346 SCIENCE PROGRESS 



the introduction of Hindu mathematics into the region of 

 Mesopotamia. 



C. J. Keyser {Bull. Amer. Math. Soc. 191 8, 24, 321-7) 

 maintains that Lucretius had a correct — judged by modern 

 standards — concept of infinity. 



H. S. Carslaw {Phil. Mag. 191 6, 32, 476-86) writes on the 

 development of Napier's theory of logarithms (cf. Science 

 Progress, 191 8, 12, 362). 



Hk. de Vries {Nieuw Tijdskr. 1916-17, 4, 145-67) discusses 

 the Geometrie of Descartes and the Isagoge of Fermat. 



G. Loria {Scientia, 1918, 24, 311-12), in a review of J. M. 

 Child's book on The Geometrical Lectures of Isaac Barron 

 (Chicago and London, 191 6), remarks that a complete edition 

 of the manuscripts of Leibniz formed part of the programme of 

 the international Association of Academies, which worked until 

 August 19 14, and that a new edition of the works of Newton 

 is urgently required, — since Horsley's edition is rare and also 

 since much indispensable and unpublished material exists at 

 Cambridge. 



The first part of the tenth volume of Gauss's Werke, con- 

 taining his diary from 1796 to 1814, was published at Leipzig 

 in 191 7 {Rev. Sem. 191 8, 26 [1], 49). 



G. Loria {Atti delta Soc. Ligustica di Sci. Nat. e Geogr. 191 8, 

 28, N. 3) gives a very detailed study of Guglielmo Libri as a 

 historian of science. 



A good account and discussion of the proofs of Pierre 

 Laurent Wantzel (1814-48) of the impossibility of solving the 

 general quintic by radicals, of avoiding the " irreducible case " 

 in cubics, and of duplicating the cube or trisecting the angle 

 by ruler and compass, are given by F. Cajori {Bull. Amer. 

 Math. Soc. 191 8, 24, 339-47)- 



An account of the fourth and last volume of Hermite's 

 CEuvres, published at Paris in 191 7, is given by J. Pierpont 

 {ibid. 481-4). 



Notices of the life and work of Dedekind are given by E. 

 Landau {Gott. Nachr. 191 7, 50-70), and of Darbouxby D. Hilbert 

 {ibid. 71-5) and E. Picard {Ann. de I'ec. norm. 34, 81-93). 



Principles and Theory of Aggregates. — C. J. Keyser {Bull. 

 Amer. Math. Soc. 191 8, 24, 391-4) concludes that any postulate- 

 system admits of any given infinite number of interpretations. 



T. Broden {Nyt Tidsskr. for Mat. 191 7, 28, 21-32) reproduces 



