The Wonder Book of Geometry

David Acheson transports us into the world of geometry, one of the oldest branches of mathematics. He describes its history, from ancient Greece to the present day, and its emphasis on proofs. With its elegant deduction and practical applications, he demonstrates how geometry offers the quickest route to the spirit of mathematics at its best.

How can we be sure that Pythagoras's theorem is really true? Why is the 'angle in a semicircle' always 90 degrees? And how can tangents help determine the speed of a bullet? David Acheson takes the reader on a highly illustrated tour through the history of geometry, from ancient Greece to the present day. He emphasizes throughout elegant deduction and practical applications, and argues that geometry can offer the quickest route to the whole spirit of mathematics at its best. Along the way, we encounter the quirky and the unexpected, meet the great personalities involved, and uncover some of the loveliest surprises in mathematics.

There is no better tour guide to the wonders of geometry than the delightful David Acheson.

Autorentext
David Acheson is an Emeritus Fellow of Jesus College, Oxford, and the University's first winner of a National Teaching Fellowship, in 2004. He was President of the Mathematical Association from 2010 to 2011, and now lectures widely on mathematics to young people and the general public. In 2013, Acheson was awarded an Honorary D.Sc. by the University of East Anglia for his outstanding work in the popularisation of mathematics. His books include 1089 and All That (OUP, 2002), and The Calculus Story, (OUP, 2017).

Inhalt

• 1: Introduction

• 2: Getting Started

• 3: Euclid's Elements

• 4: Thales' Theorem

• 5: Geometry in Action

• 6: Pythagoras' Theorem

• 7: 'In Love with Geometry'?

• 8: 'Imagine my exultation, Watson...'

• 9: Congruence and Similarity

• 10: Conversely...

• 11: Circle Theorems

• 12: Off at a Tangent

• 13: From Tangents to Supersonic Flow

• 14: What is pi, exactly?

• 15: The Story of the Ellipse

• 16: Geometry by Coordinates

• 17: Geometry and Calculus

• 18: A Royal Road to Geometry?

• 19: Unexpected Meetings

• 20: Ceva's Theorem

• 21: A Kind of Symmetry

• 22: 'Pyracy' in Woolwich?

• 23: Fermat's Problem

• 24: A Soap Solution

• 25: Geometry in 'The Ladies' Diary'

• 26: What Euclid Did

• 27: Euclid on Parallel Lines

• 28: 'A New Theory of Parallels'?

• 29: Anti-Euclid?

• 30: When Geometry Goes Wrong...

• 31: New Angles on Geometry

• 32: And Finally...