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
*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 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
