"Chen Ping endured humiliation and studied hard" Chen Ping, a famous prime minister in the Western Han Dynasty, was poor when he was young, and he and his brother depended on each other. In order to uphold his father's destiny and shine in the family, he did not engage in production and studied behind closed doors, but his sister-in-law did not tolerate him. In order to eliminate the conflict between brother and sister-in-law, he endured repeated humiliation. As the sister-in-law worsened, she finally couldn't bear it anymore and ran away from home. She wanted to wander around the world. After being chased back by her brother, she ignored the past grudges and stopped her brother from divorcing his sister-in-law. It is said to be a good talk. Finally, there was an old man who came here because of his reputation and accepted apprenticeships for free. After completing his studies, he assisted Liu Bang and achieved great success. "Lu Yu Abandons Buddhism and Follows Literature" Lu Yu, a famous scholar in the Tang Dynasty, was an orphan since he was a child and was raised by Zen Master Zhiji. Although Lu Yu was in the temple, he did not want to chant sutras and chant Buddha's name all day long. Instead, he liked to read poems and books. Lu Yu insisted on going down the mountain to study, but was opposed by the Zen master. In order to pose a problem to Lu Yu and educate him better, the Zen master asked him to learn how to make tea. In the process of studying tea art, Lu Yu met a kind-hearted old woman and not only learned the complicated tea-making skills, but also learned many principles of reading and life. When Lu Yu finally brought a cup of steaming Kuding tea to the Zen master, the Zen master finally agreed to his request to go down the mountain to study. Later, Lu Yu wrote the widely circulated "Tea Classic" and carried forward the tea culture of the motherland! "Young Bao Zheng Learns to Solve Cases" Bao Zheng and Bao Qingtian are smart since childhood, studious and inquisitive, and especially like to reason and solve cases. His father has close contacts with the county magistrate. Bao Zheng has been exposed to it since he was a child, and has learned a lot of knowledge about solving cases, especially in the Temple Burning Massacre. In the case of the monk, Bao Zheng peeled off the cocoon and extracted the silk based on the clues at the scene. After identifying the criminal suspect, he pretended to be the King of Hell to find out the truth, assisted the county magistrate to arrest the murderer, and eliminated harm for the people. He worked hard to learn legal and criminal knowledge, laying a solid foundation of knowledge for when he grew up, he would be able to resolve cases like a god and redress justice for the people. "Wan Sitong Studying Hard Behind Closed Doors" Wan Sitong, a famous scholar and historian in the early Qing Dynasty, participated in the compilation of the important history book "Twenty-Four Histories" of our country. But Wan Sitong was also a naughty child when he was young. Wan Sitong lost face in front of the guests because of his playfulness, and was criticized by the guests. In anger, Wan Sitong overturned the tables of the guests and was locked in the study room by his father. Wan Sitong went from being angry and hating reading to shutting himself up and thinking about his mistakes. He was inspired by the "Tea" and began to study hard. More than a year later, Wan Sitong read many books in the bookstore. His father forgave his son, and Wan Sitong also understood his father's good intentions. After a long period of diligent study, Wan Sitong finally became a famous scholar who was familiar with history and read many books. He also participated in the compilation of "History of Ming Dynasty" in "Twenty-Four Histories". "Tang Bohu devoted himself to studying painting" Tang Bohu was a famous painter and writer in the Ming Dynasty. He showed superhuman talent in painting when he was a child. Tang Bohu became a disciple of the great painter Shen Zhou. Naturally, he studied harder and more diligently. He mastered painting skills quickly and was highly praised by Shen Zhou. Unexpectedly, due to Shen Zhou's praise, Tang Bohu, who had always been modest, gradually became complacent. Shen Zhou saw it in his eyes and remembered it in his heart. During a meal, Shen Zhou asked Tang Bohu to open the window. Tang Bohu found that the window under his hand was actually Tang Bohu was very ashamed of a painting by his teacher Shen Zhou, and devoted himself to learning painting from then on. "Lin Zexu's Couplet on Determination" This story tells the story of Lin Ze, a famous national hero in the Qing Dynasty. Lin Zexu was talented when he was a child. He composed two couplets on two occasions. These two couplets expressed Lin Zexu's lofty ambitions. Lin Zexu not only had the courage to aspire, but also studied hard. When he grew up, he achieved great success and was admired by future generations. "Wen Tianxiang's Youthful Uprightness" Wen Tianxiang, a famous national hero in the late