| 高等物理专业学生现代数学教育研究 |
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| 引用本文： | 郭涛,石志强.高等物理专业学生现代数学教育研究[J].新乡学院学报(自然科学版),2011(3):268-270. |
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| 作者姓名： | 郭涛 石志强 |
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| 作者单位： | 新乡学院物理系 |
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| 基金项目： | 河南省2010年基础与前沿技术研究项目(102300410230) |
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| 摘 要： | 讨论了物理和现代数学的紧密关系,分析了目前高等物理教育的现代数学教育现状,提出了在高等物理教育中更新现代数学教育内容的建议。认为,在本科阶段除了开设高等数学和数学物理方程课程外,还应开设微分几何和抽象代数课程,并将高等代数、点集拓扑和泛函分析作为选修课;在硕士阶段,除了开设群论课程外,还要开设微分流行和黎曼几何课程;在博士阶段,学生应该学习复几何和李代数。
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| 关 键 词： | 高等物理教育 现代数学教育 高等数学内容 物理专业大学生 物理专业研究生 |
The Research of Modern Mathematics Teaching for Student Majored in the Higher Physics |
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| Authors: | GUO Tao SHI Zhi-qiang |
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| Institution: | (Department of Physics,Xinxiang University,Xinxiang 453003,China) |
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| Abstract: | This article discusses the close relation of theory physics and modern mathematics,analyzes the present situation of the insufficiency of modern mathematics teaching in higher physical education,then gives some suggestions to strengthen modern mathematics teaching in higher physical education,which consider： Differential Geometry and Abstract Algebra besides Advanced Mathematics and Mathematical Physics should be offered for undergraduate student,and Advanced Algebra,Point Set Topology and Functional Analysis should be offered as selective course;Differential Manifold and Riemannian Geometry besides Group Theory should be offered for master student;Complex Geometry and Lie Algebra should be offered for doctor student. |
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| Keywords: | higher physical education modern mathematics teaching content of advanced mathematics physics undergraduate student physics graduate student |
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