The King of Infinite Space

David Berlinski, The King of Infinite Space: Euclid and His Elements (Basic Books, 2013)

Summary: Elegant structure, beautiful prose. A cogent discussion of historical mathematics and geometry's place in that history.

Key Quote: "The Elements is an exaltation of geometry. Euclid made a conscientious but unsuccessful effort to incorporate into his thoughts the numbers and their properties, but it is to geometry that his heart owes its allegiance. Because this is so, he was able to offer mathematicians what mathematicians so rarely offer, and that is a vision." - p. 153

Bottom Line: Read this book if you would be entertained by a lyrically conversational approach to geometry.

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