OCTOBEK 5, 1906.] 



SCIENCE. 



421 



Short, Chicago, 111.; Betty Trier, Mount 

 Holyoke College; J. W. Withers, St. Louis 

 Teachers College. Thirteen applications 

 for membership were received. The total 

 membership of the society is now about 

 540. 



A committee consisting of Professors 

 Bocher, Van Vleck and Townsend was ap- 

 pointed to report to the council at the Oc- 

 tober meeting a list of nominations of 

 officers to be elected at the annual meeting 

 in December. Steps were also taken 

 toward amending the constitution to in- 

 clude the editorial committee of the Trans- 

 actions in the membership of the council, 

 and toward increasing the sale of the 

 Chicago Mathematical Papers and the Bos- 

 ton Colloquium Lectures published by the 

 society. 



One of the most valuable of the society's 

 institutions, and one as regards which it 

 stands alone among similar organizations, 

 is the colloquium, or course of lectures on 

 recent important advances in the science 

 given at intervals of two or three years by 

 specialists in the fields covered. The fifth 

 of the series opened on "Wednesday morn- 

 ing and extended to Saturday noon. Three 

 courses were given, as follows : By Pro- 

 fessor E. H. Moore, five lectures 'On the 

 theory of bilinear functional operations'; 

 by Professor E. J. Wilczynski, four lec- 

 tures on 'Projective differential geometry'; 

 by Professor Max Mason, four lectures on 

 'Selected topics in the theory of boundary 

 value problems of differential equations,' 

 Forty-three persons attended these courses. 



On Tuesday afternoon the visitors were 

 conducted through the grounds and build- 

 ings of the university. Thursday after- 

 noon and evening were devoted to an ex- 

 cursion to the shore of Long Island Sound. 

 Throughout the meeting, the G-raduates 

 Club Avas the center for large and small 

 gatherings. The hospitality of the univer- 

 sity and its officers was gratefully acknowl- 



edged by appropriate resolutions and will 

 long be remembered by all who were pres- 

 ent at the meeting. 



The following papers were read at the 

 summer meeting. 



A. E. Schweitzer : ' Systems of axioms for pro- 

 jective geometry.' 



A. R. Schweitzer : ' Concerning abstract geo- 

 metrical relations.' 



0. D. Kellogg : ' The behavior on the boundary 

 of harmonic functions of a region.' 



F. R. Sharpe : ' The motion of a viscous gas.' 

 R. D. Caemichael: 'Multiply perfect numbers 



of three different primes.' 



LuDwiG Stickelberger : ' Zur Theorie der 

 vollstandig reduciblen Gruppen die zu einer 

 Gruppe linearer homogener Substitionen gehoren.' 



W. B. Fite : ' Irreducible linear homogeneous 

 groups whose orders are powers of a prime.' 



Arthur Ranum : ' The group of classes of con- 

 gruent matrices and its application to the group 

 of isomorphisms of any abelian group.' 



R. G. D. Richardson : ' On the reduction of 

 multiple integrals.' 



G. D. BiRKHOFF : ' On a certain class of sets 

 of normed orthogonal functions.' 



W. B. Carver : ' Associated configurations of 

 the Cayley- Veronese class.' 



L. E. Dickson : ' On commutative linear alge- 

 bras in which division is always uniquely possible.' 



L. E. Dickson : ' Uniform definitions of the ab- 

 stract forms of the various known systems of 

 linear groups.' 



L. E. Dickson: 'Criteria for the irreducibility 

 of functions in a finite field.' 



L. E. Dickson : ' On the theory of equations in 

 a modular field.' 



James McMahon : ' The differential geometry 

 of the general vector field.' 



W. A. Manning: 'A note on transitive groups.' 



C. H. SiSAM : ' On systems of conies lying on 

 surfaces of the third, fourth and fifth orders.' 



Virgil Snyder : ' Plane quintic curves which 

 possess a group of linear transformations.' 



Max Mason : ' The expansion of an arbitrary 

 function in terms of normal functions.' 



Max Mason : ' The boundary value problems 

 of differential equations of hyperbolic type.' 



Edward Kasner : ' The inverse problem of 

 dynamics.' 



Edward Kasner ; ' The geometry of dynamical 

 trajectories.' 



J. W. Young : ' General theory of approxima- 



