January 19, 1900.] 



SCIENOE. 



67 



an appreciative audience of nearly eighty 

 persons, the members of the American Phys- 

 ical Society attending, by invitation, in a 

 body. During the reading of the address 

 and of Professor Pupin's paper, the chair 

 was occupied by President H. A. Eowland, 

 of the Physical Society. As predicted in 

 the report of the October meeting, the rela- 

 tions of these two societies are becoming 

 more and more intimate and cordial, a ten- 

 dency which cannot be too highly com- 

 mended. The results are mutually benefi- 

 cial. The attendance of members of the 

 Mathematical Society increased more than 

 seventy per cent, over last year, this So- 

 ciety furnishing nearly one-half of the total 

 attendance at the meeting of both bodies. 



At the annual election the following ofi&- 

 cers and members of the Council were 

 chosen : President, R. S. Woodward; First 

 Vice-President, E. H. Moore ; Second Vice- 

 President, T. S. Fiske ; Secretary, F. N. 

 Cole; Treasurer, W. S. Dennett; Librarian, 

 Pomeroy Laden ; Committee of Publication, 

 F. ISr. Cole, Alexander Ziwet, F. Morley ; 

 Members of the Council to serve for three 

 years, Simon N'ewcomb, Oscar Bolza, L. A. 

 Wait. Suitable resolutions were adopted 

 on the retirement of Professor Jacoby from 

 the ofiBce of Treasurer after a service dating 

 from the founding. of the Society. 



The Council announced the election of 

 the following persons to membership in the 

 Society : Professor William Beebe, Yale 

 University ; Dr. J. V. Collins, State Normal 

 School, Stevens Point, Wis.; Professor A. 

 E. Forsyth, Trinity College, Cambridge, 

 England ; Professor M. W. Haskell, Uni- 

 versity of California; Mr. C. A. Noble, 

 University of California ; Miss E. N. Mar- 

 tin, Ph.D., Ardmore, Pa.; Mr. E. B. Wilson, 

 Yale University ; Miss E. C Wood, New 

 Haven, Conn. Four applications for mem- 

 bership were reported. The total member- 

 ship of the Society is now 342, a gain of 27 

 during the year. About 110 papers were 



presented before the Society during the year 

 as against 83 in 1898. 



The first number of the Transactions is 

 now in press and will appear in January. 

 Later numbers will appear at intervals of 

 three months. 



The following papers' were presented at 

 the Annual Meeting : 



(1) De. G. a. Miller : ' Ou the groups which have 

 the same groups of isomorphisms.' 



(2) Professor Maxime BocHEB : ' On regular sin- 

 gular points of linear differential equations of 

 the second order whose coefficients are not nec- 

 essarily analytic' 



(3) Dr. Virgil Snyder : 'On cyclical quartic sur- 

 faces in space of n dimensions.' 



(4) Dr. Virgil Snyder : ' On the geometry of the 

 circle.' 



(5) Mr. W. B. Fite : ' A proof that the commu- 

 tator subgroup of a group may contain operators 

 which are not commutators.' 



(6) J. E. Campbell, M.A.: 'On the types of 

 linear partial differential equations of the sec- 

 ond order (in three independent variables) 

 which are unaltered by the transformations of a 

 continuous group.' 



(7> Peofessok L. E. Dickson : 'Proof of the ex- 

 istence of the Galois field of order jj' for every 

 integer r and prime number p.' 



(8) Dr. E. M. Blake: 'On plane movements 

 whose point loci are of order not greater than 

 four. ' 



(9) Professor E. S.Woodward: Presidential Ad- 

 dress : ' The century's progress in applied 

 mathematics.' ' 



(10) Professor M. I. Pupin : ' The propagation of 

 electrical waves over non-uniform conductors.' 



(11) Professor Henry Taber : 'The singular 

 transformation of a group generated by infini- 

 tesimal transformations.' 



(12) Dr. J. I. Hutchinson : 'On certain relations 

 among the theta constants.' 



(13) Professor E. O. Lovett : 'Singular solutions 

 of Monge equations.' F.'N. CoLE, 



Columbia University. Secretary. 



SCIENTIFIC BOOKS. 

 Everyday Butterflies. A Group of Biographies. 

 By Samuel Hubbard Scudder. Boston and 

 New York, Houghton, Mifflin & Company. 

 1899. 12mo. Pp. viii + 386. 9 plates, 23 

 figures ; 48 figures in text. Price, $2.00. 



