B.P. Kiselevich's Collection of Problems and Solutions in Mathematical Analysis (1) (Third Edition)

Author: Fei Dinghui
Publisher:
Publishing Date: 2005-01-01
Features: Many people mistakenly think that "Gimadevich's Collection of Problems in Mathematical Analysis" is very difficult. In fact, it is a comprehensive set of problems covering various difficulty levels. Some problems can be solved by undergraduates, while a few are so challenging that even PhD students might not be able to solve them. Therefore, it is not difficult to get started with this set of problems, but to master them entirely requires a considerable level of proficiency. Since the founding of the country, this collection of problems has been an important supplementary book for mathematics majors. It is particularly revered by the University of Science and Technology of China, where every new student is given a copy (without solutions) and required to "solve all the problems." The saying "Rich Peking University, poor Tsinghua University, and those who risk their lives for USTC" is partly related to this, and the misconception about its difficulty has spread like wildfire. The book contains over 4,000 problems, with a large number of rich and diverse content, progressing from simple to complex, with some problems being particularly challenging. It covers topics such as functions and limits, differential calculus of single-variable functions, indefinite integrals, definite integrals, series, differential calculus of multivariable functions, parametric integrals, as well as multiple integrals, line integrals, surface integrals, and more, encompassing all major themes of mathematical analysis. Currently, readers in our country, especially those who are willing to study mathematics through hard self-study, are urgently in need of clear answers to some difficult problems. In light of this, we have invited authors to compile all the solutions to the 4,462 problems in the book into six volumes. This book can serve as a teaching reference for higher education institutions and also as a reference for readers studying calculus.