TY  - BOOK
AU  - Eisenhart,Luther Pfahler
TI  - Riemannian Geometry
T2  - Princeton Landmarks in Mathematics and Physics
SN  - 9781400884216
AV  - QA641 .R546 2016
PY  - 2016///
PB  - Princeton University Press
KW  - Geometry, Differential
KW  - Riemann surfaces
KW  - Electronic Books
N1  - 2; 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; 2; b
N2  - 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
UR  - https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=1286093&site=eds-live&custid=s3260518
ER  -