Riemannian Geometry

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.

Info autore

Luther Pfahler Eisenhart

Riassunto

In this text the author looks at the work of Riemann, who in the 19th century contributed to the study of curved surfaces, or non-Euclidian geometry. Riemann's results later found application in physics, when Einstein introduced his theory of relativity.

Testo aggiuntivo

"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

Dettagli sul prodotto

• Autori: Luther Eisenhart, Luther Pfahler Eisenhart
• Editore: University Presses
• Lingue: Inglese
• Formato: Tascabile
• Pubblicazione: 02.11.1997
• EAN: 9780691023533
• ISBN: 978-0-691-02353-3
• Pagine: 272
• Peso: 454 g
• Serie: Princeton Landmarks in Mathema; Princeton Landmarks in Mathematics and Physics
• Categorie: Saggistica > Natura, tecnica > Astronomia: tematiche generali, opere di consultazione; Scienze naturali, medicina, informatica, tecnica > Matematica > Geometria; SCIENCE / Physics / General, MATHEMATICS / Geometry / Differential, Physics, Differential & Riemannian geometry, Non-Euclidean geometry, Differential and Riemannian geometry, MATHEMATICS / Geometry / Non-Euclidean