1953 The Commercial Press published a Chinese translation based on the first edition of Russian. As a book on higher education, the translator is Mr. Li Rongdong. 1958 is modified according to the new Russian version. 1978, People's Education Publishing House reprinted this book for the last time, with so many prints that it can still be seen in many places.
Subsequently, in 1979, Professor Cao of Shanghai Jiaotong University published the problem-solving books of this problem set in China, *** 13 volumes. Due to the small print run and narrow distribution scope, this book did not enter the public eye.
Then at 1980, Fei Dinghui and Zhou Xuesheng of Shandong University published the title of this book in Shandong Science and Technology Publishing House, which has been reprinted countless times in the past 20 years. The second edition was revised in 1999, and the title explanation was published in the third edition in 2005. Because of the emergence and spread of this problem-solving book, the training value of the original exercise book is getting lower and lower. As a result, Peking University took the lead in launching its own problem set that matched the teaching materials.
2 1 century, due to the agglomeration effect of the Internet, the narrow vision of beginners and the silence of mathematics practitioners, this book continued to be popular in China. Some publishers and authors, whose ultimate goal is profit, began to launch such plagiarized problem-solving books like bulldozers. For example, various books related to this workbook in the last ten years are as follows:
1, Solution of Jimmy Dovich's Mathematical Analysis Problem Set (Volume I), edited by Huang Guanggu, Huazhong University of Science and Technology Press, 2006;
Note: The second edition was revised in 2009.
2. Complete Works of Mathematical Analysis Exercises, Yang Lixin and Bi Bingjun, Anhui People's Publishing House, 2005;
Note: The second edition was updated in 2007
3. The complete solution of Jimmy Dovich's mathematical analysis exercises (***5 volumes), edited by Liao and Xu Ning, Anhui People's Publishing House, 2005;
Note: The second edition was revised in 2007
4. Beyond Jimidovich Series (published one after another), edited by Liu Peijie, Harbin Institute of Technology Press, 2009;
5. Detailed Explanation of Jimmy Dovich's Mathematical Analysis Exercises (***3 volumes), edited by Zhang Xinguo, written by the Mathematics Research Group of Double Doctorates, Science and Technology Literature Publishing House, 2008;
Note: Dr. Shuang is a brand of postgraduate counseling.
6. Fine Solution of Mathematical Analysis Exercises, edited by Fei Dinghui and Zhou Xuesheng, Shandong Science and Technology Press, 2007;
7. Detailed explanation of Jimmy Dovich's advanced mathematics exercises, edited by Zhang Tiande and Jiang Xiaoyun, Shandong Science and Technology Press, 2007;
8. Jimmy Dovich's Mathematical Analysis Problem Set-Tips, Solution Ideas and Answers, edited by Fei Dinghui, Shandong Science and Technology Press, 2007;
...... 1985, Higher Education Press published the Mathematical Analysis Textbook of Peking University Mathematics Department and its supporting exercise book "Mathematical Analysis Problem Set", by Shen Xiechang, Fang, Qu,,. Among them, except Lin Yuan Kanal, the other four are the authors of corresponding mathematical analysis textbooks.
It is mentioned in the preface of the problem set that the characteristics of this book are: in view of some mistakes that students often make, some judgment questions are written, and the proof process is listed, so that students can judge right or wrong; This paper introduces some questions of previous postgraduate entrance examinations; The most important thing is to supplement the problems of mathematical analysis encountered in professional courses, which were discovered by the author during the research process. The following passage illustrates the importance of this kind of exercises: "Among the authors of this set of exercises, Professor Shen is doing differential equations and Professor Fang is doing complex analysis, so you can find a lot of original content in it. ..... In this sense, this book is a good primer. "
The biggest point of this problem set is that it has very accurate bedding and tips, and the proof questions account for more than two-thirds. Therefore, even after so many years, beginners of mathematical analysis in many universities in Peking University and even the whole country still use this problem set as training materials.
Over time, this book is hard to find in the libraries of cities and even universities. In order to make it easier for more people who love mathematics to learn and refer to it, Zhai Ruiaote's studio rearranged the book in TEX language, and made some changes without changing the meaning of the title. If you need to buy, you can search for "Zhairui Otter Studio" in Baidu You Li Ya or log on to Jevuxe's Baidu space. There are two kinds of exercises in R. Courant and Filtz John's masterpiece Introduction to Calculus and Mathematical Analysis: one is a question, which is generally not easy to answer, even more difficult, and most of them are supplements to text materials; One is practice, the topic is more conventional, and the main purpose is to improve skills through training. A.A. Blank compiled the latter type of exercises and solutions into a book, which was published separately as an appendix to Introduction to Calculus and Mathematical Analysis. 1986 Science Press published the Chinese translation of the workbook.
The publication of this workbook is influenced by the trend of new mathematics education in the United States, and the exercise questions compiled are moderately difficult and slightly insufficient in depth. Because there is no problem in the corresponding textbook, it is not suitable for training the problem-solving ability of mathematical analysis. Written by гн Biermann and others, this book is one of the most commonly used problem sets in engineering colleges in the former Soviet Union (the most commonly used problem set record is the theoretical mechanics problem set written by Michelsky and others). By 1985, the former Soviet Union had published version 17. 199 1 year, Central South University of Technology Press published the Chinese translation of the book.
This book has more than 4400 topics. Because its readers are engineering students, there is actually not much unique content of mathematical analysis, and its depth and breadth are roughly equivalent to the scope of ordinary "advanced mathematics" or "engineering mathematical analysis". Many exercises in Tongji University's Advanced Mathematics Problem Set (People's Education Press, 2nd Edition, 1965) are selected from this book. This book is a set of problem sets used in the mathematical analysis course of mathematics or physics major in the former Soviet Normal University. The author is нааппппппппвннннннннннннннннн The Chinese version is published by Higher Education Press 1954 and translated by Mr. Li Rongdong.
This workbook is compiled according to the syllabus of mathematics/physics major in normal universities, so the range of knowledge points is wider than various "engineering analysis" and "advanced mathematics", but it is not very different from them in strictness. For example, it will examine the application of more detailed sequence discrimination rules, but it is not very demanding when discussing the influence of uniform convergence of function series on the analytical nature of its limit function.
This book can be used as a supporting workbook for the course of mathematical analysis written by мккгребенча).