SCIENCE 



A WEEKLY JOURNAL DEVOTED TO THE ADVANCEMENT OF SCIENCE, PUBLISHING THE 



OFFICIAL NOTICES AND PROCEEDINGS OF THE AMERICAN ASSOCIATION 



FOR THE ADVANCEMENT OF SCIENCE. 



Friday, December 23, 1904. 



CONTENTS: 

 On the Development of Mathematical Anal- 

 ysis and its Relation to Some Other 

 Sciences : M. Emile Picaed 857 



Present Problems of Meteorology: De. A. 

 Lawrence Rotch 872 



Scientific Books: — 



The Lymphatics: Peofessoe Floeence E. 

 Sabin. The Teaching of Biology in the 

 Secondary Schools: Peofessoe W. F. 

 Ganong. Outlines of Physiological Chem- 

 istry : Professor Yandell Henderson .... 878 



Scientific Journals and Articles 882 



Societies and Academies: — 



The Convocation Week Meetings of Scien- 

 tific Societies. The Ohio Academy of Sci- 

 ence: Professor F. L. Landacre. The 

 Science Club of NortMvestern University: 

 Floyd Field 883 



Discussion and Correspondence: — 



Convocation Week: G. K. Gilbert. The 

 Term ' Geology ' : Dr. S. F. Emmons. The 

 Kelep and the Cotton Plant: E. Dwight 

 Sanderson. Anent Gizzards: W. K. Greg- 

 ORT. Note on Three Very Large Beaked 

 Whales from the North Pacific: F. W. 

 True. The Vascular Bundle in am Apple: 

 Peofessoe W. J. Beal. A Geographic 

 Dictionary: Dr. F. A. Bather 85 



Special Articles: — 



Aster Formation in Enucleated Egg-frag- 

 ments of Cerebratulus : N. Yatsu. The 

 Earliest Notice of American Proboseidea : 

 C. E. E 889 



Current Notes on Meteorology : — 



Temperature in Cyclones and Anti-cyclones ; 

 Cyclonic Distribution of Rainfall; More 

 Light oni Antarctic Meteorology ; The 

 Physics of the Free Air; Note: Peofessor 

 • R. DeC. Ward 890 



The Isaac Neicton Studentships at Cambridge 891 



The Royal Society 892 



Scientific Notes and News 894 



University and Educational News 896 



MSS. Intended for puhlicatiou and books, etc.. intended 

 for review should be sent to tbe Editor of Science, Garri- 

 son-nn-Hudsou, N. Y. 



ON THE DEVELOPMENT OF MATHEMAT. 



ICAL ANALYSIS AND ITS RELATIONS 



TO SOME OTHER SCIENCES* 



It is one of the objects of a congress 

 such as this Avhich now brings us together, 

 to show the bonds between the diverse parts 

 of science taken in its most extended ac- 

 ceptation. So the organizers of this meet- 

 ing have insisted that the relations between 

 different sections should be put in evi- 

 dence. 



To undertake a study of this sort, some- 

 what indeterminate in character, it is 

 necessary to forget that all is in all; in 

 what concerns algebra and analysis, a 

 Pythagorean would be dismayed at the 

 extent of his task, remembering the cele- 

 brated formula of the school: 'Things are 

 numbers.' From this point of view my 

 subject would be inexhaustible. 



But I, for the best of reasons, will make 

 no such pretensions. 



In casting merely a glance over the de- 

 velopment of our science through the ages, 

 and particularly in the last century, I hope 

 to be able to characterize sufBciently the 

 role of mathematical analysis in its rela- 

 tions to certain other sciences. 



* Address at the International Congress of Arts 

 and Science, St. Louis, September, 1904. Trans- 

 lated by George Bruce Halsted. 



