欧美理科经典力学教材的现代化(二)--传统教学内容的更新

UPDATED MATERIALS IN EUROPEAN AND AMERICAN CLASSICAL MECHANICS TEXTBOOKS FOR SCIENCE MAJORS 2:TRADITIONAL CONTENTS REVISED

本文是研究欧美理科经典力学教材内容更新系列论文的第2篇,阐述经典力学教学内容改革的动因,并通过3部教材最新版的分析研究传统教学内容的更新。在19世纪70年代,经典力学的代数结构、几何描述和混沌运动的研究受到广泛关注,经典力学重新成为蓬勃发展的学科。这使得经典力学教材内容有必要进行更新。教材内容更新的一种途径是修订时补充新的内容。3部广泛采用的经典力学教材的最新修订都引入了混沌动力学的内容。代数结构的内容只整合进入适用于高级力学课程的教材,而整体微分几何的应用还没有进入经典力学教材。

As the second paper of a series on the content update of European and American classic mechanics textbooks for science majors,this manuscript expounds the motivation to reform classical mechanics teaching contents and explores the update of traditional teaching contents via the analysis on the latest editions of 3 textbooks.In the 1970s,the advances in algebraic structures,geometric descriptions and chaotic motions of classical mechanics received extensive attentions.Classical mechanics became a flourishing discipline.Therefore it was necessary to update the content of classic mechanics textbooks.One way to update textbooks was to integrate new materials in revised versions.Actually chaotic dynamics was introduced into the latest revisions of the three reprinted and widely used classical mechanics textbooks.However,algebraic structures of classical mechanics has only integrated into a textbook for advanced mechanics courses,while global differential geometry has not yet been incorporated into classic mechanics textbooks.