CARTAN, ÉLIE.

La Géométrie des espaces de Riemann.

Paris, Gauthier-Villars et Cie, 1925. Uncut in orig. printed wrappers. (Mémorial des Sciences Mathématiques...Fascicule IX). (4),60,(4) pp. Small tears to backstrip, no loss.

First edition. The modern theory of differential geometry grew up in the years following Einstein's introduction of his general theory of relativity, by the work of Elie Cartan (his Géométrie des espaces de Riemann) and Herman Weyl.
"Cartan was one of the most profound mathematicians of the last hundred years, and his influence is still one of the most decisive in the development of modern mathematics...Cartan's contributions to differential geometry are no less impressive, and it may be said that he revitalized the whole subject, for the initial work of Riemann and Darboux was being lost in dreary computations and minor results...his guiding principle was a considerable extension of the method of "moving frames" of Darboux and Ribaucooour, to which he gave a tremendous flexibility and power, far beyond anything that had been done in classical differential geometry." (Jean Dieudonne in DSB).

Order-nr.: 38704