Gauss said, "What gives me the greatest happiness is not knowing knowledge, but learning constantly; Not what you already have, but what you constantly acquire; Not the height we have reached, but the continuous climbing "

Paulia said," Start with the simplest "

Gauss said," I'd rather have less, but it's better. "

Hilbert said," When I listen to others explaining some math problems, I often find it difficult to understand, or even impossible to understand. At this time, I thought, can we simplify the problem? Often, after finally figuring it out, it is actually just a simpler problem. "

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

Hua Luogeng said, "To play chess, you need to find a master. . Only if I am not afraid to expose my weaknesses in front of the almighty, can I make continuous progress. ""Self-study, not afraid of a low starting point, not afraid of the end. "

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

" My success is attributed to careful thinking, and only by constantly thinking can I reach the other side of discovery. "

Newton said," Every goal, 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 what I already know. There is no purpose in doing this, just to give yourself a chance to fully enjoy the pleasure of concentrating on thinking.

Hua Luogeng said, "It is less intuitive when counting the missing shapes, and it is difficult to be nuanced when counting the missing shapes." He also said that there are two necessary processes to lay a good foundation in mathematics: first, learn and accept "from thin to thick"; Re-digest and refine "from thick to thin"

Su Buqing (a mathematician in mainland China) said: "When learning mathematics, you should do more exercises and think while doing it. Prophet it, and then know why "

Ramanuyan (India's national treasure of mathematics) said," Genius? Please look at my elbow "

Karagiodori (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 are still infinite gaps outside the circle, and as the circle grows bigger, the gaps contacted by the circle become 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 with disdain. Try your best to do well today, and you may be able to do better tomorrow "

Wei Da said (the father of algebra):" There is no problem that cannot be solved "Mathematics is a kind of spirit, a kind of rational spirit. It is this spirit that inspires, promotes, inspires and drives human thinking to the most perfect degree, and it is this spirit that tries to decisively influence human material, moral and social life; Trying to answer questions about human existence; Try to understand and control nature; Try your best to explore and establish the deepest and most perfect connotation of the acquired knowledge. -Klein's Mathematics in Western Culture

Mathematics is one of the main expressions of human mind's free creativity besides language and music, and mathematics has become a medium to understand everything in the universe through theoretical construction. Therefore, mathematics must remain the main component of knowledge, skills and culture, while knowledge and skills have to be passed on to the next generation and culture has to be passed on to the next generation. -from German mathematician HermannWeyl

Mathematics is the queen of science, while number theory is the queen of mathematics. Gauss music can inspire or soothe feelings, painting can make people pleasing to the eye, poetry can touch people's hearts, philosophy can make people gain wisdom, science can improve material life, but mathematics can give all of the above. -Klein The essence of mathematics lies in its freedom. -cantor

in the field of mathematics, the art of asking questions is more important than the art of answering them. Cantor

No problem can touch people's emotions as deeply as infinity, and few other concepts can stimulate reason to produce fruitful thoughts as infinity, but no other concepts need to be clarified as infinity. -Hilbert

Mathematics is an infinite science. -Herman Weil

Problems are the heart of mathematics. -p.r.halmos

As long as a branch of science can raise a large number of questions, it is full of vitality, and the lack of questions indicates the termination or decline of independent development. -Hilbert

Some beautiful theorems in mathematics have such characteristics: they are easily induced from facts, but the proofs are extremely hidden. -Gauss

Philosophers should also study mathematics, because he must jump out of the vast variety of phenomena and grasp the real essence. ..... and because it is a shortcut to make the soul transition to truth and eternity. -Plato

Gauss (Prince of Mathematics) said: "Mathematics is the king of science"

Russell said: "Mathematics is a symbol plus logic"

Pythagoras said: "Numbers dominate the universe"

halmos said: "Mathematics is an ingenious art"

Misra said: "Mathematics is the highest in human thinking. Mathematics research group thinks: "Mathematics is a theory to study abstract structures"

Hegel said: "Mathematics is a symbol of God's description of nature"

Wilde (president of the American Mathematical Society) said: "Mathematics is a culture that will continue to evolve"

Plato said: "Mathematics is the highest form of all knowledge"

Court said: "Mathematics is the brightest in the crown of human wisdom. All the science of research order and measurement is related to mathematics. "

Engels (philosopher of dialectics of nature) said: "Mathematics is mathematics that studies the quantitative relationship and spatial form in real life."

