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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 rolegeometry plays in the broader context of science and art. Very Short Introductions: Brilliant, Sharp, Inspiring ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.
List 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
About the author
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).
Summary
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.
Additional text
Various geometries are presented, each with particularly engaging examples of problems that are formulated in that particular geometry.
Report
Various geometries are presented, each with particularly engaging examples of problems that are formulated in that particular geometry. Victor V. Pambuccian, zb Math Open
