I really don't want to skip a grade
Chapter 293 How to Deeply Understand the Soul of Mathematics
Chapter 293 How to Deeply Understand the Soul of Mathematics
Xiao Dong really wanted to make some serious achievements in mathematics, he really made up his mind!
However, this enthusiasm was almost exhausted after six days.
In the past six days, he has studied the algorithm problem of courier delivery route selection for two days, Zhou's conjecture for two days, and Jacobi's conjecture for two days. After finding that he has no breakthrough ideas, he suddenly feels a little discouraged. .
He began to wonder if he really didn't have any mathematical talent. Strong mental strength does not mean strong mathematical talent. Maybe his little mathematical ability is just the ability to solve general mathematical problems?
Really want to challenge real math problems but lack such inspiration and talent?
On the second floor of the sage space villa, watching the sunset, Xiao Dong threw aside dozens of sheets of paper filled with messy formulas and numbers, scratching his head irritably, and felt somewhat uneasy about giving up mathematics and physics. It's so boring and painful for human beings to torture their own thoughts and challenge their thinking limits!
Li Yishu sat quietly and glanced at Xiao Dong, then at Du Chen and Chen Xuejun who came up to the second floor to relax, did not speak, and continued to practice painting.
She now has a Mocha card, and she plans to use this Mocha card for painting, so she has decided to make some achievements in painting.
Of course, painting is not only about painting skills, but more about a kind of thought, a kind of emotional intelligence and unique aesthetic vision and taste. She has made remarkable achievements in painting, but she is confident that with the help of Mokeka, she can make some achievements in painting.
She is still very confident in her own aesthetic thoughts, vision and taste.
Of course, in her heart, painting and writing will only be her two hobbies and "side jobs" and will not be her main occupation.
Her main career, she originally decided to develop in the field of diplomacy, but now due to some vague psychology and factors of her own, she is a little hesitant to engage in diplomatic work in the future.
Running around the world as a girl?Stay abroad for a long time?
Can't decide where I will be today?Where will you be tomorrow?
She suddenly became a little jealous of such a life, no, now she suddenly wants to live a more free life, at least she can decide when and where she can stay quietly, and who to stay with , instead of letting others send her in various ways and stay abroad for a long time...
Du Chen came over and took a quiet look at Li Yishu's painting, and frowned, because the painting on it was a boy who looked like Xiao Dong, but it wasn't Xiao Dong. He took another look at Xiao Dong from a distance of two or three meters. The formulas that Dong wrote on the paper curled his lips imperceptibly, and walked downstairs.
He and Chen Xuejun are no longer studying improvements in the control of micro-UAVs. At present, they have developed a controller that can control four micro-UAVs at the same time. Under the current conditions, this is almost the limit. It's basically enough in combat.
Now he and Chen Xuejun have started studying mathematics and physics again.
Chen Xuejun did not go downstairs with Du Chen, and now his situation is a little delicate and awkward. On the one hand is his younger brother Du Chen who is more like-minded, and on the other is his younger brother Xiao Dong who he has to admire and respect in many ways. People are obviously a little awkward right now, and the reasons for this awkwardness are hard to explain and difficult to persuade, so it is really somewhat embarrassing for him to be caught in the middle.
He first went to Li Yishu's side to look at her paintings, smiled and praised her, then went to pick up Xiao Dong's stack of papers full of messy calculations and numbers to look through, slightly raised his eyebrows in surprise Take a moment: "Zhou's conjecture? Jacobi's conjecture? Brother Xiao, with all due respect, to solve this level of mathematical problems, it is impossible without a very deep mathematical foundation. Even having a deep mathematical foundation is not enough. A very deep and unique mathematical thought, a very sensitive and unique mathematical sense of smell! Is it too early for you to delve into such a worldwide mathematical problem?"
Xiao Dong smiled wryly and said: "Senior Brother Chen, it's okay to say that this profound mathematical foundation is hard to say, and there will always be a day when it can be achieved, but this deep and unique mathematical thinking, this sensitive and unique mathematical sense of smell, it seems that it is not just You can achieve it with a little bit of hard work, right? Why don’t Senior Brother Chen pull it out a little bit?”
