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历史上的数学学派 ——理论初析 http://www.dic123.com/A/8/80/805_211841.html 自然科学史研究京207~218B2科学技术哲学 高嵘/李文林1998 数学学派是数学史研究中的一个重要方面,学派研究为研究数学史提供了一种新的线索 和角度。该文系统探讨了数学学派的起源、定义、类型,它的形成条件及特征、功能与 影响等,并对数学学派的衰落原因进行了分析,为数学学派提供了一个系统的理论概括 。数学学派/起源/定义/类型/形成/功能/影响 schools of mathematics origin definition types formation function influence REFLECTIONS ON SCHOOLS OF MATHEMATICS Gao Rong Li Wenlin(Institute of Mathematics,CAS,Beijing 100080) Schools of mathematics,an important aspect in the study of history ofmathematics,furnish new leads and viewpoints to the study.This paperprovides a systematic argument of the general theory about schools ofmathematics.The authors elaborate on the definition and types,origin, formation,characters and functions of schools of mathematics.The causesfor the decline of mathematical schools are also analyzed. 高嵘 李文林 中国科学院数学研究所,北京,100080
Courant 1943 年就发表了变分有限元方法,那时候恐怕还没冯什么事。 R Courant, Variational method for the solution of problems equilibrium and vibrations, Bulletin of the AMS, 49, 1-23, 1943, 在学术上方向没有定论,对错不分的时候才需要拉班结派,比如历史上的波粒二相性。 现在搞这个很无聊。
【在 l*******G 的大作中提到】 : Courant 1943 年就发表了变分有限元方法,那时候恐怕还没冯什么事。 : R Courant, Variational method for the solution of problems equilibrium and : vibrations, Bulletin of the AMS, 49, 1-23, 1943, : 在学术上方向没有定论,对错不分的时候才需要拉班结派,比如历史上的波粒二相性。 : 现在搞这个很无聊。
【在 l*******G 的大作中提到】 : Courant 1943 年就发表了变分有限元方法,那时候恐怕还没冯什么事。 : R Courant, Variational method for the solution of problems equilibrium and : vibrations, Bulletin of the AMS, 49, 1-23, 1943, : 在学术上方向没有定论,对错不分的时候才需要拉班结派,比如历史上的波粒二相性。 : 现在搞这个很无聊。
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下面这个评价,也是很高了吧: P.96 Numerical analysts found it natural to adopt the ideas of computational dynamics, since they chimed with standard numerical theory. This was emphatically not the case with GNI(Geometric Numerical Integration). With the single honorable exception of Feng Kang and his group at the Chinese Academy of Sciences in Beijing, numerical analysts were too besotted with accuracy as the main organizing principle of computation to realize that qualitative and geometric attributes are important too. And important they were, since researchers in quantum chemistry, celestial mechanics and reactor physics had been using rudimentary GNI methods for decades, compelled by the nature of their differential equations. Organized, concerted research into GNI commenced only in the late 1980s although, in fairness, it soon became the mainstay of contemporary ODE research (GNI methods for PDEs are at a more tentative stage). A First Course in the Numerical Analysis of Differential Equations 2nd Edition (Cambridge Texts in Applied Mathematics) (2009) by Arieh Iserles Department of applied mathematics and theoretical physics University of Cambridge