探究微积分——让知识成为智慧  

An Exploration of Calculus——Transforming knowledge into Wisdom

作　　者：韩云瑞[1,2] 唐烁[3] 周友洲 张莉[3] HAN Yunrui;TANG Shuo;ZHOU Youzhou;ZHANG Li(School of Mathematics and Physics,Xi’an Jiaotong-Liverpool University,Suzhou Jiangsu 215123,China;Department of Mathematical Sciences,Tsinghua University,Beijing 100084,China;School of Mathematics,Hefei University of Technology,Hefei 230601,China)

机构地区：[1]西交利物浦大学数学物理学院,江苏苏州215123 [2]清华大学数学科学系,北京100084 [3]合肥工业大学数学学院,合肥230601

出　　处：《大学数学》2024年第5期1-7,共7页College Mathematics

基　　金：国家自然科学基金青年项目(11701570)。

摘　　要：沿着历史脉络,准确把握微积分概念,领悟微积分蕴含的丰富智慧.数学智慧可以充实读者的精神世界,促进学生的心智成长,对他们的思维方式和世界观产生积极影响.在培养逻辑思维能力的同时,重视直觉思维能力,促进创新能力的培养.We attempt to comprehend the rich wisdoms behind the calculus by accurately digging out the meaning and sorting out the history of each concept in calculus.The wisdom of mathematics can enrich the spiritual mind of our students,promoting the development of students’mindset so that they can eventually become critical in their thinking and worldview.Most importantly,we should focus on training our intuition ability while fostering logical thinking ability,because it will ultimately enhance our creativity.

关 键 词：无穷小 极限 微分 定积分 不定积分 微元法 拉格朗日乘子 直觉思维 

分 类 号：O13[理学—数学]