the understanding part.”

 

The Fibonacci Sequence – In Our Time with Melvyn Bragg

The Fibonacci Sequence

“Melvyn Bragg and guests discuss the Fibonacci Sequence. Named after a 13th century Italian Mathematician, Leonardo of Pisa who was known as Fibonacci, each number in the sequence is created by adding the previous two together. It starts 1 1 2 3 5 8 13 21 and goes on forever. It may sound like a piece of mathematical arcania but in the 19th century it began to crop up time and again among the structures of the natural world, from the spirals on a pinecone to the petals on a sunflower.The Fibonacci sequence is also the mathematical first cousin of the Golden Ratio – a number that has haunted human culture for thousands of years. For some, the Golden ratio is the essence of beauty found in the proportions of the Parthenon and the paintings of Leonardo Da Vinci.

With Marcus du Sautoy, Professor of Mathematics at the University of Oxford; Jackie Stedall, Junior Research Fellow in History of Mathematics at Queen’s College, Oxford; Ron Knott, Visiting Fellow in the Department of Mathematics at the University of Surrey.”

 

Euclid’s Elements – In Our Time with Melvyn Bragg

Euclid’s Elements

BBC Radio 4 In Our Time.

Melvyn Bragg and guests discuss Euclid’s Elements, a mathematical text book attributed to Euclid and in use from its appearance in Alexandria, Egypt around 300 BC until modern times, dealing with geometry and number theory. It has been described as the most influential text book ever written. Einstein had a copy as a child, which he treasured, later saying “If Euclid failed to kindle your youthful enthusiasm, then you were not born to be a scientific thinker.”

Marcus du Sautoy, Professor of Mathematics and Simonyi Professor for the Public Understanding of Science at the University of Oxford

Serafina Cuomo, Reader in Roman History at Birkbeck University of London

June Barrow-Green, Professor of the History of Mathematics at the Open University