SCIENCE PROGRESS 



RECENT ADVANCES IN SCIENCE 



MATHEMATICS. By F. Puryer White, M.A., St. John's College, 

 Cambridge. 



Max Noether, who died in Erlangen on December 13, 1921, 

 is well known for his work on algebraic geometry and the theory 

 of functions and his report, in collaboration with Brill, on 

 the development of that theory, published by the Deutsche 

 Mathematiker Vereinigung in 1894. Accounts of his work are 

 given by the Editors of the Mathematische Annalen (85, 1922), 

 by G. Castelnuovo {Rend. Lincei, 31, 1922, 404-7), and by 

 L. Berzolari {Rend. Lombardo, 54, 192 1, 600-3). 



Notices of the work of Camille Jordan (d. January 21, 

 1922) appear in Nature (109, 1922, 349), and in Rend. Lincei 

 (31, 1922, 398-404). 



George Ballard Mathews, F.R.S. (d. March 19, 1922) is 

 appreciated in Nature (109, 1922, 450), to which he contributed 

 many striking reviews ; an article of his, on " Mathematics 

 and Public Opinion," appears in a later number of the same 

 journal (p. 520). 



Sir Alfred Bray Kempe, F.R.S. , is chiefly known as a 

 mathematician in connection with linkages ; an obituary 

 notice appears in Nature (109, 1922, 588). 



There is a further notice of C. T. Reye by C. Segre {Rend. 

 Lincei, 31, 1922, 269-72). 



History. — H. Lebesgue, in his inaugural lecture at the 

 College de France {Revue scientifique, 60, 1922, 249-62), gives 

 an account of four of his predecessors in the chair, Humbert, 

 Jordan, Roberval and Ramus. 



In the fourteenth report on the publication of the Collected 

 Works of Gauss, F. Klein {Math. Ann., 85, 1922, 326-8) calls 

 attention to the discovery of letters at Copenhagen and of a 

 MS. at Rome. 



Logic, etc. — D. Hilbert {Hamburg Seminar, 1, 1922, iS7-77)> 

 in an article, " Neubegriindung der Mathematik," combats 

 the views of Weyl and Brouwer. 



A. Schoenflies {Math. Ami., 85, 1922, 60-4) continues his 

 work on the axioms of the theory of aggregates. 



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