Riemannian Geometry / / Luther Pfahler Eisenhart.

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 cent...

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Superior document:Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999
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Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2016]
©1950
Year of Publication:2016
Language:English
Series:Princeton Landmarks in Mathematics and Physics ; 51
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Physical Description:1 online resource (272 p.)
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Other title:Frontmatter --
Preface --
Contents --
Chapter I. Tensor analysis --
Chapter II. Introduction of a metric --
Chapter III. Orthogonal ennuples --
Chapter IV. The geometry of sub-spaces --
Chapter V. Sub-spaces of a flat space --
Chapter VI. Groups of motions --
Appendices --
Bibliography --
Index
Summary: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.
Format:Mode of access: Internet via World Wide Web.
ISBN:9781400884216
9783110442496
DOI:10.1515/9781400884216
Access:restricted access
Hierarchical level:Monograph
Statement of Responsibility: Luther Pfahler Eisenhart.