The Tale of Gauss, a Mathematical Genius (C.F.Gauss,.4.3-.2.23), a German mathematician, physicist and astronomer, was born in a poor family in zwick, Germany. His father, Gerhard Di Derrych, worked as a dike protector, a mason and a gardener, and his first wife died of illness after living with him for more than 1 years, leaving him no children. In the second year, their child Gauss was born, which was their only child. His father was very strict with Gauss, even a little excessive, and he often liked to plan his life for the young Gauss based on his own experience. Gauss respected his father and inherited his father's honest and cautious character. When Derrych died in 1999, Gauss had made many epoch-making achievements. Gauss's childhood mainly focused on his mother and uncle. Gauss's grandfather was a stonemason who died of tuberculosis at the age of 3, leaving two children: Gauss's mother Luo Jieya and his uncle Flieder Rich. Flieder Rich was intelligent, enthusiastic, intelligent and capable, and devoted himself to textile trade. He found his sister's son clever and clever, so he spent part of his energy on this little genius. Gauss's intelligence in a lively way. A few years later, Gauss, who has become an adult and made outstanding achievements, recalled what his uncle had done for him and felt deeply important for his success. He thought of his uncle's prolific thought and said sadly that "we lost a genius" because of his uncle's death. It was precisely because Flieder Richie had an eye for talents and often persuaded his brother-in-law to let his children develop into scholars that Gauss did not become a gardener or a mason. In the history of mathematics, Few people are as lucky as Gauss to have a mother who supports him to become a talent. Luo Jieya didn't get married until he was 34 years old, and he was 35 years old when he gave birth to Gauss. He was strong, intelligent and wise, and had a sense of humor. Since he was born, Gauss was very curious about all phenomena and things, and he was determined to get to the bottom of it, which was beyond the scope of a child's permission. When her husband reprimanded the child for this, he always supported Gauss. Resolutely oppose the stubborn husband who wants to make his son as ignorant as he is. Luo Jieya sincerely hopes that his son can do a great career, and cherishes Gauss's talent. However, he dare not easily put his son into the mathematical research that can't support his family at the time of fashion. At the age of 19, although Gauss has made many great achievements in mathematics, she still asked her friend W.Bolyai (J., one of the founders of non-European geometry) W. Bolyai said that her son would be "the greatest mathematician in Europe", so she was so excited that tears welled up in her eyes. At the age of 7, Gauss went to school for the first time. There was nothing special in the first two years. At the age of 1, Gauss entered the class of studying mathematics, which was the first time. Children had never heard of such a course as arithmetic before. The math teacher was Buttner. He also played a certain role in the growth of Gauss. A story widely circulated all over the world said that Gauss worked out the arithmetic problem of adding up all integers from 1 to 1 given by Butner when he was 1 years old. Just after Butner described the topic, Gauss worked out the correct answer. However, this is probably an untrue legend. According to the research of the famous mathematical historian E·T· Bell who has studied Gauss, Butner gave the children a more difficult addition problem at that time:++…+.Of course, it was also a summation problem of arithmetic progression (the tolerance was, and the number of items was). As soon as Butner finished writing, Gauss also finished the calculation and handed in the small slate with the answer. E·T· Bell wrote that Gauss often liked to talk about it to people in his later years, saying that only his answer was correct at that time. What method did he use to solve this problem so quickly? Mathematical historians tend to think that Gauss had mastered the method of arithmetic progression's summation at that time. It is unusual for a child who is only 1 years old to find this mathematical method. The historical facts described by Bell according to Gauss's own statement in his later years should be more credible. Moreover, this can better reflect the characteristics that Gauss paid attention to grasping more essential mathematical methods since he was a child. Gauss's computing ability, More importantly, Gauss's unique mathematical method and extraordinary creativity made Butner sit up and take notice of him. He specially gave Gauss the best arithmetic book from Hamburg, saying, "You have surpassed me, and I have nothing to teach you." Then, Gauss established a sincere friendship with Buttner's assistant J.M.Bartels until his death. They studied together and helped each other, and Gauss began. The 11-year-old Gauss entered the liberal arts school. In his new school, all his lessons were excellent, especially classical literature and mathematics. After the recommendation of Hans and others, the Duke of zwick summoned the 14-year-old Gauss. This simple, intelligent but poor child won the sympathy of the Duke, who generously offered to be Gauss's patron. Let him continue his studies. Duke zwick of Bren