Southern Song Dynasty, lived in poverty when he was a teenager. Only with the help of kind people did he have the opportunity to study. Once, Wen Tianxiang was misunderstood as a thief by a wealthy classmate. He argued hard and refused to allow others to trample on his dignity. He finally proved his innocence. Through this incident, Wen Tianxiang further established his ambition to be named on the gold list. "Ye Tianshi Apprentices to a Disciple and Learns from Him" ??Ye Tianshi relies on his superb medical skills and looks down on his colleague Xue Xue. Once, Ye Tianshi's mother was ill and he was helpless. Thanks to Xue Xue, he cured his mother's illness regardless of past suspicions. From then on, Ye Tianshi understood the truth that there is heaven outside the sky and there are people above human beings. So he searched for famous doctors all over the world and asked for advice humbly, and finally became the real first famous doctor in Jiangnan. "Girl Lyrics by Li Qingzhao" The female poet Li Qingzhao of the Song Dynasty was quick in thinking and left many masterpieces throughout her life. She has a straightforward, free and uninhibited personality, and has shown extraordinary literary talent since she was a child. This story tells the story of her impromptu lyrics inspired by the scene.
"Yang Luchan Chenjiagou School" Yang Luchan was bullied by bullies in his hometown, and he was unwilling to be humiliated. A man left home and went to Chenjiagou to learn from his master. Boxer Chen Changxing never taught his boxing skills to outsiders, and Yang Luchan was no exception. However, Yang Luchan's persistence finally moved Chen Changxing, and he finally learned the boxing technique, punished the bully, and created Yang Style Tai Chi. "Wang Xianzhi Practices Calligraphy in a Urn" Wang Xianzhi, whose courtesy name is Zijing, is the seventh son of the great calligrapher of the Eastern Jin Dynasty, the sage Wang Xizhi. He himself was also a famous calligrapher in the Eastern Jin Dynasty. When Wang Xianzhi was three or four years old, his mother taught him to memorize and recite poems. By the time he was five or six years old, he was able to compose a poem and recite a few lines of poetry smoothly. Compared with his brother Wang Ningzhi, he is more alert and smarter, and he especially likes to practice calligraphy. There is a large water tank in Wang Xian's house. The story of this film is inseparable from this large water tank! "Zhu Yuanzhang Herds Cows and Reads" Zhu Yuanzhang, who was born as a cowherd boy, never even attended a private school since he was a child. However, he was extremely intelligent, diligent in learning and inquisitive, and finally became the founding emperor of the Ming Dynasty. "Liu Gongquan Becomes Famous by Guarding against Arrogance" Liu Gongquan has shown extraordinary talent in calligraphy since he was a child, and his handwriting is famous far and wide. He was also a little proud of it. However, one day he met an old man without hands and discovered that the old man could write better with his feet than with his hand. From then on, he always kept "guard against arrogance" in mind, practiced calligraphy diligently, and studied with an open mind, and finally became a great calligrapher. "Kuang Heng Chiseled Through the Wall to Steal Light" During the Western Han Dynasty, there was a particularly knowledgeable man named Kuang Heng. When Kuang Heng was a child, his family was poor. In order to study, he chiseled through the wall of his illiterate neighbor and stole the money. Reading by candlelight finally moved his illiterate neighbors. With everyone's help, little Kuangheng became successful in his studies. During the reign of Emperor Yuan of the Han Dynasty, recommended by Shi Gao, the Grand Sima and Chariot General, Kuang Heng was granted the title of doctor and became a doctor. "Qu Yuan Reading Hard in the Cave" This story tells that when Qu Yuan was a child, he hid in a cave to secretly read the Book of Songs, no matter it was windy, rainy or freezing, regardless of the objections of his elders. After three full years, he read 305 chapters of the Book of Songs, absorbed rich nutrition from these folk songs, and finally became a great poet. "Wang Shipeng studied calligraphy hard" Wang Shipeng was very smart and quick in writing since he was a child, but his calligraphy was not as good as expected. So, he made up his mind to practice calligraphy well. Finally, under the guidance of Uncle Baoyin, he finally realized the true meaning of calligraphy and became a great calligrapher and writer. "Wang Xizhi Eats Ink" Wang Xizhi, known as the "Sage of Calligraphy" by later generations, was a dull child when he was young. He took his beloved gosling around every day. Wang Xizhi practiced calligraphy hard every day, but was called a dead character by his teacher, Mrs. Wei. Wang Xizhi was very distressed. Inspired by Xiao Goose, Wang Xizhi wrote the golden character "Zhi" in the study, but accidentally ate the steamed bun dipped in ink. In the mouth, the story of Wang Xizhi