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A good book on mathematical and physical methods.
1. Two Competition Books by Cheng Jiafu (Mechanics and Electromagnetism)

Comments: As introductory textbooks, these two books are quite classic, with reasonable structure, comprehensive knowledge, vivid explanations and classic examples. The starting point of this book is not high, but it is not a problem to read it through and save one. Another feature of it is that it has a certain universal color, which can lay a good foundation for deeper learning.

2. Zhang Datong's brief comment on the road to gold medal: A book strongly recommended by many masters in the last era is very popular, and I haven't read it carefully. The difficulty is similar to that of the semi-finals, and the overall arrangement is classic. Examples and exercises directly selected many original competition questions. But it is not as magical as the legend, and it is not suitable for the trend of today's competition.

3. The set of physical problems written by Shu Yousheng

Comments: At present, only copies are sold, and Mr. Shu Yousheng's immortal works are very thick. I highly recommend them! The difficulty of this book is not as unattainable as the legend, but it is obviously not at the same level as other competition books in the physical realm. If you can read this book carefully, your physical quality will definitely make a qualitative leap! Before writing this book, I suggest reading two books by Cheng Jiafu, and then learning some basic knowledge of calculus.

4. Physics competition training compiled by Shu Yousheng.

Comments: The reduced version of the jigsaw puzzle collection is much less difficult and classic, but the quality is good.

5. Physics Competition Textbook for Middle School in China

Comments: Simplified version of intensive training, with more lectures and fewer topics. Generally speaking, it's ok, but it's not the mainstream textbook, and some of it is too brief.

6. Olympic Classic Series Physics Competition Textbooks

Comment: There are two books: Theory and Experiment. The theory is not very famous, but the experimental textbook (Qing) is the only systematic competition experimental book at present, which is well written. This is a must!

7. Official experimental instruction book

Comments: You have to watch it, but don't spend too much experience on it.

8.200 physical problems

Comments: There are many excellent questions in the skill-based question set, which can broaden your horizons. It is recommended to do them when you are free. However, the effect of improving ability is not as good as that of problem set. The difficulty is slightly higher than the rematch. High cost performance, not recommended.

9. Russia 500

Comments: It is very different from domestic competitions, with more emphasis on skills and more application of physical principles. It's a little less difficult than the rematch. It is mainly the solution to the problem set of "Russian Middle School Physics Competition" published by Nanda Press, which is out of print, but many new questions have been added. Some places will be very vague and confused because of translation problems, and mistakes are often sparse.

10. Orsay Art of War High School Physics

Comments: Out-of-print books can be obtained on national maps. Didn't look carefully. Some examples are good, and some exercises are difficult and there are no answers. If you think you are strong enough, you can try.

1 1. A brief comment on international physics olympiad's training and selection: a new book has just been published, and the topic is selected from the topic of Fudan Training Team. It is divided into two parts: theory and experiment. There are about 200 questions in the theoretical part, which are more difficult (slightly more difficult than the final). Many of them are very good, paying attention to physical thinking and comprehensive calculation, and also requiring skills. Personally, I feel that its classic degree is second only to the puzzle set, and it is a good book worth tasting. Students who are preparing for the semi-finals are not recommended.

12. Simulation problem set of China Youth Publishing House

Comments: It is the best one in the simulation problem set. It's a little difficult, but it's not worth putting too much energy into.

13. Higher and Better Physics edited by Chen Shen.

Comments: the explanation part is relatively simple, and the exercises are more difficult. After reading another basic competition book, your level will be improved to a higher level, which is more difficult than the rematch, but it does not involve high mathematics content. The answers to a few questions are not very good, so don't trust this book too much. There seems to be an experimental article now, but I haven't seen it yet. Shame!

14 Zhang Datong green physics competition course has a set of detailed answers to the exercises, but there are many mistakes, the difficulty is similar to that of the rematch, and the method is more detailed, but it lacks systematicness and is more in line with the competition trend. Suggestions.

