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 achievement in human thinking" < p School (French mathematical 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 constantly evolve"
Plato said: "Mathematics is the highest form of all knowledge"
Court said: "Mathematics is human. 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. I can create a universe. The books of nature are written in the language of mathematics. Newton said, "Without bold guesses, great discoveries can't be made." halmos said, "The creation of mathematics can't be obtained by inference alone. At first, it is usually some vague guesses, trying to figure out possible popularization, 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" . The 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 a reader.
Napoleon said, "A country can only show its national strength if mathematics develops vigorously. The development of mathematics is closely related to perfection and national prosperity.
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 how abstract any branch of mathematics is, it will be applied to this real world one day "
Leibniz said:" Use one, never, Everything can be born "
Aristotle said:" Thinking begins with doubt and surprise "
Noeles said:" Mathematicians are fascinated by nature, and there is no mathematics without fascination "
Kopuning (a philosopher of the former Soviet Union) said:" When mathematicians derive equations and formulas, they are as happy as seeing statues, beautiful scenery and listening to beautiful tunes "
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, in fact, it is just a simpler question. "
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, Keep it until the whole earth is bright. "
Einstein said," Whenever my mind has no questions 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 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. "