Dunajski M. Geometry. A Very Short Introduction 2022 torrent

Textbook in PDF format

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 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.
What is geometry?
Euclidean geometry
Non-Euclidean geometry
Geometry of curved spaces
Projective geometry
Other geometries
Geometry of the physical world