Chen Xuejun could only smile wryly: "These two things are really hard to say..., ahem, to be honest, this really seems to be a talent, but, Junior Brother Xiao, you have to delve into Zhou's conjecture in the first semester of your freshman year." For a world-wide mathematical problem like Jacobi's conjecture, I'm afraid you don't have enough math skills? Even if you really have a talent for mathematics, it's okay if you don't have enough math skills?
This is like a teenage child who is about to practice a peerless martial art. This is not a question of whether the talent for martial arts is enough, but a question of whether the basic skills have been accumulated enough. "
What Xiao Dong heard from Chen Xuejun made sense, but now he doesn't want to study for the sake of learning, he wants to delve into something purposefully with problems and needs.
After thinking about it, he asked Chen Xuejun: "Brother Chen, I want to take these two conjectures to study number theory and other things, but in terms of cultivating mathematical thinking and mathematical smell, what good way do you have?" ?”
Chen Xuejun scratched his head and laughed dryly: "I can't say for sure, but I think we should read the history of mathematics and the biographies of great mathematicians such as Archimedes, Newton, Euler, and Gauss to cultivate some knowledge. A strong interest in mathematics should still be right? Maybe you can find some unique feelings about mathematics in reading these books?"
After Chen Xuejun finished speaking, he stood for a moment and went downstairs. He also had a lot of problems to delve into.
Xiao Dong fell into deep thought after listening to Chen Xuejun's words. To be honest, he hadn't really studied the history of mathematics, let alone read a biography of Euler and other great mathematicians. He always felt that the lives of these mathematicians were certain. It's boring. What's there to read?
But or, to study the history of mathematics well, to have a deep understanding of the development track and context of mathematics from ancient times to the present, to understand the origin of various branches of mathematics and the origins between them, maybe it will really help him to truly understand mathematics?
Study the biographies of great mathematicians such as Newton, Leibniz, Euler, etc., and truly understand the spiritual world of these people. Maybe it will really help him capture the soul of mathematics?
The light upstairs was getting darker and darker. Li Yishu, who had already put down his paintbrush and sat quietly, looked at Xiao Dong and said softly: "Although I don't agree with you wanting to pursue a career in medicine, you have to study mathematics and physics so hard. , but I think you should have talent in mathematics and physics.
You may really just lack a real interest in and a real deep understanding of math and physics right now.
Brother Chen said that reading the history of mathematics and the biographies of various great mathematicians may really help you deepen your understanding and interest in mathematics.
Anyway, there is plenty of time now, if you feel bored in the sage space by yourself, can I accompany you? "
Xiao Dong listened and looked at Li Yishu with a peaceful face, his irritable mood calmed down, he hummed and said with a smile: "Brother Chen's suggestion may really be useful to me, I'll give it a try."
(End of this chapter)
Xiao Dong really wanted to make some serious achievements in mathematics, he really made up his mind!
However, this enthusiasm was almost exhausted after six days.
In the past six days, he has studied the algorithm problem of courier delivery route selection for two days, Zhou's conjecture for two days, and Jacobi's conjecture for two days. After finding that he has no breakthrough ideas, he suddenly feels a little discouraged. .
He began to wonder if he really didn't have any mathematical talent. Strong mental strength does not mean strong mathematical talent. Maybe his little mathematical ability is just the ability to solve general mathematical problems?
Really want to challenge real math problems but lack such inspiration and talent?
On the second floor of the sage space villa, watching the sunset, Xiao Dong threw aside dozens of sheets of paper filled with messy formulas and numbers, scratching his head irritably, and felt somewhat uneasy about giving up mathematics and physics. It's so boring and painful for human beings to torture their own thoughts and challenge their thinking limits!
Li Yishu sat quietly and glanced at Xiao Dong, then at Du Chen and Chen Xuejun who came up to the second floor to relax, did not speak, and continued to practice painting.