15 Fan Xiaohui's Guidance and Inscription, I don't need to say much. As introductory textbooks, the gradient is obvious, because one writes systematically, but the section on mechanical vibration and mechanical wave is not well written, and there is nothing else to say, and some topics are described inappropriately or with few conditions, which is inconsistent with the answer.

16 Zhu Hao's little red book, I can't remember the name, some questions are quite difficult, and there is no answer yet, which is helpful for the semi-finalists to strengthen.

17 Shu Yousheng's answer 90 International Physics Olympiad has detailed answers, which is more difficult than the final.

18 physics competition training class, with Professor Shu's brand, not compiled by himself. I feel so-so, and I practice a lot. Beginners can try it, and people who cultivate self-confidence can also try it.

19 American 3000 questions, the difficulty is slightly lower than that of the semi-finals, but it is very helpful to broaden your horizons and it is difficult to buy. I used a photocopy.

There are 20 ways to solve problems, but I haven't read them carefully, but a lot of problems are not good and systematic, and I feel ordinary. I strongly recommend this book.

2 1 Zheng Yongling White Paper, not shy about using calculus, relatively basic, comprehensive and entry-level classic.

There are basically no new questions in the pre-competition training (pre-examination training) of senior high school physics competition, but some non-simulated questions are incorporated, and teachers can draw questions to do.

23 Physics Olympics Counseling Lecture The Shanghai Physics Society accidentally turned it out in the school library, and it has turned yellow, all of which are basic knowledge.

I read the fifth edition of General Physics by Cheng, which is basically meaningless to the competition. It should be read as an extracurricular book, but it is indispensable to form a systematic physical system.

Feynman is like a story book. Just look at the first two volumes. It is of little significance to the competition, but it is very helpful to the in-depth study of general physics. It doesn't feel as good as the general physical system, nor is it as magical as the legend.

There is no modern physics part in Zhang Datong's pre-competition training, and the exercises are not explained in detail, which is similar to the road to gold medal.

27 methods Zhong Xiaoping hasn't read many topics, and the common mistakes are properly analyzed, but there are still many mistakes. It would be better if there is a thermal light source.

Shu Yousheng, a physical competition training textbook, pays great attention to systematicness and self-sealing, which is very helpful to improve the knowledge system, but after all, it is relatively thin and not as specific and detailed as a book. The exercises are properly arranged and the difficulty gradient is obvious. There is no answer to this exercise.

29 Senior High School Physics Olympic Counseling Series (Shandong) is an internal teaching material in our province. The theoretical part is generally copied, so you don't need to read it. The experiment part is compiled by Shandong Physical Society. Because it is a problem in this province, Shandong students don't want to study.

I want to say one more thing. Teacher Fan Xiaohui said it well. Doing more questions is king. Don't be superstitious about counseling books. Each has its own advantages and disadvantages. It is better to concentrate than to abuse it. No matter how clever you are, you can't win the prize. The focus of the competition is knowledge system rather than eccentric skills.

