In Our Time2 Nov 2006

The Poincaré Conjecture

Melvyn Bragg and guests discuss the Poincaré Conjecture. The great French mathematician Henri Poincaré declared: “The scientist does not study mathematics because it is useful; he studies it because he delights in it, and he delights in it because it is beautiful. If nature were not beautiful, it would not be worth knowing and life would not be worth living. And it is because simplicity, because grandeur, is beautiful that we preferably seek simple facts, sublime facts, and that we delight now to follow the majestic course of the stars.” Poincaré’s ground-breaking work in the 19th and early 20th century has indeed led us to the stars and the consideration of the shape of the universe itself. He is known as the father of topology – the study of the properties of shapes and how they can be deformed. His famous Conjecture in this field has been causing mathematicians sleepless nights ever since. He is also credited as the Father of Chaos Theory.So how did this great polymath change the way we understand the world and indeed the universe? Why did his conjecture remain unproved for almost a century? And has it finally been cracked?With June Barrow-Green, Lecturer in the History of Mathematics at the Open University; Ian Stewart, Professor of Mathematics at the University of Warwick; Marcus du Sautoy, Professor of Mathematics at the University of Oxford.

Det här avsnittet är hämtat från ett öppet RSS-flöde och publiceras inte av Podme. Det kan innehålla reklam.

Avsnitt(1101)

Seashells

Misha Glenny and guests discuss a familiar feature of our beaches: seashells, from their astonishing shapes and patterns that teach us about Earth’s oceans, to the ways that humans have treasured shel...

30 Juli 53min

Vigée Le Brun

Misha Glenny and guests discuss the French portrait painter Élisabeth Vigée Le Brun (1755 - 1842). From her teens she delighted her high society subjects in and around Paris, notably Marie Antoinette ...

23 Juli 56min

The Delian League

Misha Glenny and guests discuss the origins and evolution of an alliance which transformed the geopolitics of the classical world: the Delian League. Since the start of the 5th Century BCE, city state...

16 Juli 54min

Machado de Assis

Misha Glenny and guests discuss one of the towering figures of Brazilian and world literature, Machado de Assis (1839 - 1908). He was the descendant of slaves and built his career while slavery was s...

9 Juli 53min

The Global Story - The soft power superpower, with Roman Mars

As 4th July approaches, we think you’ll like this episode of The Global Story. All week, The Global Story podcast is exploring the surprising and often hidden ways the US has shaped the modern world. ...

3 Juli 27min

The Evolution of Trees

Misha Glenny and guests discuss the earliest evidence we have of the existence of trees and how even plants we might have on windowsills or as vegetables in gardens can and do, in the right conditions...

2 Juli 54min

The Welsh Marches

At the Hay Festival, Misha Glenny and guests discuss the impact of the Norman invasion on the people and land of Wales and across the modern border with England in what became known as The Welsh March...

25 Juni 52min

The Levellers

Misha Glenny and guests discuss the group which came to be known as the Levellers and emerged during what would become arguably one of the bloodiest and most turbulent periods of English history. Afte...

18 Juni 55min