1 whenever there is no problem to think about in my mind, I like to re-verify the theorem I already know. There is no purpose in doing this, just to give yourself a chance to fully enjoy the fun of concentrated thinking.
2. Mathematical methods permeate and dominate all theoretical branches of natural science. It has increasingly become the main symbol of measuring scientific achievements.
3. Teachers don't teach with the results they get. The most important thing is how to teach people with results.
4. Mathematics is a tool of knowledge and a source of other knowledge tools. All the sciences that study order and measurement are related to mathematics.
There are not so many things like mathematics in reality, which have lasted for thousands of years and are really so beautiful.
6. Give me five coefficients and I will draw an elephant. Give me six coefficients and the elephant will wag its tail.
7. Pursuing that goal in the best time of my life, this book has been written. It doesn't matter whether modern people read it or future generations read it. It may take a hundred years to get readers.
8. Educating children should focus on stimulating interest and love, otherwise it is just cramming and meaningless.
In the world of mathematics, what matters is not what we know, but how we know it.
10, history makes people wise, poetry makes them elegant, mathematics makes them noble, natural philosophy makes them deep, morality makes them steady, and ethical rhetoric makes them able to contend.
1 1. Whoever does not know that the diagonal side of a square is an incommensurable quantity is not worthy of this title.
12. In the field of mathematics, the art of asking questions is more important than the art of answering questions.
13, learning knowledge should be good at thinking, thinking and thinking again. That's how I became a scientist.
14, take knowledge as food, we don't live to know, just as we don't live to eat.
15, this is a reliable law. When the author of mathematics or philosophy works writes with vague and abstruse words, he is talking nonsense.
16, the human brain is such a computer, which works very reliably at a fairly low accuracy level.
17, don't think that some words in mathematics have exactly the same meaning just because they look the same as those in natural language.
18, genius is unreliable, cleverness is unreliable, and it is unimaginable to pick up great scientific inventions conveniently.
19. Mathematics is advancing freely along its own path, not because it has various licenses that are not bound by law, but because mathematics has a freedom that is determined by its essence and consistent with its existence.
20. "Dare to do subtraction in learning is to subtract what the predecessors have solved and see what problems have not been solved, which needs us to explore and solve.
2 1, most mathematical creation is the result of intuition, and a little direct perception or quickness of facts is understanding, which has nothing to do with any lengthy or formal reasoning process.
22. If you want to learn to swim, you must go into the water. If you want to be an expert in problem solving, you must solve problems.