eating ink was left behind. "Fan Zhongyan Breaks the Porridge and Draws Porridge" Fan Zhongyan grew up in a poor family. In order to study, he lived frugally. Finally, his diligence and studious moved the elders of the temple, and the elders sent him to study in Nandu Academy. Fan Zhongyan still adheres to a simple living habit and does not accept gifts from rich children in order to sharpen his will. After studying hard, he finally became a great writer. "Che Yin Nang Ying Zhao Du" Che Yin, courtesy name Wuzi, was born in Nanping (today's Gongan City, Hubei Province) in the Jin Dynasty. His family was poor since he was a child, but he studied very hard. The story of Che Yin Nang Ying Zhao Du was passed down in history. For the sake of beautiful talk, it inspires generations of scholars in future generations. What's going on with the reading of Nao Yingzhao? From this interesting story we are going to tell you, you will definitely understand. "Sima Guang Police Pillow Motivational" Sima Guang is a child who loves to play and sleep. For this reason, he was often punished by his teacher and ridiculed by his peers. Under his teacher's earnest instruction, he was determined to get rid of his bad habit of being a sleepy person. In order to have an early morning When he got up, he drank a full stomach of water before going to bed. As a result, he didn't wake up in the morning, but wet the bed. So the clever Sima Guang made a warning pillow out of garden wood. When he turned over in the morning, his head slipped on the bed board. Naturally, He woke up with a start, and from then on he got up early every day to study. With perseverance, he finally became a learned and great writer who wrote "Zi Zhi Tong Jian". "Zhang Sanfeng Creates Tai Chi" Zhang Sanfeng, also known as Quanyi, also known as Junshi, also known as Sanfeng, also known as Yuan Yuanzi, also known as Zhang Sloppy because of his unkempt appearance, was born in Yizhou, Liaodong (now southwest of Zhangwu, Liaoning), during the reign of Emperor Yingzong of the Ming Dynasty He was named the "Tongwei Manifestation Real Person". Legendary stories about him were widely circulated among the people at that time, and he was even regarded as a god.
We all know Tai Chi, right? The biggest characteristic of Tai Chi is that it is gentle yet strong! Do you know how Zhang Sanfeng created Tai Chi? This is exactly what this film is about. "Zhuge Liang Feeds the Chicken" Zhuge Liang, courtesy name Kongming, was born in Yangdu County, Langya County, Xuzhou during the Eastern Han Dynasty and the Three Kingdoms period. He was a famous politician and strategist in the history of our country. If you have watched "The Romance of the Three Kingdoms", you will definitely not forget Zhuge Liang. To this day, Zhuge Liang's wisdom has been praised by future generations, and many people even regard him as the embodiment of wisdom. But did you know that when Zhuge Liang was a child, some stories happened in order to go to school, which were very interesting! "Xuan Zang's Hard Study of Buddhism" Xuanzang was an eminent monk in the Tang Dynasty. In order to obtain the original text of Buddhist scriptures, Xuanzang left Chang'an in August of the third year of Zhenguan and traveled thousands of miles to the west to obtain scriptures. Finally, he arrived in India. It took seventeen years and he wrote "Xuan Zang". "The Records of the Western Regions of the Tang Dynasty" has made great contributions to Buddhism, human progress and world civilization. "Yue Fei's Learning" The national hero Yue Fei was born in troubled times, and his family was poor since childhood. With the support of his neighbors, he studied martial arts with Zhou Tong, a famous Shaanxi master. During this period, he witnessed the broken mountains and rivers and the displacement of the people. He developed the ambition to learn art to serve the country and overcame his pride. A feeling of complacency. After practicing hard in the cold and summer, under the careful guidance of the famous teacher Zhou Tong, I finally mastered Yuejia Qiang, and led Wang Gui, Tang Xian and other partners to join the patriotic torrent of fighting against gold and saving the country. "Beethoven Strives to Grow Up" The great composer Beethoven was unable to go to school due to family poverty when he was a child. After contracting typhoid and smallpox at the age of seventeen, lung disease, arthritis, yellow fever, conjunctivitis, etc. followed one after another. Twenty-six Unfortunately, he lost his hearing at the age of 18 and suffered repeated setbacks in love. Under such circumstances, Beethoven vowed to "strangle the throat of life." In his tenacious struggle with life, his will prevailed, and his fire of life burned more and more strongly in his music creation career. "Bill Gates, the Genius Boy Obsessed with Computers" Gates was born for computers, and he also brought computers into a beautiful new world... Gates became obsessed with computers after entering Lakeside Middle School, and he never had any intention of