A Brief History of Infinity

Informationen zum Autor BRIAN CLEGG is a prize-winning science writer with a physics degree from Cambridge and a masters in the mathematical discipline operational research. He has written over 20 science books and articles for newspapers and magazines from The Observer and Wall Street Journal to BBC Focus and Playboy. He lives in Wiltshire, England, with his wife and two children. Klappentext Infinity is a concept that fascinates everyone from a seven-year-old child to a maths professor. So remarkable and strange is it that contemplating it has driven at least two great mathematicians over the edge into insanity. Where did the concept of infinity come from? Who were the people who originally defined and later refined this paradoxical quantity? Why is infinity, a concept we can never experience or truly grasp, at the heart of science? How can some infinities be bigger than others? An exploration of the most mind-boggling feature of maths and physics, this work examines amazing paradoxes, for example Hilbert's Hotel. This imaginary resort has an infinite number of rooms, which all happen to be occupied. Unfortunately an endless coach turns up carrying an infinite number of new guests. It's not a problem though - it's easy to prove they can all be accommodated. The book also looks at: the people who devised and refined the concept, the many mind-bending paradoxes of infinity, infinity's place at the heart of mathematics and science in processes such as calculus, how dividing by zero brings infinity into view and infinity and cosmos.The story of a philosophical and mathematical concept that has driven men insane Zusammenfassung The story of a philosophical and mathematical concept that has driven men insane

Préface
The story of a philosophical and mathematical concept that has driven men insane

Auteur
BRIAN CLEGG is a prize-winning science writer with a physics degree from Cambridge and a masters in the mathematical discipline operational research. He has written over 20 science books and articles for newspapers and magazines from The Observer and Wall Street Journal to BBC Focus and Playboy. He lives in Wiltshire, England, with his wife and two children.

Texte du rabat

Infinity is a concept that fascinates everyone from a seven-year-old child to a maths professor. So remarkable and strange is it that contemplating it has driven at least two great mathematicians over the edge into insanity. Where did the concept of infinity come from? Who were the people who originally defined and later refined this paradoxical quantity? Why is infinity, a concept we can never experience or truly grasp, at the heart of science? How can some infinities be bigger than others? An exploration of the most mind-boggling feature of maths and physics, this work examines amazing paradoxes, for example Hilbert's Hotel. This imaginary resort has an infinite number of rooms, which all happen to be occupied. Unfortunately an endless coach turns up carrying an infinite number of new guests. It's not a problem though - it's easy to prove they can all be accommodated. The book also looks at: the people who devised and refined the concept, the many mind-bending paradoxes of infinity, infinity's place at the heart of mathematics and science in processes such as calculus, how dividing by zero brings infinity into view and infinity and cosmos.

Résumé
The story of a philosophical and mathematical concept that has driven men insane