Many parts of the topic are test calculation, but some topics are very enlightening, such as using Euler formula to calculate some definite integrals and the final harmonic function.
Some topics are really difficult, but most of them are friendly, just because these topics are basically the first ones. You can understand them by analyzing a large piece, that is, practice more and consolidate them.
How do you feel? My mind went blank after I finished. However, when I saw other math problems, I felt that I could do it orally.
Mathematical analysis is an important compulsory course for the department of mathematics in universities, and it is the basis for learning other mathematics courses. At the same time, it is also the main part of engineering advanced mathematics, and its specific research directions include:
1. Dynamical systems with integral invariants.
2. Periodic solutions of ordinary differential equations.
3. Well-posed and completely well-posed dynamic systems.
4. Limit solutions of differential equations.
5. Stability theory of dynamic system.
After the death of Professor stepanov, together with Professor Feinbaum and Professor Ilyushin, he led the research on qualitative theory of differential equations in the Department of Mathematical Mechanics of Moscow State University.
The Problem Set of Mathematical Analysis written by Jimmy Dovich is an international masterpiece, which has great influence in China. As early as 1950s, the Chinese version of the book was published in China. Now Anhui People's Publishing House has translated and published a new edition of Jimmy Dovich's mathematical analysis problem set.
All the answers to 5000 exercises in the book have been compiled and published in six volumes. This book can be used as a reference book for the teaching of mathematical analysis in colleges and universities, and can also be used as a reference book for readers to learn calculus by themselves.
The new edition of the problem set adds some new questions on the basis of the original edition. There are 5000 problems in the problem set, which are numerous and rich in content, from shallow to deep, including all the problems of mathematical analysis.
In addition to mathematical analysis problem sets, his works include Mathematical Theory of Stability, which is widely used as a reference book for related disciplines in Russia.