studying. In other classes, I spend time in the computing center every day. Starting in the 8th grade, he and his classmates helped others design simple computer programs to earn pocket money. Gates' good friend Paul Allen (who later founded Microsoft with Gates) recalled, "We often worked until midnight. We loved computer software work. We were really playing at that time. "Happy." Gates said, "At that time, Paul often pulled me up from the trash can, but I continued to lie there and refused to get up, because there I found some programmers with coffee grounds still on them. Notes or notes, and then we study the operating system together with these valuable information." When Gates was in the ninth grade, TRW engineers encountered problems when setting up the northwest power transmission network and were at a loss. At this time, they discovered a "Problem Report" from the Lakeside Middle School Computing Center, and called the two "error detection masters" (Gates and Allen) who produced the report on the spot, hoping that they could come. Help troubleshoot problems. But they never imagined that these two masters were only students in grades 9 and 10! "Newton's Later Years" However, due to the limitations of the times, Newton was basically a metaphysical mechanical materialist. He believes that motion is only mechanical motion, a change in spatial position; the universe, like the sun, has no development and change; relying on the action of gravity, stars are always in a fixed position... With the improvement of scientific reputation, Newton's political status also improved. In 1689, he was elected university representative in Parliament. As a member of Parliament, Newton gradually began to distance himself from the science that had brought him so much success. From time to time he expressed his distaste for the field he represented. At the same time, he spent a lot of time arguing about scientific priorities with famous scientists of his generation such as Hooke and Leibniz. In his later years, Newton lived a grand life in London. In 1705, he was made a peer by Queen Anne. Newton was very wealthy at this time and was generally regarded as the greatest living scientist. He served as President of the Royal Society, and during his twenty-four years he ruled the Society with an iron fist. No one can be elected without his consent. In his later years, Newton began to devote himself to the study of theology. He denied the guiding role of philosophy, believed in God devoutly, and devoted himself to writing books on theology. When he encountered the inexplicable movement of celestial bodies, he actually proposed the fallacy of "God's first driving force". He said, “God rules over all things, and we are His servants who fear and worship Him.”
On March 20, 1727, the great Isaac Newton passed away. Like many other distinguished Englishmen, he is buried in Westminster Abbey. His tombstone is engraved with: Let people hail such a great human glory once existed in the world. "Mathematical Genius - The Story of Gauss" Gauss (C.F. Gauss, 1777.4.30-1855.2.23) was a German mathematician, physicist and astronomer who was born in a poor family in Brunswick, Germany. His father, Gerchild Didrich, worked as a berm worker, a mason, and a gardener. His first wife died of illness after living with him for more than 10 years, leaving him no children. Diedrich later married Rodea, and the following year their child Gauss was born, their only child. His father was extremely strict with Gauss, even a little excessive. He often liked to plan the life of young Gauss based on his own experience. Gauss respected his father and inherited his father's honest and cautious character. When Diederich died in 1806, Gauss had already made many epoch-making achievements. Growing up, the young Gauss mainly relied on his mother and uncle. Gauss's maternal grandfather was a stonemason who died of tuberculosis at the age of 30. He left behind two children: Gauss's mother Rodea and uncle Friederich. Friedrich was wise, enthusiastic, smart and capable, and he devoted himself to the textile trade and made great achievements. He found that his sister's son was smart, so he spent part of his energy on this little genius and developed Gauss's intelligence in a lively way. Several years later, Gauss, who had grown up and achieved great success, recalled what his uncle had done for him and deeply felt the importance of his success. Thinking of his uncle's prolific thoughts, he said sadly that his uncle's death caused "we have lost something." A genius”. It was precisely because Friedrich had a keen 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 fully supported his success. Luo Tieya did not get married until she was 34 years old, and she was already 35 years old when she gave birth to Gauss. He has a strong character, is smart and virtuous, and has a sense of humor. Since birth, Gauss has been very curious about all phenomena and things, and is determined to get to the bottom of it, which is beyond the scope of what a child can allow. When