Mathematics is advancing along his own road without restraint. This is not because he has various licenses that are not bound by law, but because mathematics has a freedom that is determined by its nature and is consistent with its existence < P > _ _ _ _ _ _ Hankel, Hermann
Geometry, theoretical arithmetic and algebra have no other principles except definitions and axioms, and there is no other proof process except deduction, but in this process, simplicity, complexity, rigor and generality have been integrated, which is not possessed by other disciplines.
_ _ _ _ _ Whewell, W.
Mathematical knowledge has three main characteristics different from other knowledge: one is that mathematical knowledge makes its results more truthful than other knowledge; Secondly, mathematical knowledge is the first step to acquire other correct knowledge. Thirdly, the acquisition of mathematical knowledge does not depend on other knowledge.
_ _ _ _ _ Schubert, H.
Mathematicians don't care about statements or conjectures. They only deduce everything according to definitions and axioms, and use argumentation and reasoning. In fact, it is incorrect to call those theories established only by guesses or hypotheses as scientific things now, because guesses often resort to certain opinions or opinions, so they cannot produce knowledge from them.
_ _ _ _ _ _ _ Reid, Thomas
No subject can explain the harmony of nature more clearly than mathematics.
_ _ _ _ _ _ Carus, Paul
Mathematics is the key to science. Ignoring mathematics will certainly hurt all knowledge, because people who ignore mathematics cannot understand any other science or even anything else in the world. What's more, a person who ignores mathematics can't understand his own negligence, which will eventually lead to the inability to seek any remedial measures.
_ _ _ _ _ bacon, Roger
Mathematics is not the discoverer of laws, because it is not induction. Mathematics is not the founder of theory, because it is not a hypothesis. But mathematics is the judge and master of laws and theories, because laws and hypotheses have to show their opinions to mathematics, and then wait for the judgment of mathematics. If there is no mathematical recognition, the law can't work and the theory can't explain it.
_ _ _ _______Peirce, Benjamin
History makes people wise, poetry makes them witty, mathematics makes them subtle, philosophy makes them deep, morality makes them serious, logic and rhetoric make them able to contend.
_ _ _ _ _ _ Bacon, Francis
The passion for mathematics is increasing day by day not only among us, but also in the army, which was fully reflected in the last campaign. Poneparto himself has a good mathematical literacy. Of course, all those who have studied mathematics cannot be required to be geometricians like Laplace and Lagrange, or to be heroes like Poneparto. However, mathematics has left a mark in their minds after all. This will enable them to make more contributions than those who have not been trained in mathematics.
_ _ _ _ _ _ Lalande
Studying mathematics is to explore the mysteries of the universe. As we all know, the laws of planet and stratum, heat and electricity, variation and existence all involve mathematical truth. If language reflects and reveals the voice of the creator, then mathematics reflects and reveals the wisdom of the creator, and repeats the story of how things mutate into existence repeatedly. Mathematics concentrates and guides our energy, self-esteem and desire to know the truth, and thus lives in God's big family. Just as literature induces people's emotion and understanding, mathematics inspires people's imagination and reasoning.
_ _ _ _ _ _ _ Chanel, W.E.
Descartes' analytic geometry is Newton's, and Leibniz's calculus has been extended to the singular mathematical methods of Lobachevsky, Riemann, Gauss and Selma Vesto (this expansion is bolder than that of any discipline recorded in the history of philosophy). In fact, mathematics is not only an indispensable tool for various disciplines, but also flies freely without considering the constraints of intuitive feelings. Historically, mathematics has never shown the supremacy of pure reasoning as it does today.
________Butler, Nicholas Murray
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Epitaph of mathematicians
Some mathematicians devoted themselves to mathematics before their death, and after their death, they engraved on their tombstones the achievements representing their lives.