Personally, I think I should read Cheng Jiafu's mechanical articles and study calculus at first. What books about calculus can be read, such as Advanced Mathematics by Tongji, such as Mathematical Methods in Basic Physics, Introduction to Advanced Mathematics published by HKUST (HKUST Press may not be easy to buy) or Mathematical Analysis published by Nankai (Science Press). I first read the Tongji version of advanced mathematics, when I was a freshman. I started reading this book when I didn't even learn how to learn math in high school, but that doesn't mean I don't understand it at all. Tongji's books are very simple and practical. After learning, simple differential and integral calculations are no problem, and formula derivation in general physical mechanics is possible. But to be honest, I didn't understand the limit theory when I read that book, and I was not very good at calculating complicated limits and integrals. Of course, these contents may not be helpful to the physics competition, but I think it is still very uncomfortable to learn calculus without really understanding the limit theory, and my heart is completely empty. If you want to understand these things basically, learn to calculate slightly complicated limits, integrals and so on. You need to read Nankai Mathematics and Introduction to HKUST Advanced Mathematics. At that time, after reading Nankai's math scores, the ability to find limits and integrals was obviously improved. Of course, I have a better understanding of the basic contents such as limit. Introduction to HKUST Advanced Mathematics is an excellent advanced mathematics book, which can be compared with scores textbooks of many famous schools. As a teaching material of calculus for non-mathematics majors, its demonstration is very rigorous (limit theory and real number theory are very rigorous), and its content is extensive (external differential form, orthogonal curvilinear coordinate system, generalized Fourier series, etc.). ), and some topics are quite difficult. Of course, most students in physics competitions in senior high schools don't want to spend too much time on math. As for zorich's Mathematical Analysis and Fickin Goelz's Calculus Course, if they are really energetic and interested, they are certainly good. These two books are extensive and profound. There are many modern mathematics in Zhuo Shu, and Shu Fei's classic calculus is very detailed, which requires a lot of energy to study. As for the domestic score, I think the best one is the three-pointer written by HKUST Xu Senlin (Mathematical Analysis published by Tsinghua University Publishing House), which I also read in high school. Really energetic, the system is neat, and I can exercise my mathematical thinking ability. It's enough for you to do half a day just to deduce several propositions about the continuity of real numbers, and it's also difficult to review the questions. Hehe, I'm very sorry. I talked a lot about mathematics, and some things have gone far beyond the scope of physics competitions. Maybe it's because I think learning math well is of great significance to learning physics. Generally speaking, it is necessary for everyone to learn calculus well, not necessarily how deep it is, but to reach the level of advanced mathematics in Tongji.

If calculus is done well, you can look at ordinary things. To put it bluntly, if you only study physics in high school, you don't even know that the theorem of kinetic energy can be derived from Newton's second law. The whole mechanical frame is loose in the brain, which can't be regarded as a frame or a system at all. As far as physics is concerned, we have to learn Newton's laws several times. Junior high school Niu Yi Niu San, senior high school Niu Yi Niu Er Niu San, college general physics and mechanics Niu Yi Niu Er Niu San. Is the physical connotation really that difficult? I don't think it's that difficult, but the lack of calculus in middle school can help you understand Newtonian mechanics. With these things, you can know that Newtonian mechanics is a whole, and you can have a very clear theoretical system. Three theorems of displacement, kinetic energy and angular momentum can be derived from Newton's law, and the laws of mechanical structure (law of universal gravitation, Hooke's law, etc.) can be added. ) to Newton's law to get all the mechanical conclusions. This kind of physics is physics, the kind of physics that tells you that there is a theorem of kinetic energy and lets you use it. Don't you think it is very similar to chemistry? I'm telling you there's a reaction equation. You know, the knowledge of high school physics can be found in general physics in universities. General physics in universities includes some competition books, such as Mechanics by Cheng Jiafu. In fact, physics is taught from the beginning, and physics is taught from the most basic, so I don't think I need to do it again before reading the competition book and the general physics book.