played an important role in the process of Gauss's success. Moreover, this role actually reflected a model of modern European scientific development, indicating that private funding was one of the important driving factors for scientific development before the socialization of scientific research. Gauss was in the transition period of private funding and socialization of scientific research. In, Gauss entered Caroline College in Bren zwick to continue his studies. The Duke paid all kinds of expenses for him and sent him to the famous German family in G? ttingen, which enabled Gauss to study diligently and start creative research according to his own ideals. In, Gauss finished his doctoral thesis and returned to his hometown of Bren zwick, just as he fell ill for his future and livelihood worries-although his doctoral thesis was successfully passed, he was awarded a doctorate and obtained a lecturer position at the same time, he failed to attract students. So I had to go back to my hometown-the duke reached out to help him again. The duke paid for the printing of Gauss's long doctoral thesis, gave him a building, and printed Arithmetic Research for him, which enabled the book to be published in. He also paid for all the living expenses of Gauss. All this made Gauss very moved. In his doctoral thesis and Arithmetic Research, he wrote sincere dedication words: "To the Grand Duke", "Your kindness freed me from all my troubles and enabled me to engage in this unique research". In, the Duke was unfortunately killed while resisting the French army commanded by Napoleon, which gave Gauss a heavy blow. He was heartbroken. I have a deep hostility towards the French for a long time. The death of Dagong brought economic difficulties to Gauss, the misfortune of Germany being enslaved by the French army, and the death of his first wife, all of which made Gauss somewhat disheartened, but he was a strong man and never revealed his embarrassment to others. Nor let friends comfort their misfortunes. People only learned about his state of mind when sorting out his unpublished mathematical manuscripts in the 19th century. In an essay on elliptic functions, a subtle pencil word was suddenly inserted: "For me, it is better to die than to live like this." The generous and kind patron died, so Gauss had to find a suitable job. To maintain the livelihood of his family. Because of Gauss's outstanding work in astronomy and mathematics, his reputation has spread all over Europe since. The Petersburg Academy of Sciences has constantly hinted that since Euler's death in, Euler's position in the Petersburg Academy of Sciences has been waiting for a genius like Gauss. The Duke resolutely discouraged Gauss from going when he was alive, and he was even willing to increase his salary and set up an observatory for him. Now, Gauss is faced with new choices in his life. In order not to make Germany lose its greatest genius, the famous German scholar B.A.on Humboldt joined other scholars and politicians to win the privileged positions of professor of mathematics and astronomy at the University of Gottingen and director of the Gothingen Observatory for Gauss. In, Gauss took office in Gottingen and his family moved here. From then on, except for one time to attend a scientific conference in Berlin. He has been living in G? ttingen. The efforts of Humboldt and others not only make the Gauss family have a comfortable living environment, but also give full play to his genius, and create conditions for the establishment of the G? ttingen School of Mathematics and Germany to become a world science center and mathematics center. At the same time, this also marks a good beginning for the socialization of scientific research. Gauss's academic status, People always hold him in high esteem. He has the reputation of "Prince of Mathematics" and "King of Mathematicians", and is considered as "one of the three (or four) greatest mathematicians in human history" (Archimedes, Newton, Gauss or Euler). People also praise Gauss as "the pride of human beings". He is a genius, precocious, prolific, and creative, and …………………………………………………………………………………………………………………………… Throughout all fields of pure mathematics and applied mathematics, he has opened up many new fields of mathematics, from the most abstract algebraic number theory to intrinsic geometry, leaving his footprints. He is the backbone of the 18th-19th century in terms of research style, methods and even concrete achievements. If we imagine the 18th-century mathematicians as a series of mountains, the last awe-inspiring peak is Gauss. If mathematicians in the 19th century are imagined as rivers, then their source is Gauss. Although mathematical research and scientific work have not become enviable occupations at the end of 18th century, Gauss is still born at the right time, because the development of European capitalism makes all countries pay attention to scientific research. With Napoleon's attention to French scientists and scientific research, The czar and many monarchs in Europe also began to take notice of scientists and scientific research, and the socialization of scientific research was accelerating, and the status of science was constantly improving. As the greatest scientist at that time, Gauss won many honors, and many world-famous scientific leaders regarded Gauss as their teacher. In, Gauss