February 10, 1905.] 



SCIENCE. 



209 



' The Wateililies.' Publication No. 22. By 

 H. S. Conard. Quarto, 280 pages, 30 plates. 



' Bacteria in Relation to Plant Diseases.' By 

 Erwin l'\ Smith. Quarto. 



' Explorations in Turkestan.' By K. Pumpelly, 

 R. W. Pumpelly, VV. M. Davis and Ellsworth 

 Huntington. Quarto. 



' Collected Mathematical Works of G. W. Hill.' 

 It is estimated that these works will make four 

 quarto volumes. Volume I. is in type. 



' Catalogue of Double Stars.' By S. W. Burn- 

 ham. 350 pages in type. 



The following' are authorized : 



' Evolution. Racial and Habitudinal, controlled 

 by segregation.' By J. T. Gulick. 



' Chimera — a Memoir on the Embryology of 

 Primitive Fishes.' By Bashford Dean. Manu- 

 script not received, but plates are prepared. 



' Bibliographic Inde.x of North American Fungi.' 

 By W. G. Farlow. Will make five octavo volumes. 

 250 pages in type. 



'Results of Investigations of Poison of Serpents.' 

 By Drs. Simon Flexner and Hideyo Noguchi. 

 Manuscript not received. 



' Heredity of Coat Characters in Guinea Pigs 

 and Rabbits.' By W. E. Castle. 



' Mutants and Hybrids of the Oenotheras.' By 

 D. T. MacDougal. 



' Astronomical Manuscript.' By C. H. F. 

 Peters. 



'Memoir on Fossil Cycads.' By G. R. Wieland. 



' Description of the New Oxygen Apparatus 

 Accessory to the Calorimeter.' By W. 0. Atwater. 



' Rotation of the Sun as Determined from Mo- 

 tion of the Calcium Flocculi.' By G. E. Hale and 

 Philip Fox. 



LIST OF ACCOMPANYIXG PAPERS. 



' A Study of the Conditions for Solar Research 

 at Mount Wilson, California.' By George E. Hale. 



' The Southern Observatory Project.' By Lewis 

 Boss. 



' Methods for Promoting Research in the Exact 

 Sciences.' By Dr. Simon Nevvcomb, Professor 

 H. H. Turner, Karl Pearson, Lord Rayleigh, G. H. 

 Darwin, Arthur Schuster, Edward C. Pickering. 



' Fundamental Problems of Geology.' By T. C. 

 Chamberlin. 



' Plans for Obtaining Subterranean Tempera- 

 tures.' By G. K. Gilbert. 



' Proposed Magnetic Survey of the North Pacific 

 Ocean.' By L. A. Bauer and G. W. Littlehales, 

 Capt. E.W. Creak, Superintendent O. H. Tittmann. 



' Geological Research in Eastern Asia.' By 

 Bailey Willis. 



MATHEMATICAL PROGRESS IN AMERICA.* 



In the remarks that follow I shall limit 

 myself to a brief consideration of progress 

 in pure mathematics. This I may do the 

 more appropriately inasmuch as one of my 

 predecessors, Professor R. S. Woodward, 

 at the annual meeting of 1899 gave an 

 account of the advances made in applied 

 mathematics during the nineteenth century. 

 In his address, which was published in the 

 Bulletin of the American Mathematical So- 

 ciety, for January, 1900, is included a 

 description of the more important advances 

 made by Americans in the field of applied 

 mathematics. 



In tracing the development of pure 

 mathematics in America it seems con- 

 venient to recognize three periods. The 

 first period extends from colonial days up 

 to the establishment of the Johns Hopkins 

 University in 1876; the second period ex- 

 tends from the establishment of the Johns 

 Hopkins University up to 1891, when the 

 New York jMathematical Society took on a 

 national character and began the publica- 

 tion of its Bulletin; the third period ex- 

 tends from 1891 up to the present time. 



The most valuable source from which 

 the general reader may secure information 

 in regard to the first period mentioned 

 above is a work entitled 'The Teaching and 

 History of IMathematics in the United 

 States.' This work, written by Professor 

 Florian Cajori, was published in 1890 by 

 the United States Bureau of Education. f 



Before the founding of the Johns Hop- 

 kins University there was almost no at- 

 tempt made to prosecute or even to stimu- 

 late in a systematic manner research in the 

 field of pure mathematics. Such mathe- 

 matical journals as were published were 

 scientifically of little importance and as a 



* Presidential address delivered at the annual 

 meeting of the American Mathematical Society, 

 December 29, 1904. 



t Circular of Information No. 3, 1890. 