Archimedes, an ancient Greek scholar, died at the hands of Roman enemy soldiers who attacked Sicily (he was still in the Lord before his death: "Don't break my circle". ), people carved the figure of the ball inscribed in the cylinder on his tombstone to commemorate his discovery that the volume and surface area of the ball are two-thirds of the volume and surface area of the circumscribed cylinder. German mathematician Gauss gave up his original intention to study literature and devoted himself to mathematics after he discovered the rule practice of regular heptagon, and even made many great contributions to mathematics. Even in his will, he suggested to build a tombstone with a regular 17-sided prism as the base.
Rudolph, a 16th century German mathematician, spent his whole life calculating pi to 35 decimal places, which was later called Rudolph number. After his death, others carved this number on his tombstone. Jacques Bernoulli, a Swiss mathematician, studied the spiral (known as the thread of life) before his death. After his death, a logarithmic spiral was engraved on the tombstone, and the inscription also said: "Although I have changed, I am the same as before." This is a pun that not only describes the nature of spiral but also symbolizes his love for mathematics.
the story of a mathematician-Su Buqing Su Buqing was born in a mountain village in Pingyang county, Zhejiang province in September 192. Although his family is poor, his parents scrimp and save, and they have to work hard for him to go to school. When he was in junior high school, he was not interested in mathematics. He thought mathematics was too simple and would understand it as soon as he learned it. It can be measured that a later math class influenced his life.
That was when Su Buqing was in the third grade, and he was studying in Zhejiang No.6 Middle School. A teacher, Yang, who had just returned from studying in Tokyo, taught math. In the first class, Mr. Yang didn't talk about math, but told stories. He said: "In today's world, the law of the jungle prevails, and the world powers rely on their ships to build their guns and gain profits, all of which want to nibble and carve up China. The danger of China's national subjugation and extinction is imminent, so it is necessary to revitalize science, develop industry and save the nation from extinction. Every man is responsible for the rise and fall of the world,' and every student here is responsible. " He quoted extensively and described the great role of mathematics in the development of modern science and technology. The last sentence of this class is: "In order to save the nation and survive, we must revitalize science. Mathematics is the pioneer of science. In order to develop science, we must learn mathematics well. " I don't know how many lessons Su Buqing has attended in his life, but this lesson will never be forgotten.
Mr. Yang's class deeply touched him and injected new stimulants into his mind. Reading is not only to get rid of personal difficulties, but to save the suffering people in China; Reading is not only to find a way for individuals, but to seek new life for the Chinese nation. That night, Su Buqing tossed and turned, sleepless all night. Under the influence of Teacher Yang, Su Buqing's interest shifted from literature to mathematics, and from then on, he set the motto "Never forget to save the country by reading, and never forget to study by saving the country". Being fascinated by mathematics, whether it's hot summer in the middle of winter or frosty morning and snowy night, Su Buqing only knows reading, thinking, solving problems and calculating, and has calculated tens of thousands of mathematical exercises in four years. Now Wenzhou No.1 Middle School (that is, the provincial No.1 Middle School at that time) still treasures a geometry exercise book of Su Buqing, which is written with a brush and is well-crafted. When he graduated from high school, Su Buqing scored above 9 in all subjects.
at the age of p>17, Su Buqing went to Japan to study, and won the first place in Tokyo Higher Institute of Technology, where he studied eagerly. The belief of winning glory for our country drove Su Buqing to enter the research field of mathematics earlier. While completing his studies, he wrote more than 3 papers, made remarkable achievements in differential geometry, and obtained a doctorate in science in 1931. Before receiving his Ph.D., Su Buqing had been a lecturer in the Department of Mathematics of Imperial University of Japan. Just as a Japanese university was preparing to hire him as a well-paid associate professor, Su Buqing decided to return to China to teach at his ancestors who raised him. Back in Su Buqing, a professor at Zhejiang University, life was very hard. In the face of difficulties, Su Buqing's answer is, "Suffering is nothing, I am willing, because I have chosen a correct road, which is a patriotic and bright road!"
This is the patriotic heart of the older generation of mathematicians.