American Mathematics 1890-1913: Catching up to Europe

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The Mathematical Association of America, 29 de juny 2017 - 244 pàgines
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 At the turn of the twentieth century, mathematical scholarship in the United States underwent a stunning transformation. In 1890 no American professor was producing mathematical research worthy of international attention. Graduate students were then advised to pursue their studies abroad. By the start of World War I the standing of American mathematics had radically changed. George David Birkhoff, Leonard Dickson, and others were turning out cutting edge investigations that attracted notice in the intellectual centers of Europe. Harvard, Chicago, and Princeton maintained graduate programs comparable to those overseas. This book explores the people, timing, and factors behind this rapid advance.

Through the mid-nineteenth century most American colleges followed a classical curriculum that, in mathematics, rarely reached beyond calculus. With no doctoral programs of any sort in the United States until 1860, mathematical scholarship lagged far behind that in Europe. After the Civil War, visionary presidents at Harvard and Johns Hopkins broadened and deepened the opportunities for study. The breakthrough for mathematics began in 1890 with the hiring, in consecutive years, of William F. Osgood and Maxime Bôcher at Harvard and E. H. Moore at Chicago. Each of these young men had studied in Germany where they acquired vital mathematical knowledge and taste. Over the next few years Osgood, Bôcher, and Moore established their own research programs and introduced new graduate courses. Working with other like-minded individuals through the nascent American Mathematical Society, the infrastructure of meetings and journals were created. In the early twentieth century Princeton dramatically upgraded its faculty to give the United States the stability of a third mathematics center. The publication by Birkhoff, in 1913, of the solution to a famous conjecture served notice that American mathematics had earned consideration with the European powers of Germany, France, Italy, England, and Russia.

 

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Continguts

An American colony in Göttingen
1
19th century American notions of scholarship
21
Presidents Eliot and Gilman
51
Harvard and Chicago Hire Osgood Bôcher and Moore
89
The American Mathematical Society and the Transactions
115
The Princeton preceptors
143
The verge of parity with European nations
173
Sources and Acknowledgements
199
Curriculum for 18491850 from the Yale College catalog 18491850
201
Graduate mathematics courses for 19051906 from the Harvard Presidents Report for 190506
205
Graduate mathematics courses for 19051906 from the University of Chicago Annual Register of 19041905
207
Bibliography
211
Index
223
Copyright

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