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Riemannian Geometry - Eisenhart, Luther Pfahler
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In his classic work of geometry, Euclid focused on the properties of flat surfaces. The study of curved surfaces, or non-Euclidean geometry, flowered in the late 19th century, thanks to mathematicians such as Riemann. In this book, Luther Eisenhart succinctly surveys the key concepts of Riemannian geometry, addressing mathematicians and theoretical physicists alike.

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Riemannian Geometry 1997, Princeton University Press, Princeton

ISBN-13: 9780691023533

Trade paperback

Riemannian Geometry 1950, Princeton University Press, Princeton

ISBN-13: 9780691080260

Hardcover