Septembee 6, 1901.] 



SCIENCE. 



375 



lished in Strassburg under the editorship of 

 Professor F. Hofmeister. It is to be published 

 by F. Vieweg & Son, of Braunschweig. Twelve 

 numbers will form a volume, to cost fifteen 

 marks. 



ACADEMIES AND SOCIETIES. 



THE SUMMER MEETING AND COLLOQUIUM OF 



THE AMERICAN MATHEMATICAL SOCIETY. 



The Eighth Summer Meeting of the Ameri- 

 can Mathematical Society was held at Cornell 

 University, Ithaca, N, Y., on Monday and 

 Tuesday, August 19-20, 1901. The Third Col- 

 loquium of the Society opened on Wednesday, 

 August 20, and extended through the re- 

 mainder of the week. 



About sixty persons, including forty-five 

 members of the Society, were in attendance 

 during the four sessions of the summer meet- 

 ing. The president of the society. Professor 

 Eliakim Hastings Moore, occupied the chair. 

 An address of welcome by Professor L. A. Wait, 

 representing the University, was the forerunner 

 of a most generous hospitality extended by the 

 University and its individual oflScers. Formal 

 resolutions adopted by the Society at the close 

 of the meeting express in part its sense of ap- 

 preciation of this cordial reception. 



At the meeting of the council, Dr. E. R. 

 Hedrick, of Yale University, and Mr. S. W. 

 Reaves, of Michigan Military Academy, were 

 elected to membership in the Society. Twelve 

 applications for membership were received. A 

 committee was appointed to prepare a list of 

 nominations of officers for the coming year. 



The entire time of the four sessions barely 

 sufficed for the presentation and brief discussion 

 of the long list of papers. Owing to various 

 circumstances, only two days could be devoted 

 to the meeting, while three would not have been 

 excessive. At future summer meetings more 

 time must be provided. Probably the annual 

 meeting in December will also be extended to 

 cover two days. 



The following papers were presented : 



1. Professor Maxime BocHER : ' On certain pairs 

 of transcendental functions whose roots separate each 

 other.' 



2. Dr. J. I. Hutchinson : 'On a class of auto- 

 morphic functions. ' 



3. Professor A. Peingsheibi : ' Ueber den Gour- 

 sat'schen Beweis des Cauchy'scheu Integralsatzes.' 



4. Professor A. Pringsheim : ' Ueber die An- 

 wendung der Cauchy'schen Multiplicationsregel auf 

 bedingt convergente oder divergente Reihen.' 



5. Mr. W. B. Fobd : ' On the expression of Bessel 

 functions in terms of the trigonometric functions.' 



6. Professor E. H. Moore : ' On the theory of 

 improper definite integrals.' 



7. Professor Oskar Bolza : ' New proof of a 

 theorem of Osgood in the calculus of variations.' 



8. Dr. G. a. Bliss : ' The problem of the calculus 

 of variations when the end point is variable.' 



9. Dr. J. C. Fields : ' On certain relations existing 

 between the branch points and the double points of 

 an algebraic curve. ' 



10. Dr. J. C. Fields: 'The Riemann-Roch theorem, 

 and the independence of the conditions of adjointness 

 in the case of a curve for which the tangents at the 

 multiple points are distinct from one another.' 



11. Professor E. B. Van Vleck : 'A proof of 

 the convergence of the Gaussian continued fraction 



F{a, 13 + 1,7+1, x)' 

 F{a,l3,j,X) 



12. Professor T. E. McKinney : 'Some new 

 kinds of continued fractions. ' 



13. Professor E. D. Roe: 'Note on symmetric 

 functions.' 



14. Db. G. A. Miller : ' Groups defined by the 

 orders of two generators and the order of their product. ' 



15. Dr. H. F. Stecker : ' On the determination of 

 surfaces capable of conformal representation upon the 

 plane so that the geodetic lines shall be represented 

 by a prescribed system of plane curves.' 



16. Mr. C. N. Haskins : ' On the invariants of 

 quadratic differential forms.' 



17. Dr. Edward Kasner : ' The cogredient and 

 digredient theories of double binary'f orms. ' 



18. Professor Maxime Bccher : 'On Wrons- 

 kians of functions of a real variable. ' 



19. Mr. F. G. Radelfingee : ' The analytical 

 representation of a multiform function in the domain 

 of an isolated singular point. ' 



20. Dr. Virgil Snyder : ' On the forms of unicur- 

 sal sextic scrolls with a multiple linear directrix and 

 one double line.' 



21. Dr. H. F. Stecker: ' Concerning the osculat- 

 ing plane of jn-fold space filling curves of the Hilbert- 

 Moore type. ' 



22. De. H. F. Steckee : 'On non-euclidean prop- 

 erties of plane cubics and of their first and second 

 polars. ' 



23. Peofessou L. E. Dickson : ' Theory of linear 

 groups in an arbitrary field.' 



