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我是一个才从大学毕业不久的学生,最近利用了业余时间,对过去几年的学习情况作了一些回忆,觉得在閱讀和解題方面的某些經驗对在学的同学来說,或許有些启发,因此愿意把它写在下面,提供同学們参考。一、閱讀方面: 許多老师和作者的話給了我們很大的启发。苏联数学家А.Я.辛欣的話是深刻的。在他的数学分析簡明教程的第一版序里有这么一段話:“为了使这本教程能尽可能地簡明,我的方法完全在于选取最精簡的材料,而不在敘述上压縮辞句。課本里的推理都詳細地写了出来,以減少讀者的困难。特別是我不吝惜說一些話,来帮助讀者时时刻刻都能清楚地了解到他所遵循道路的規律。至于不同的概念、定理、問題以及整个理論之間的种种关系;它們的作用方法和它們在应用科学与技术上的应用;还有数学分析的另外一些有思想原則性的特色;这一切,在很多場合,都比一般篇幅更多
I was a student who graduated from college only recently. I recently spent my spare time and made some memories of the learning situation in the past few years. I feel that some of my experience in reading and solving problems may be somewhat inspiration for my classmates. Therefore, I would like to write it below and provide my students with reference. First, reading: Many teachers and authors gave us great inspiration. The Soviet mathematician А. Я. Xinxin’s words are profound. In his first preface to the Concise Tutorial for Mathematical Analysis, he said, "In order to make this tutorial as concise as possible, my approach is entirely on the selection of the most streamlined material and not on the narrative. The reasoning in the textbooks has been written in detail to reduce the reader’s difficulty, especially since I don’t hesitate to say a few words to help the reader understand the rules of the road he follows from time to time.As for different concepts, theorems , problems, and the relationships between the whole theory; their methods of action and their application in applied science and technology; and other ideological and principled features of mathematical analysis; all of these, in many cases, are more general than More space