In his classic work of geometry, Euclid focused on the properties of flat surfaces. In the age of exploration, mapmakers such as Mercator had to concern themselves with the properties of spherical surfaces. The study of curved surfaces, or non-Euclidean geometry, flowered in the late nineteenth century, as mathematicians such as Riemann increasingly questioned Euclid's parallel postulate, and by relaxing this constraint derived a wealth of new results. These seemingly abstract properties found immediate application in physics upon Einstein's introduction of the general theory of relativity.
In this book, Eisenhart succinctly surveys the key concepts of Riemannian geometry, addressing mathematicians and theoretical physicists alike.
By:
Luther Pfahler Eisenhart Imprint: Princeton University Press Country of Publication: United States Edition: New edition Dimensions:
Height: 254mm,
Width: 197mm,
Spine: 18mm
Weight: 454g ISBN:9780691023533 ISBN 10: 0691023530 Series:Princeton Landmarks in Mathematics and Physics Pages: 272 Publication Date:02 November 1997 Audience:
Professional and scholarly
,
College/higher education
,
Undergraduate
,
Primary
Format:Paperback Publisher's Status: Active
Reviews for Riemannian Geometry
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