her husband reprimanded the child for this, he always supported Gauss and firmly opposed the stubborn husband who wanted to make his son as ignorant as himself. Luo Jieya sincerely hopes that her son can do a great career and cherishes Gauss's talent very much. However, he did not dare to easily let his son invest in mathematics research that could not support his family at that time. When Gauss was 19 years old, even though he had made many great mathematical achievements, she still asked her friend W. Bolyai in the field of mathematics (W. Bolyai, one of the founders of non-Euclidean geometry). Father) asked: Will Gauss be successful in the future? W. Bolyo said that her son would be "the greatest mathematician in Europe" and she was so excited that she burst into tears. At the age of 7, Gauss went to school for the first time. The first two years were nothing special. In 1787, when Gauss was 10 years old, he entered a class to learn mathematics. This was a class that was first established. Children had never heard of arithmetic as a subject before. The mathematics teacher was Buttner, who also played a role in Gauss's growth. A story widely circulated around the world says that when Gauss was 10 years old, he calculated the arithmetic problem Butner gave his students to add up all the integers from 1 to 100. As soon as Butner finished narrating the problem, Gauss solved it. Correct answer. However, this is probably an untrue legend. According to the research of E.T. Bell, a famous mathematics historian who has studied Gauss, Butner gave the children a more difficult addition problem: 81297+81495+81693+...+100899. Of course, this is also a summation problem of an arithmetic sequence (the tolerance is 198 and the number of terms is 100). As soon as Butner finished writing, Gauss also finished the calculation and handed over the small slate with the answer. E.T. Bell wrote that Gauss often liked to talk about this matter to people in his later years, saying that only the answer he wrote was correct at that time, and the other children were wrong. Gauss did not explain clearly what method he used to solve this problem so quickly. Historians of mathematics tend to believe that Gauss had mastered the method of summing arithmetic sequences at that time. It is very unusual for a child as young as 10 years old to independently discover this mathematical method.
The historical facts narrated by Bell based on Gauss's own words in his later years should be relatively credible. Moreover, this better reflects the characteristic that Gauss paid attention to grasping more essential mathematical methods from an early age. Butner was impressed by Gauss's computing power, and more importantly, his unique mathematical methods and extraordinary creativity. He specially bought the best arithmetic book from Hamburg and gave it to Gauss, saying: "You have surpassed me, and I have nothing left to teach you." Then, Gauss established an alliance with Butner's assistant J.M. Bartels. A sincere friendship developed until Bartels' death. They studied together and helped each other, and Gauss began his real mathematical research. In 1788, the 11-year-old Gauss entered a liberal arts school. In the new school, he excelled in all his subjects, especially classical literature and mathematics. After being introduced by Bartels and others, the Duke of Brunswick summoned the 14-year-old Gauss. This simple, smart but poor child won the sympathy of the Duke, who generously offered to be Gauss's sponsor so that he could continue his studies. The Duke of Brunswick played a decisive role in Gauss's development. Not only that, this role actually reflects a pattern of modern scientific development in Europe, indicating that before the socialization of scientific research, private funding was one of the important driving factors for scientific development. Gauss was at a time of transition between private funding of scientific research and the socialization of scientific research. In 1792, Gauss entered the Caroline College in Brunswick to continue his studies. In 1795, the Duke paid various fees for him and sent him to the famous G?ttingen School in Germany. This enabled Gauss to study diligently and start creative research according to his own ideals. In 1799, Gauss completed his doctoral thesis and returned to his hometown of Brunswick. Just when he fell ill worried about his future and livelihood - although his doctoral thesis was successfully passed and he had been awarded a doctorate and at the same time received Lecturership, but he failed to attract students and so had to return to his hometown - and it was the Duke who came to his rescue again. The Duke paid for the printing of Gauss's long doctoral thesis, gave him an apartment, and printed "Arithmetic Research" for him, so that the book could be published in 1801; he also paid for all Gauss's living expenses. All this moved Gauss very much. In his doctoral thesis and "Arithmetic Research", he wrote a sincere dedication: "To the Grand Duke", "Your kindness freed me from