Geometry: A Very Short Introduction

Description

This book provides a fresh modern introduction to geometry, an ancient branch of mathematics with important applications. It takes readers from Euclidean and non-Euclidean geometries, to curved spaces, and the geometry of space-time inside a black hole, and outlines the role geometry plays in the broader context of science and art.

• Offers a fresh modern introduction to a fundamental branch of mathematics, from Euclid to the geometry of spacetime in black holes
• Stretches the reader but requires no more than high school mathematics
• Highlights the broader connections of geometry with science and art
• Part of the Very Short Introductions series - over ten million copies sold worldwide

About the Author(s)

Maciej Dunajski, Professor of Mathematical Physics, University of Cambridge

Maciej Dunajski is a Fellow of Clare College <http://www.clare.cam.ac.uk/Home/>, and a Professor of Mathematical Physics at the Department of Applied Mathematics and Theoretical Physics at the University of Cambridge. His research interests are Differential and Projective Geometry, Solitons, and General Theory of Relativity. In 2021 he was awarded the Atiyah Fellowship by the London Mathematical Society. He is the author of Solitons, Instantons, and Twistors, (OUP, 2009).

Table of Contents

1:What is geometry?
2:Euclidean geometry
3:Non-Euclidean geometry
4:Geometry of curved spaces
5:Projective geometry
6:Other geometries
7:Geometry of the physical world
Further Reading
Index

Reviews

"It is a lovely little book, to be recommended for sixth-formers or first year undergraduates: it will open their eyes to the amazing beauty and power of this ancient and modern subject." - Stephen Huggett, London Mathematical Society Newsletter, March 2023

"Various geometries are presented, each with particularly engaging examples of problems that are formulated in that particular geometry." - Victor V. Pambuccian, zb Math Open