Mathematics is moving forward freely along its own path, not because it has any license that is not bound by law, but because mathematics has a freedom that is determined by its essence and consistent with its existence.
Herman hankel
Geometry, theoretical arithmetic and algebra have no other principles except definition and axiom, and there is no other proof process except deduction, but in this process, simplicity, complexity, rigor and generality have been integrated, which is not available in other disciplines.
______Whewell，w
Mathematical knowledge has three main characteristics different from other knowledge: first, mathematical knowledge makes its results more real than other knowledge; Secondly, mathematical knowledge is the first step to acquire other correct knowledge. Third, the acquisition of mathematical knowledge does not depend on other knowledge.
_ _ _ _ _ Schubert, H.
Mathematicians don't care about statements or guesses. They just explain everything according to definitions and axioms, using argumentation and reasoning. In fact, it is not correct to call those theories established only by guessing or supposing as scientific things now, because guessing often relies on some viewpoints or opinions, so knowledge cannot be generated from them.
Thomas _ _ _ _ _ _ Reid
No subject can clarify the harmony of nature more clearly than mathematics.
Paul _ _ _ _ _ _ carus
Mathematics is the key to science. Ignoring mathematics will harm all knowledge, because people who ignore mathematics cannot understand any other science, even anything else in the world. What's more, a person who ignores mathematics can't understand his negligence, which will eventually lead to the inability to seek any remedial measures.
Roger, bacon
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 should show their views to mathematics, and then wait for the judgment of mathematics. Without mathematical recognition, laws can't work and theories can't be explained.
Benjamin pierce
History makes people wise, poetry witty, mathematics subtle, philosophy deep, morality grave, logic rhetoric able to contend.
Francis Bacon
The love of mathematics is growing day by day not only among us, but also in the army, which was fully reflected in the last battle. Bonepato himself has a good mathematical literacy. Of course, everyone who has studied mathematics cannot be required to be a geometer like Laplace and Lagrange, or a hero like Bonepato. However, mathematics has left its mark on their minds after all. This will enable them to make more contributions than those who have no math training.
_ _ _ _ _ _ Lalander
Studying mathematics is to explore the mysteries of the universe. As we all know, the laws of planets and strata, 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, repeating the story of how things mutate into existence. Mathematics concentrates and guides our energy, self-esteem and desire for knowledge, so as to live in God's big family. Just as literature induces people's emotion and understanding, mathematics stimulates people's imagination and reasoning ability.
_ _ _ _ _ _ _ Justice, 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 Vesta (this expansion is bolder than any discipline recorded in the history of philosophy). In fact, mathematics is not only an indispensable tool for all disciplines, but also can fly freely without considering the constraints of intuition. Historically, mathematics has never shown the supremacy of pure reasoning as it does today.
_ _ _ _ _ _ _ Butler, Nicholas Murray
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The epitaph of a mathematician
Some mathematicians devoted themselves to mathematics before their death, and after their death, they carved symbols representing their life achievements on tombstones.
Archimedes, an ancient Greek scholar, died at the hands of Roman enemy soldiers who attacked Sicily. ), people carved the figure of the ball in the cylinder on his tombstone to commemorate his discovery that the volume and surface area of the ball are two-thirds of that of the circumscribed cylinder. After discovering the regular practice of regular heptagon, German mathematician Gauss gave up the original intention of studying literature, devoted himself to mathematics, and even made many great contributions to mathematics. Even in his will, he suggested building a tombstone with a regular 17 prism as the base.
/kloc-Rudolph, a German mathematician in the 6th century, spent his whole life calculating pi to 35 decimal places, which was later called Rudolph number. After his death, someone else 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 carved on the tombstone, and the inscription also read: "Although I have changed, I am the same as before." This is a pun, which not only describes the essence of spiral, but also symbolizes his love for mathematics.
The mathematician's story-Su 1902 was born in a mountain village in Pingyang County, Zhejiang Province in September. Although the family is poor, his parents scrimp and save, and they have to work hard to pay for his education. When he was in junior high school, he was not interested in mathematics. He thinks mathematics is too simple, and he will understand it as soon as he learns it. It can be measured that a later math class influenced his life.
That was when Su was in the third grade. He was studying in No.60 Middle School in Zhejiang Province. Teacher Yang teaches mathematics. He has just returned from studying in Tokyo. 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, the world powers rely on their ships to build guns and gain benefits, and all want to eat and carve up China. The danger of China's national subjugation and extinction is imminent, so we must revitalize science, develop industry and save the nation. Every student here has a responsibility to' rise and fall in the world'. " He quoted 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 country and survive, we must revitalize science. Mathematics is the pioneer of science. In order to develop science, we must learn math well. "I don't know how many lessons Sue took in her life, but this lesson will never be forgotten.
Teacher 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 out for individuals, but to seek a new life for the Chinese nation. That night, Sue tossed and turned and stayed up all night. Under the influence of Teacher Yang, Su's interest shifted from literature to mathematics, and since then, she has set the motto "Never forget to save the country when reading, and never forget to save the country when reading". I am fascinated by mathematics. No matter it is the heat of winter or the snowy night in first frost, Sue only knows reading, thinking, solving problems and calculating, and has worked out tens of thousands of math exercises in four years. Now Wenzhou No.1 Middle School (that is, the provincial No.10 Middle School at that time) still treasures a Su's geometry exercise book, which is written with a brush and has fine workmanship. When I graduated from high school, my grades in all subjects were above 90.
/kloc-At the age of 0/7, Su went to Japan to study, and won the first place in Tokyo Technical School, where she studied eagerly. The belief of winning glory for our country drove Su to enter the field of mathematics research earlier. At the same time, he has written more than 30 papers, and made great achievements in differential geometry, and obtained the doctor of science degree in 193 1. Before receiving her doctorate, Su was a lecturer in the Department of Mathematics of Imperial University of Japan. Just as a Japanese university was preparing to hire him as an associate professor with a high salary, Su decided to return to China to teach with his ancestors. After the professor of Zhejiang University returned to Suzhou, his life was very hard. In the face of difficulties, Su's answer is, "Suffering is nothing, I am willing, because I have chosen the right road, which is a patriotic and bright road!" "
This is the patriotism of the older generation of mathematicians.