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【书籍】Calculus Basic Concepts for High Schools

RWYQ阿伟2025-11-18书籍290

简介

书名翻译：《高中微积分基础概念》

My first acquaintance with calculus (or mathematical analysis) dates back to nearly a quarter of a century This happened in the Moscow Engineering Physics Insti-tute during splendid lectures given at that time by Professor D.A. va-silkov. Even now I remember that feeling of delight and almost hap-piness. In the discussions with my classmates I rather heatedly insisted on a simile of higher mathematics to literature, which at that time was to me the most admired subject. Sure enough, these com parisons of mine lacked in objectivity. Nevertheless, my arguments were to a certain extent justifed. The presence of an inner logic, coherence dynamics, as well as the use of the most precise words to express a way of thinking, these were the characteristics of the prominent pieces of literature. They were present, in a different form of course, in higher mathematics as well. I remem ber that all of a sudden elemen-tary mathematics which until that moment had seemed to me very dull and stagnant, turned to be brimming with life and inner motion governed by an impeccable logic.

我对微积分（或数学分析）的初次接触可以追溯到近四分之一世纪前。那是在莫斯科工程物理学院，当时达维德·亚历山德罗维奇·瓦西里科夫教授正在讲授精彩的课程。直到现在我仍记得那种喜悦和近乎幸福的感觉。在与同学的讨论中，我相当热烈地坚持将高等数学比作文学，当时文学对我来说是最令人钦佩的学科。当然，我的这些比较缺乏客观性。然而，我的论点在一定程度上是合理的。内在逻辑、连贯性、动态性，以及使用最精确的词语来表达思维方式，这些都是杰出文学作品的特点。当然，这些特点以不同的形式也存在于高等数学中。我记得，突然间，直到那时在我看来非常枯燥和停滞的基础数学，变得充满活力和受完美逻辑支配的内在运动。