Description: 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.
Review Quotes: "Eisenhart's classic work on the application of tensor calculus to geometry was originally published in 1926 . . . It is still one of the best accounts of the subject."---E. J. F. Primrose, Mathematical Gazette