Klein (American mathematician) said: "Mathematics is a rational spirit, which enables human thinking to be applied to the most perfect degree."

Galileo said: "Give me space, time and logarithm, and I can create a universe." "Books in nature are used. You can't make a great discovery ",halmos said:" The creation of mathematics can never be obtained by inference alone. First of all, it is usually some vague guesses, trying to figure out the possible promotion, and then drawing a conclusion that is not very sure. Then organize your thoughts until you see the clues of the facts, and it often takes a lot of effort to put everything into logical proof. This process can't be accomplished overnight. It is common to go through many failures and setbacks, guess and imitate again and again, and spend a few months in temptation. "

Laplace said: "In mathematics, the main tools for us to find truth are induction and simulation"

Wittgenstein said: "Mathematics is a variety of proof skills"

Hua Luogeng said: "New mathematical methods and concepts are often more important than solving mathematical problems themselves"

Napier said: "I always try my best to get rid of that heavy and monotonous calculation" It doesn't matter whether modern people read it or future generations read it. It may take a hundred years to get a reader.

Napoleon said, "A country can only show its national strength if mathematics develops vigorously. The development and perfection of mathematics are closely related to the prosperity of the country "

Chen Shengshen said:" When I wake up in the morning, the first thing I think about is mathematics. My life is mathematics; The tireless pursuit of mathematics for life has never been slack for decades, and it is still the case. " He also said that "hard work does not mean reading books in the room every day, nor does it mean just doing exercises, but thinking about mathematics often." There are at least seven or eight hours a day thinking about mathematics. "

Erdos said, "There is time to rest in the grave"

Paul. Lang Zhiwan (a legal mathematician) said, "In mathematics teaching, it is beneficial to add history."

Newton said, "One example is more effective than ten theorems."

Condorcet said, "Euler likes to amuse students and surprise them when giving lectures."

Huang Wuxiong said (a professor at National Taiwan University), "It is often possible to guide definitions. You will never be a perfect math teacher "

Euclid said:" The fleeting things will eventually pass away, but the celestial patterns will last forever. "Hua Luogeng said:" The greatest hope is to work until the last moment of life. "For these mathematicians who have devoted their lives to mathematics, even when they reach the last point of their life journey, do they still stick to their original wishes? I still have a lot of work to finish. 。”

Abel, a Norwegian mathematician, began to solve the quintic equation at the age of 17. At the age of 22, he became the first person to prove that there is no formula solution to the quintic equation, and he made outstanding achievements in elliptic function theory. He died at the age of 27. How much he wants to live and solve some math problems.

Cauchy said, "People always die. However, their performance will last forever. "

Paulia said, "My interest in mathematics is not over yet."

Einstein said: "One reason why mathematics is respected more than all other sciences is that his proposition is absolutely reliable and indisputable, and other sciences are often in danger of being overthrown by newly discovered facts. …。 Another reason why mathematics has a high reputation is that mathematics makes natural science theorized and gives natural science a certain degree of reliability. "

Qiu Chengtong said: "After modern high-energy physics arrived at quantum physics, many of them could not be experimented at all, which is not far from what mathematicians think."

Roentgen said: "The first is mathematics, the second is mathematics, and the third is mathematics."

Hua Luogeng said: "The universe.

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

Kepler said: "Mathematics makes an important contribution to observing nature, which explains the simple primitive elements in the regular structure, and celestial bodies are built with these primitive elements"

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

Lobachevsky said: "No matter what. One day, it will be applied to this real world.

Leibniz said, "Everything can be born from nothing"

Aristotle said, "Thinking begins with doubt and surprise"

Noeles said, "Mathematicians are fascinated by nature, and there is no mathematics without fascination"

Kopnen (a philosopher of the former Soviet Union) said, "The first thing is that we can't learn mathematics."