Riemannian geometry
著者
書誌事項
Riemannian geometry
（Princeton landmarks in mathematics and physics）（Princeton paperbacks）
Princeton University Press, 1997
- : pbk
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注記
Includes bibliography (p. [289]-300) and indexes
Eighth printing, for the Princeton Landmarks in Mathematics and Physics series, 1997
内容説明・目次
内容説明
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.
目次
*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
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