This book is very good. Even if there is the word "foundation", you will feel simple. The so-called foundation is that the questions in it are all fill-in-the-blank questions. He basically exhausted all the fill-in-the-blank choices of the questions he could see, and there would be no problem if the fill-in-the-blank choices for the postgraduate entrance examination were completed. I have read this book three times, of course not every time. I'll tell you what to do later.
The concept and nature of the key points of postgraduate mathematics Bing Xu?
You may not have heard much about this book, but I bought it after reading it (I seldom buy such a book that is not recognized by everyone). I think it may be because most people don't care much about the basics, so this book is not as popular as other books. Its high number part is quite good. It will give the conceptual essence that everyone is prone to make mistakes in high numbers in the form of judgment, and then give a detailed explanation. If you want to lay a solid foundation,
Li Yongle, The Complete Book Review.
The debate about good review books and review guides has never stopped, but I think if there are three books, the whole book is better than the guide. Many people who failed the review guide in the first year and changed the review book in the second year will say that the whole book is better. As for which is the best, I have never experienced it and dare not jump to conclusions. Later, I simply read Chen Wendeng's review guide. This book has two parts that everyone must read: the tabular method of partial integration and the operator method of differential equations. It's awesome. I can't put it down after using it, haha!
Lecture notes on probability theory and mathematical statistics (basic chapter) Yao?
You have recommended several books on probability theory. I read them all in the book building. I strongly recommend that you use this book. You'll know when you use it. It exhausts all the probability problems you can see. I believe there will be a qualitative leap in probability after you finish!
Expanding the magic weapon of mathematics score for information postgraduate entrance examination
Magic weapon one: step-by-step scoring method
The solutions in the postgraduate entrance examination paper are graded according to the steps. In the postgraduate examination paper, 80% of the questions are mainly exams, so most candidates will do the questions with ideas, but the final answer is wrong because of calculation errors. Or you can do it, but you lack the necessary key steps and can't get full marks. This is the long-standing problem of "meeting but not right, right but not complete" that we usually encounter.
The way to correct this kind of mistake is to ask candidates to carefully write down the problem-solving process when doing problems at ordinary times, pay attention to accurate expression, strict logic and standardized writing, and prevent deduction.
Magic weapon 2: jump method
I have ideas when solving problems, but I find myself stuck in the middle. There are generally two situations. One is that a certain knowledge point or nature has been forgotten. In this case, calm down and take a look at the content of this piece and see which knowledge points will be used.
Due to the limitation of examination time, I will receive the original high-scoring universal composition template for English examiners for postgraduate entrance examination for free. It's too late to overcome the "stuck place". You can write down the previous one and then write "After confirming a certain step, there will continue to be ..." All along, this is a skip answer. Perhaps, later, the intermediate steps were thought out again. At this time, don't insert it at will, but add it at the back, "In fact, a certain step can be proved or calculated as follows" to keep the paper clean and tidy.
Magic weapon 3: missing step scoring method
If you encounter a very difficult problem, you really can't solve it completely. The clever problem-solving strategy is to break them down into small problems, solve some problems first, solve as many as you can, write as much as you can, and try not to leave blank. Especially for some topics with relatively fixed problem-solving ideas, it is not bad to get more than half of the scores, although the important steps are not concluded after writing.
Refer to Baidu Encyclopedia-Three Outline of Postgraduate Mathematics