all worries and enabled me to engage in this unique research." . In 1806, the Duke was unfortunately killed while resisting the French army commanded by Napoleon, which dealt a heavy blow to Gauss. He was devastated and had a deep and long-lasting hostility toward the French. The death of the Archduke brought financial constraints to Gauss, the misfortune of Germany being enslaved by the French army, and the death of his first wife made Gauss a little discouraged, but he was a strong man and never Disclose one's predicament to others, and do not allow friends to comfort one's misfortune. People only learned about his mentality at that time when his unpublished mathematical manuscripts were compiled in the 19th century. In an essay discussing elliptic functions, a tiny pencil line was suddenly inserted: "For me, death would be more bearable than this life." The generous and benevolent sponsor passed away, so Gauss had to find a A proper job to support the family. Due to Gauss's outstanding work in astronomy and mathematics, his reputation began to spread throughout Europe from 1802. The Petersburg Academy of Sciences kept hinting to him that since Euler's death in 1783, Euler's position in the Petersburg Academy of Sciences had been waiting for a genius like Gauss. When the Duke was still alive, he firmly discouraged Gauss from going to Russia. He was even willing to increase Gauss's salary and build an observatory for him. Now, Gauss faces new choices in his life. In order to prevent Germany from losing its greatest genius, the famous German scholar B.A. Von Humboldt teamed up with other scholars and political figures to obtain for Gauss the privileged position of professor of mathematics and astronomy at the University of G?ttingen and director of the G?ttingen Observatory. position. In 1807, Gauss went to G?ttingen to take up a job, and his family moved here. From this time on, except for a trip to Berlin to attend a scientific conference, he lived in G?ttingen. The efforts of Humboldt and others not only provided a comfortable living environment for the Gauss family and allowed Gauss himself to give full play to his genius, but also created conditions for the establishment of the G?ttingen School of Mathematics and for Germany to become a world center of science and mathematics. At the same time, this also marks a good start for the socialization of scientific research. Gauss's academic status has always been highly respected by people.
He is known as the "Prince of Mathematics" and the "King of Mathematicians" and is considered to be "one of the three (or four) greatest mathematicians" in human history (Archimedes, Newton, Gauss or plus Euler). People also praised Gauss as "the pride of mankind". Genius, precocity, high productivity, unfailing creativity..., almost all praises in the field of human intelligence are not exaggerated for Gauss. Gauss's research fields span all fields of pure mathematics and applied mathematics, and he has opened up many new fields of mathematics, from the most abstract algebraic number theory to intrinsic geometry, leaving his footprints. In terms of research style, methods and even specific achievements, he was a backbone figure at the turn of the 18th and 19th centuries. If we imagine the mathematicians of the 18th century as a series of mountains, then the last awe-inspiring peak is Gauss; if we imagine the mathematicians of the 19th century as a series of rivers, then their source is Gauss. Although mathematical research and scientific work still did not become enviable professions at the end of the 18th century, Gauss was still born at the right time, because when he was about to enter his thirties, the development of European capitalism made governments of all countries begin to pay attention to Scientific research. As Napoleon attached great importance to French scientists and scientific research, the Russian Tsar and many European monarchs also began to look at scientists and scientific research with admiration. The socialization process of scientific research continued to accelerate, and the status of science continued to improve. As the greatest scientist at that time, Gauss received many honors. Many world-famous scientific leaders regarded Gauss as their teacher. In 1802, Gauss was elected as a corresponding academician by the Russian Petersburg Academy of Sciences and a professor at Kazan University; in 1877, the Danish government appointed him as a scientific advisor. In this year, the Hannover government in Germany also hired him as a government scientific advisor. Gauss's life is the life of a typical scholar. He always maintained the simplicity of a farmer, making it difficult for people to imagine that he was a great professor and the greatest mathematician in the world. He was married twice and had several children that annoyed him. However, these had little impact on his scientific creation. After gaining a high reputation and German mathematics beginning to dominate the world, a generation of geniuses completed their life journey.