was elected as a communication academician and a professor at Kazan University by Petersburg Academy of Sciences. In, Denmark appointed him as a scientific consultant, and in this year, Hanover, Germany also hired him as a scientific consultant. Gauss's life is a typical scholar's life. He has always maintained the frugality of a farmer, making it hard to imagine that he is a great professor and the greatest mathematician in the world. He has been married twice and several children have annoyed him. However, these have little influence on his scientific creation. After gaining a high reputation and German mathematics, A generation of tianjiao has completed the journey of life. I will rebel against my fate whenever I have the chance-Beethoven ludwig van beethoven (-), a great German composer and one of the representatives of Vienna Classical Music School. Beethoven was born in Bonn, a small town not far from France on the Rhine River, on December 16th, 1998. His grandfather was the music director of the Bonn court orchestra and his father was a court tenor. Beethoven has shown his musical talent since childhood. His father was eager to train him to be a prodigy like Mozart. He was forced to learn piano and violin from an early age. At the age of eight, he began to perform in concerts and tried to compose music. However, his music education during this period has always been very messy and unsystematic. At the age of twelve, he was able to play freely. Moreover, he served as the assistant of organist Nie Fei (-). At this time, he began to formally study music with Nie Fei. Nie Fei is a musician with many talents. He expanded Beethoven's artistic vision, familiarized him with some excellent examples of German classical art, and consolidated Beethoven's understanding of lofty goals. Beethoven's formal study and systematic upbringing, In fact, it started with Nie Fei's careful teaching and training: Nie Fei also led him to teach Mozart in Vienna in. After listening to his performance, Mozart predicted that Beethoven would shake the world one day. Beethoven soon received the news of his mother's death in Vienna, and he had to rush back to Bonn immediately. Due to the family's drag, he didn't come to Vienna for the second time until his father died in. But Mozart is no longer alive at this moment. After Beethoven came to Vienna for the second time, he quickly won the title of the most outstanding performer (especially improvisation) in Vienna. Later, he studied with Haydn first, and then with Schenk, Abliesberg and Salieri. Through his association with the intellectual Breinen in Bonn, he came into contact with many famous professors, writers and musicians at that time, and from them, he was influenced by \. His thoughts were mature a few years before the French Revolution, but they grew especially rapidly in the revolutionary years. The progressive ideology of the French bourgeois revolution in 199 inspired him a lot, thus laying the curtain for his humanistic world? -Believing that human beings are equal, pursuing justice and individuality, and hating feudal autocracy. Although the three famous composers in the Vienna Classical Music School lived in similar times, Beethoven's thoughts obviously did not belong to the same "era" as Haydn and Mozart. Haydn suffered a lot in his life, and although he was occasionally angered, he always resigned himself to it. At that time, progressive literary thoughts and revolutionary emotions rarely excited him. His music struggle is always insulated. Mozart's mental suffering is no less than Haydn's. He is brave in resistance and would rather be poor than insulted by the archbishop. However, in his music, from behind the joy full of sunshine and youthful vitality, a trace of pain, melancholy and sadness can often be felt. Only Beethoven, he not only angrily opposed the autocracy of feudal system, Moreover, he used his music to call people to fight for happiness. Beethoven's creations in Bonn (-) were mostly small piano music, ensemble music and music, which can be said that he was still in the preparatory stage of creation. His first ten years in Vienna (-) were only famous works such as Sorrow, Moonlight, Croce Sonata and Piano Concerto No.3. He has a better understanding of society and other problems, and he can also realize the goal he is trying to explore.-In, his creation entered a mature period, which later became his \ "heroic age \". The mature process of Beethoven's creative activities appeared to be quite slow, but in fact it was very stable. He began to write his first symphony when he was thirty years old. At this age, Mozart had written about forty symphonies. Beethoven began to feel his hearing was getting weaker and weaker, but he didn't tell his friends about it until he was sure that his ear disease was incurable. However, his love for art and life overcame his personal pain and despair-suffering became the source of his creative power. At the peak of such a spiritual crisis, He began to write his optimistic Heroic Symphony. Heroic Symphony marked the turning point of Beethoven's spirit, and also marked the beginning of his \ "Heroic Age \". Beethoven's later stage in Vienna was temporarily suspended because Europe was experiencing a serious reactionary period, that is, the period when metternich's reactionary rule was particularly rampant.