Cheng Jiafu's Mechanics is well compiled, very suitable for competitions, and the examples are also very good. Exercise questions are generally simple in proportion, but people who have just started the competition must do it. Personally, I don't advocate those who make a lot of competition books. I think both of Cheng Jiafu's books are very good in topic selection. If you want to ask more questions, you can choose the Lecture Notes of Physics Olympiad in Senior High School published by Zhejiang University Press. The topic of the handout is actually all the topics, and there are all kinds of questions. In addition, you can also choose "Russian Middle School Physics Competition", which is not bad, but also very novel and difficult. And "international physics olympiad training and selection", of course, more problems. Many people say higher is better. How can I put it? I don't have a particularly good impression of that book. Maybe I didn't watch it for a long time and didn't read it all. I feel higher and better. There are many mistakes in that book, and the title is not particularly good. As for saying that it deliberately doesn't use calculus, I think it's done. If we want to get a clever elementary treatment method outside calculus, it is of course very good and worth mastering. If the so-called elementary method is calculus in essence, I beg to differ. Of course, my impression is that the higher and better book system is relatively novel, and the summary of some methods is quite good ... As for the collection of difficult questions, the questions are classic, but a little outdated, like many questions in mechanics are relatively simple, but some questions are beyond the scope of national competitions, because after all, they were compiled by Shu Yousheng and his team who trained the national training team. Some problems seem to be more difficult, for example, some students in the circuit made them up, and they didn't have too strange physical ideas, but used Fourier analysis to analyze those profound mathematical knowledge. Another book I like very much is "200 physical problems", which is considered non-mainstream, but some questions are really interesting. After all, our competition study is not entirely for exams, and that kind of book is still very easy to read. When it comes to doing questions, many people will think that there are not many questions suitable for the competition, and the questions are similar everywhere, and the broader questions seem to be very unsuitable for the competition. That's a very painful thing.

Therefore, the later you get, the more you should cherish those excellent questions that you have never seen before, and do them seriously within a limited time, or even use them to do them. Of course, I remember that when we arrived later, we all started to make up our own questions, which were varied. Some of them are really interesting, while others are puzzles for the sake of puzzles. I think it is easy for students to fall into the dilemma of solving their own problems. In fact, many classic and interesting physics problems are accumulated in long-term physics teaching, which can't be worked out by a professor or a student.

Speaking of general things, I think it is necessary to have a look, so that we can really understand physics, not just doing problems. I object to reading general physics books for non-physics majors. I've read those books before, and I really don't think it's helpful to understand real physics. In other words, people who study engineering originally study physics as a tool discipline, instead of really understanding and appreciating physics. How can I see really beautiful physics in science books? So I suggest that if we want to look at general physics, we should look at the general physics of physics, that is, the general physics of mechanics, electromagnetism, heat and so on. I only recommend two general theories of mechanics, one is Mechanics by Shu Yousheng and the other is Mechanics in Zhao Kaihua's new concept physics course. The best order is Shu Yousheng first, then Zhao Kaihua. Shu Yousheng's book is basically a completely classical mechanical system, which is very neat and clear. After reading that book, I really have a refreshing feeling, which is very beneficial to master the classical theoretical system of mechanics. Moreover, he is engaged in competitions, and many questions in his book are selected from competitions. Personally, I think Shu Yousheng's book is most suitable for solo competition. And if you want to have a deeper grasp of physical problems, think more carefully, learn physics more physically and more essentially, and also want to see some subsequent and modern developments in the classical field, Zhao Kaihua's book is undoubtedly very good. That book is very substantial, both in content and thinking. Generally speaking, I think Shu Yousheng's book is more formal, and Zhao Kaihua's book is more substantive. Mr Zhao Kaihua is 80 years old this year. He devoted his life to physics education in China. He is a very respected physicist and educator.

I talked a little earlier, mainly about mechanics. In fact, to tell the truth, classical mechanics and classical electromagnetism should be the clearest subjects to master. You can tell from those textbooks alone. There are many well-written, clear and interesting books in the general physics textbooks of mechanics and electromagnetism, but how many books about heat are well-written? I am not satisfied with Mr. Zhao Kaihua's thermodynamics myself, which is a bit messy, such as thermodynamics and statistical physics. In principle, it is two theoretical systems (such as the concept of "temperature", which can give a definition of pure thermodynamics that has nothing to do with molecular motion). When they are mixed together, it is likely that both systems are unclear, especially the thermodynamic system. Until last semester, our thermal teacher worked hard to build a relatively complete thermal system in the teaching process of a semester, and then I got a slightly clear thermal system, which made me slightly satisfied. Regarding quantum physics, let's just say that if Mr. Wang and Mr. Zeng of Peking University are invited together to talk about quantum mechanics, the two gentlemen will definitely quarrel ... There is a saying that every teacher is teaching his own quantum mechanics.