Some beautiful theorems in mathematics have the following characteristics: they are easy to be summarized from facts, but their proofs are extremely hidden. Mathematics is the king of science. Gauss

In the field of mathematics, the art of asking questions is more important than the art of answering questions. William Conrad

As long as a branch of science can raise a large number of questions, it is full of vitality, and no questions indicate the termination or decline of independent development.

-Hilbert

In the mathematical world, what matters is not what we know, but how we know it.

Pythagoras

Only by successfully applying mathematics can a science be truly perfect.

Marx

The scientific level of a country can be measured by the mathematics it consumes.

-Rao

Hua said: "The size of the universe, the tiny particles, the speed of rockets, the ingenuity of chemical engineering, the change of the earth, the mystery of biology and the complexity of daily use require mathematics everywhere."

Von Newman said: "Mathematical methods permeate and dominate all theoretical branches of natural science. It has increasingly become the main symbol of measuring scientific achievements. "

Pierre (Canadian biologist) said: "Ecology is essentially a mathematics."

Kepler said: "Mathematics has made an important contribution to observing nature. It explains the simple primitive elements in the regular structure, with which celestial bodies are built. "

Fourier said: "The main goal of mathematics is the public interest and the explanation of natural phenomena."

Lobachevsky said: "No matter how abstract any branch of mathematics is, it will be applied to the real world one day."

Leibniz said: "With one, everything can be created from nothing."

Aristotle said, "Thinking begins with doubt and surprise."

Knowles said: "Mathematicians are fascinated by nature. Without fascination, there is no mathematics."

Kopnen (philosopher of the former Soviet Union) said: "Mathematicians are as happy as seeing statues, beautiful scenery, beautiful tunes and so on when they derive equations and formulas."

Russell said, "What makes me most happy about mathematics is what can be proved."

Gauss said: "what gives me the greatest happiness is not knowing knowledge, but constantly learning;" Not what you already have, but what you keep getting; Not the height that has been reached, but the constant climbing. "

Paulia said, "Start with the simplest."

Gauss said, "Less is better, but better." "Half the proof is equal to zero."

Hilbert said: "When I listen to others explain some math problems, I often find it difficult or even incomprehensible. At this time, I thought, can we simplify the problem? Often it is finally figured out, but it is actually just a simpler question. "

Hironaka Heisuke (a Japanese mathematician who won the Fields Prize) said: "In mathematics, it is very important to distinguish what is important and what is not. It is very important to know what to choose."

Hua said, "You need to find a good chess player ...". . Only if you are not afraid to expose your weaknesses in front of the Almighty, can you make continuous progress. ""self-study, not afraid of a low starting point, afraid of the end. "

Newton said, "If I can see farther, it is because I stand on the shoulders of giants."

"I owe my success to careful thinking. Only by constantly thinking can I reach the other side of discovery. "

Newton said: "Every goal, I want it to stay in front of my eyes, from the first dawn, has been retained, slowly spread out, until the whole earth is bright."

Einstein said: "whenever my mind has no problems to think about, I like to re-verify the theorems I already know." There is no purpose in doing this, just to give yourself a chance to fully enjoy the fun of concentrated thinking. "

Hua said: "it is not intuitive to calculate the number of vacancies, but it is difficult to be meticulous when calculating the number of vacancies." He also said that there are two necessary processes to lay a good foundation in mathematics: one is to learn and accept "from thin to thick"; Digestion and refining "from coarse to fine"

Sue (a mathematician in Chinese mainland) said, "To learn mathematics, we should do more exercises and think while doing it. Prophet it and then know why. "

Ramanuyan said, "Genius? Please look at my elbow. "

Caragiodori (Greek mathematician of function theory) said, "There will never be excessive efforts in learning mathematics."

Einstein said: "the inside of the circle represents what I have learned now, and there is an infinite blank outside the circle, and as the circle gets bigger, the blank of circle contact becomes bigger and bigger." Between genius and diligence, I chose diligence without hesitation, because it is the promoter of all achievements in the world. "I've been thinking about it for months and years; Ninety-nine times I was wrong and the hundredth time I was right. "

Newton said: "I don't have extraordinary intelligence, but I just insist on thinking disdainfully." Do your best today, maybe you can do better tomorrow. "

David (the father of algebra) said, "There is no problem that cannot be solved."