334 



SCIENCE 



[N. S. Vol. XXXIII. No. 844 



SCIENTIFIO JOURNALS AND ARTICLES 

 The opening (January) number of volume 

 12 of the Transactions of the American 

 Mathematical Society contains the following 

 papers : 



L. E. Dickson : " An invariantive investigation 

 Of irreducible binary modular forms." 



W. H. Bates : " An application of symbolic 

 methods to the treatment of mean curvatures in 

 hyperspace." 



H. F. Blichfeldt : " On the order of linear homo- 

 geneous groups (fourth paper)." 



J. L. Coolidge: "The metrical aspect of the 

 line-sphere transformation." 



Edward Kasuer : " Natural systems of trajec- 

 tories generating families of Lamg." 



L. E. Dickson: "A fundamental system of in- 

 variants of the general modular linear group with 

 a solution of the form problem." 



R. D. Carmiehael : " Linear difference equations 

 and their analytic solutions." 



The February number (volume 17, number 

 ■S) of the Bulletin of the American Mathe- 

 matical Society contains: Report of the fourth 

 regular meeting of the Southwestern Section 

 of the society, by O. D. Kellogg; Eeport on 

 " University courses in mathematics and the 

 master's degree," by the American sub-com- 

 mittee of the International Commission on 

 the Teaching of Mathematics; Review of 

 Doehlemann's Geometrische Transforma- 

 tionen, zweiter Teil, by Virgil Snyder ; Shorter 

 Notices : Sylvester's Collected Papers, Vol. 

 III., and Bachmann's Niedere Zahlentheorie, 

 zweiter Teil, by L. E. Dickson; Burali-Forti 

 and Mareolongo's Elements de Calcul vec- 

 toriel, by E. B. Wilson; Lebon's Gaston 

 Darboux, by J. W. Young; Killing and Hove- 

 stadt's Handbuch des mathematischen Unter- 

 richt's, by D. D. Leib; Amodeo's Analisi 

 algebraica elementare, by C. L. E. Moore; 

 Rietz and Crathorne's College Algebra, by J. 

 V. McKelvey; Planck's Prinzip der Erhaltung 

 der Energie, second edition, by E. B. Wilson. 

 " Notes " ; " New Publications." 



The March number of the Bulletin con- 

 tains: Report of the seventeenth annual 

 meeting of the society, by F. N. Cole; Report 

 of the winter meeting of the Chicago Section, 

 foy H. E. Slaught ; Report on " Preparation 



for research and the doctor's degree in mathe- 

 matics," by the sub-committee of the Interna- 

 tional Commission on the Teaching of Mathe- 

 matics ; Shorter Notices : Frankland's Theories 

 of Parallelism, by D. E. Smith; Vogt's Syn- 

 thetische Theorie der Cliffordsehen Parallelen, 

 by E. B. Cowley; Bruns's Gruppenschema fiir 

 zufallige Ereignisse, by H. L. Rietz; W. W. 

 Johnson's Elementary Treatise on the Dif- 

 ferential Calculus, by E. W. Ponzer; Becker 

 and Van Orstrand's Hyperbolic Functions, 

 Fabry's Problemes et Exercices de Mathe- 

 matiques generales, and Couturat's Inter- 

 nacione matematikal Lexiko en Ido, by J. B. 

 Shaw; Richarz's Anfangsgriinde der Max- 

 wellschen Theorie, by E. B. Wilson. " Notes "; 

 " New Publications." 



THE FIFTH ANNUAL REPORT OF THE 



PRESIDENT OF THE CARNEGIE 



FOUNDATION 



President Peitchett's annual report gives 

 a full and clear statement of the business of 

 the Carnegie Foundation for the Advance- 

 ment of Teaching during the year ending No- 

 vember 30, 1910, and includes an essay on the 

 relations of colleges and secondary schools. 



The University of California, Indiana and 

 Purdue Universities, and Wesleyan University 

 have been added to the accepted list of the 

 foundation. The two state universities — for 

 Indiana and Purdue form together essentially 

 one state university — obviously meet standards 

 which allow the admission of colleges such as 

 Beloit, Carleton, Coe, Dickinson, Drake, 

 Drury and Knox. The tax-supported univer- 

 sities previously admitted are Michigan, Wis- 

 consin, Minnesota, Missouri and Toronto. It 

 seems to the present writer most unfortunate 

 that the executive committee of the founda- 

 tion should prescribe to the state universities 

 what they must do in order to receive pen- 

 sions. Illinois has been told that it must 

 break the agreement which it made with the 

 professors of the medical school in Chicago; 

 Ohio that it must reconstruct its educational 

 policy, and the like. It is to be hoped that 

 those in control of the state universities will 

 resent such dictation. Indeed one can not 

 altogether dismiss the suspicion that the 



