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Geometry: A Very Short Introduction
Geometry: A Very Short Introduction

Geometry: A Very Short Introduction

Author: 
Maciej Dunajski
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  • 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

   
The study of geometry is at least 2500 years old, and it is within this field that the concept of mathematical proof - deductive reasoning from a set of axioms - first arose. To this day geometry remains a very active area of research in mathematics.
   
This Very Short Introduction covers the areas of mathematics falling under geometry, starting with topics such as Euclidean and non-Euclidean geometries, and ranging to curved spaces, projective geometry in Renaissance art, and geometry of space-time inside a black hole. Starting from the basics, Maciej Dunajski proceeds from concrete examples (of mathematical objects like Platonic solids, or theorems like the Pythagorean theorem) to general principles. Throughout, he outlines the role geometry plays in the broader context of science and art.

Index: 

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

About the author: 

Maciej Dunajski, Professor of Mathematical Physics , University of Cambridge
  
Maciej Dunajski is a Fellow of Clare College, 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)

Product details

ISBN : 9780199683680

Author: 
Maciej Dunajski
Pages
144 Pages
Format
Paperback
Size
111 x 174 mm
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Geometry: A Very Short Introduction

Geometry: A Very Short Introduction

Geometry: A Very Short Introduction