Logic, Mathematics 151 



Ball, Walter William Rouse (1850-1925; Isis 8, 321-24): 



1888: Short account of the history of mathematics (London). — Fifth ed. 1912 

 (546 p.; Isis 1, 561).— Sixth ed. 1915.— Stereotyped ed. 1919. 



Bell, Eric Temple: 



1937: Men of mathematics (613 p., 29 ill., New York; Isis 28, 510-13). 

 1940: The development of mathematics (598 p., New York; Isis 33, 291-93). — 

 Second ed. enlarged (651 p., 1945). 



Bouligand, Georges (1889- ): 



1935: L'evolution des sciences physiques et mathematiques (Paris). 



1949: Le declin des absolus mathematico-logiques (Paris; Isis 42, 71 ), with Jean 

 Desgranges. 



Boutroux, Pierre (1880-1922): 



1914-19: Les principes de I'analyse mathematique. Expose historique et 

 critique (2 vols., Paris; Isis 1, 577-89, 734-42; 4, 96-107). 



1920: L'ideal scientifique des mathematiciens (274 p., Paris; Isis 4, 93-96). — 

 German translation (Leipzig 1927; Isis 11, 236). 



Braunmuhl, Anton von (1853-1908): 



1900-03: Vorlesungen iiber Geschichte der Trigonometric (2 vols., Leipzig). 



Cajori, Florian (1859-1930; Isis 17, 384-407): 



1894: History of mathematics (436 p.. New York). Reprinted 1895, 1897, 

 1901, 1909.— Second ed. revised (516 p., New York 1919). 



Almost half of the book (p. 278-516) deals with the nineteenth century. 



1928-29: History of mathematical notations (2 vols., Chicago; Isis 12, 232-36; 

 13, 129-30). 



Cantor, Moritz (1829-1920): 



1880-1908: Vorlesungen iiber Geschichte der Mathematik (4 vols. Leipzig, 

 Teubner).— Vol. 1, from the beginning to 1200. First ed. 1880; 2nd, 1894; 3rd, 

 1907.— Vol. 2, from 1200 to 1668. First ed. 1892, 2nd, 1899-1900; (reprinted 

 1913).— Vol. 3, from 1668 to 1758. First ed. 1898, 2nd, with only a few correc- 

 tions, 1901.— Vol. 4, from 1759 to 1799. Published in 1908 by a group of spe- 

 cialists under Cantor's direction, his own contribution being restricted to a brief 

 conclusion. 



These volumes at the time of their publication were almost as good as any 

 history can ever hope to be. To be sure, there were many mistakes concerning 

 details, some of which were gradually corrected by Gustaf Enestrom ( 1852- 

 1923; Isis 8, 313-20 portrait) and his collaborators in Bibhotheca Mathematica, 

 but the general lines were remarkably sound. Since that time much progress has 

 been made, especially with regard to the ancient and mediaeval period and 

 oriental mathematics in general, and Cantor has now become very insufficient in 

 those respects. If these defects were Jess fundamental, they might be corrected in 

 a new edition; as it is, at least the history of ancient and mediaeval times must be 

 entirely rewTritten. 



CooHdge, Julian Lowell: 



1949: The mathematics of great amateiurs (220 p.. Clarendon Press, Oxford; 

 Isis 41, 234-36). 



Enriques, Federigo (1871-1946): 



1938: Le matematiche nella storia e nella cultura (340 p., 22 pi., Bologna; Isis 

 31, 108-9). 



Gunther, Siegmund (1848-1923): 



1908: Geschichte der Mathematik bis Cartesius (428 p., Leipzig). Continued 



by WiELEITNER, q.v. 



