- Paperback: 272 pages
- Publisher: Princeton University Press; Reprint edition (Oct 13 1997)
- Language: English
- ISBN-10: 0691023530
- ISBN-13: 978-0691023533
- Product Dimensions: 22.6 x 15 x 2 cm
- Shipping Weight: 431 g
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Amazon Bestsellers Rank:
#760,134 in Books (See Top 100 in Books)
- #18 in Books > Science > Mathematics > Geometry & Topology > Non-Euclidean Geometries
- See Complete Table of Contents
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Product Details |
Product Description
Review
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
Book Description
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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5.0 out of 5 stars (1 customer review)
17 of 17 people found the following review helpful
5.0 out of 5 stars
The best classical-style exposition of Riemannian Geometry., Nov 3 1998
By Nikolai Mitskievich - Published on Amazon.com
This review is from: Riemannian Geometry (Paperback)
I bought the Russian translation of this book in 1954 and found that this is the best source of the Riemannian geometry, not only for a beginner (as I was at that time), but also for every specialist. Some items fully discussed there by L.P. Eisenhart were even rediscovered decades later --- and published another time as new results. This book is, of course, written in the old good traditional style, one will not find here, e.g., Cartan's forms, but it is really an everlasting treasure. Look also for the Continuous Groups of Transformations by the same author.
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