Looking Backward: From Euler to Riemann

DOI10.1007/978-3-319-60039-0_1zbMath1391.01004arXiv1710.03982OpenAlexW2760427516MaRDI QIDQ4607224

Athanase Papadopoulos

Publication date: 13 March 2018

Published in: From Riemann to Differential Geometry and Relativity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.03982

zbMATH Keywords

Riemannian geometryzeta functiontopologyintegrationRiemann surfacehypergeometric functiondifferential geometrytrigonometric serieselliptic integralelliptic functionspaceabelian integralabelian functionfunction of a complex variable

Mathematics Subject Classification ID

History of mathematics in the 18th century (01A50) Integrals of Riemann, Stieltjes and Lebesgue type (26A42) History of mathematics in the 19th century (01A55) Classical hypergeometric functions, ({}_2F_1) (33C05) History of functions of a complex variable (30-03)

Related Items (3)

Physics in Riemann’s Mathematical Papers ⋮ Cauchy and Puiseux: Two Precursors of Riemann ⋮ Riemann Surfaces: Reception by the French School

Cites Work

• Differential geometry in the large. Seminar lectures New York University 1946 and Stanford University 1956. With a preface by S. S. Chern
• Apollonius of Perga, Conics. Volume 1.1: Book I. Greek and Arabic text established, translated and annotated under the direction of Roshdi Rashed. Historical and mathematical commentary, edition and translation of the Arabic text by Rashed
• Menelaus' ``Spherics. Early translation and al-Māhānī/al-Harawī's version
• The early history of the hypergeometric function
• Euler's troublesome series: An early example of the use of trigonometric series
• Riemann, Betti and the birth of topology
• The evolution of the concept of homeomorphism
• History of classical Diophantine analysis. From Abū Kāmil to Fermat
• Geometry and monadology. Leibniz's \textit{analysis situs} and philosophy of space
• Configuration spaces of planar linkages
• Methodus inveniendi lineas curvas maximi minimive proprietate gaudentes, sive solutio problematis isoperimetrici lattissimo sensu accepti
• Riemann’s Memoir Über das Verschwinden der $$\vartheta $$ -Functionen
• Riemann’s Work on Minimal Surfaces
• Physics in Riemann’s Mathematical Papers
• Cauchy and Puiseux: Two Precursors of Riemann
• Riemann Surfaces: Reception by the French School
• Quasiconformal mappings, from Ptolemy's geography to the work of Teichm\"uller
• The Euler Characteristic and Polya's Dream
• On the Representation of the Spherical Surface on the Plane
• On the Geographical Projection of the Surface of the Sphere
• On Delisle’s Geographical Projection Used for a General Map of the Russian Empire
• A History of the Prime Number Theorem
• The Foremost Textbook of Modern Times
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Looking Backward: From Euler to Riemann