Abstract: Mathematical concepts and results have often been given a long history, stretching far back in time. Yet recent work in the history of mathematics has tended to focus on local topics, over a short term-scale, and on the study of ephemeral configurations of mathematicians, theorems or practices. The first part of the paper explains why this change has taken place: a renewed interest in the connections between mathematics and society, an increased attention to the variety of components and aspects of mathematical work, and a critical outlook on historiography itself. The problems of a long-term history are illustrated and tested using a number of episodes in the nineteenth-century history of Hermitian forms, and finally, some open questions are proposed.
https://eta.impa.br/dl/PL005.pdf
这篇关于数学史的报告着重介绍了Heimite形式这一概念从19世纪到20世纪初的演化过程。作者通过分析Heimite形式出现的几个不同领域:二次型的算术,自守形式,不变量理论和微分几何来阐述这段重要的数学史。
相关附件
12-PL005 Goldstein