The 2015 Beckenbach Book Prize winner is:
By Seth Braver
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Mathematicians of all stripes know that the non-Euclidean revolution was a game-changer in 19th century mathematics. But relatively few mathematicians are acquainted with the little book that heralded this revolution: Nikolai Lobachevski’s Theory of Parallels (in German, 1840).
Seth Braver has come to our rescue. In Lobachevski Illuminated, he gives us a translation of the text, accompanies each of its 37 propositions with an extensive commentary, and places these ideas in their proper historical context. As a result, Braver has done nothing less than give new life to an old masterpiece.
The reader of Lobachevski Illuminated will encounter a host of provocative questions, will delve deeply into the history of geometry, and will gain a thorough appreciation of the genius of Nikolai Lobachevski.