✦ LIBER ✦

Riemannian Geometry

✍ Scribed by Luther Pfahler Eisenhart

Book ID: 127422452
Publisher: Princeton University Press
Year: 1997
Tongue: English
Weight: 3 MB
Category: Library
ISBN-13: 9780691023533

No coin nor oath required. For personal study only.

✦ Synopsis

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.

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