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.
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.
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).
Inhaltsangabe
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
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
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