Open AccessIX. The third elliptic integral and the ellipsotomic problem
Publication year - 1904
Publication title -
philosophical transactions of the royal society of london. series a, containing papers of a mathematical or physical character
Language(s) - English
Resource type - Journals
eISSN - 2053-9258
pISSN - 0264-3952
DOI - 10.1098/rsta.1904.0021
Subject(s) - centennial , elliptic integral , memoir , mathematics , elliptic function , calculus (dental) , ceremony , philosophy , mathematical analysis , theology , art history , history , archaeology , medicine , dentistry
The Abel Centennial Ceremony, held in Christiania, September, 1902, has directed the attention of mathematicians to the great influence of Abel on modern analysis, and. to the history of elliptic functions, and of the foundation by Crelle of the “ Journal für die reine und angewandte Mathematik.” Abel’s article in the first volume of ‘ Crelle’s Journal,' 1826, " Ueber die Integration der Differential-Formelρdx ⁄ √R (A), wenn R undρ gauze Functionen sind,” is of great importance as indicating the existence of what is now called thepseudo-elliptic integral; the present memoir is intended to show the utility of this integral in its application to mechanical theory.