Overview

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.

Full Product Details

Author:   Luther Pfahler Eisenhart
Publisher:   Princeton University Press
Imprint:   Princeton University Press
Edition:   New edition
Dimensions:   Width: 19.70cm , Height: 1.80cm , Length: 25.40cm
Weight:   0.454kg
ISBN:  

9780691023533

ISBN 10:   0691023530
Pages:   272
Publication Date:   02 November 1997
Audience:   Professional and scholarly ,  College/higher education ,  Professional & Vocational ,  Tertiary & Higher Education
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand  
We will order this item for you from a manufactured on demand supplier.
Language:   English

Table of Contents

*Frontmatter, pg. i*Preface, pg. v*Contents, pg. vii*Chapter I. Tensor analysis, pg. 1*Chapter II. Introduction of a metric, pg. 34*Chapter III. Orthogonal ennuples, pg. 96*Chapter IV. The geometry of sub-spaces, pg. 143*Chapter V. Sub-spaces of a flat space, pg. 187*Chapter VI. Groups of motions, pg. 221*Appendices, pg. 252*Bibliography, pg. 289*Index, pg. 301

Reviews

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

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

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