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.
Rezensionen / Stimmen
"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
Reihe
Sprache
Verlagsort
Zielgruppe
Für Beruf und Forschung
Für höhere Schule und Studium
Produkt-Hinweis
Maße
Höhe: 229 mm
Breite: 152 mm
Dicke: 19 mm
Gewicht
ISBN-13
978-0-691-02353-3 (9780691023533)
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Schweitzer Klassifikation
*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