Geometry: A Very Short Introduction (Very Short Introductions)

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This Very Short Introductioncovers 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. 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. As the name suggests the book tries to tell a non-mathematician but interested person, what is Math about, what is it's goals, how mathematicians think and some techniques and results of modern and classical Math.

The author views mathematics through a late-wittgensteinian lense, abstracting from semantics of mathematical terms while focusing on their use.

wether one thinks of it as a rigid and dry subject or have the other opinion about the subject, it doesn't really matter since it works. There are so many gems in every chapter and the way they are connected makes you understand why mathematicians treat them in that way. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. I haven't read many of these 'Very short introductions', and some I've dipped into have been disappointing.

Actually I think the book can be very enlightening for math undergraduate students, especially for math teachers.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.