She now has a Mocha card, and she plans to use this Mocha card for painting, so she has decided to make some achievements in painting.
Of course, painting is not only about painting skills, but more about a kind of thought, a kind of emotional intelligence and unique aesthetic vision and taste. She has made remarkable achievements in painting, but she is confident that with the help of Mokeka, she can make some achievements in painting.
She is still very confident in her own aesthetic thoughts, vision and taste.
Of course, in her heart, painting and writing will only be her two hobbies and "side jobs" and will not be her main occupation.
Her main career, she originally decided to develop in the field of diplomacy, but now due to some vague psychology and factors of her own, she is a little hesitant to engage in diplomatic work in the future.
Running around the world as a girl?Stay abroad for a long time?
Can't decide where I will be today?Where will you be tomorrow?
She suddenly became a little jealous of such a life, no, now she suddenly wants to live a more free life, at least she can decide when and where she can stay quietly, and who to stay with , instead of letting others send her in various ways and stay abroad for a long time...
Du Chen came over and took a quiet look at Li Yishu's painting, and frowned, because the painting on it was a boy who looked like Xiao Dong, but it wasn't Xiao Dong. He took another look at Xiao Dong from a distance of two or three meters. The formulas that Dong wrote on the paper curled his lips imperceptibly, and walked downstairs.
He and Chen Xuejun are no longer studying improvements in the control of micro-UAVs. At present, they have developed a controller that can control four micro-UAVs at the same time. Under the current conditions, this is almost the limit. It's basically enough in combat.
Now he and Chen Xuejun have started studying mathematics and physics again.
Chen Xuejun did not go downstairs with Du Chen, and now his situation is a little delicate and awkward. On the one hand is his younger brother Du Chen who is more like-minded, and on the other is his younger brother Xiao Dong who he has to admire and respect in many ways. People are obviously a little awkward right now, and the reasons for this awkwardness are hard to explain and difficult to persuade, so it is really somewhat embarrassing for him to be caught in the middle.
He first went to Li Yishu's side to look at her paintings, smiled and praised her, then went to pick up Xiao Dong's stack of papers full of messy calculations and numbers to look through, slightly raised his eyebrows in surprise Take a moment: "Zhou's conjecture? Jacobi's conjecture? Brother Xiao, with all due respect, to solve this level of mathematical problems, it is impossible without a very deep mathematical foundation. Even having a deep mathematical foundation is not enough. A very deep and unique mathematical thought, a very sensitive and unique mathematical sense of smell! Is it too early for you to delve into such a worldwide mathematical problem?"
Xiao Dong smiled wryly and said: "Senior Brother Chen, it's okay to say that this profound mathematical foundation is hard to say, and there will always be a day when it can be achieved, but this deep and unique mathematical thinking, this sensitive and unique mathematical sense of smell, it seems that it is not just You can achieve it with a little bit of hard work, right? Why don’t Senior Brother Chen pull it out a little bit?”
Chen Xuejun could only smile wryly: "These two things are really hard to say..., ahem, to be honest, this really seems to be a talent, but, Junior Brother Xiao, you have to delve into Zhou's conjecture in the first semester of your freshman year." For a world-wide mathematical problem like Jacobi's conjecture, I'm afraid you don't have enough math skills? Even if you really have a talent for mathematics, it's okay if you don't have enough math skills?
This is like a teenage child who is about to practice a peerless martial art. This is not a question of whether the talent for martial arts is enough, but a question of whether the basic skills have been accumulated enough. "
What Xiao Dong heard from Chen Xuejun made sense, but now he doesn't want to study for the sake of learning, he wants to delve into something purposefully with problems and needs.
After thinking about it, he asked Chen Xuejun: "Brother Chen, I want to take these two conjectures to study number theory and other things, but in terms of cultivating mathematical thinking and mathematical smell, what good way do you have?" ?”
Chen Xuejun scratched his head and laughed dryly: "I can't say for sure, but I think we should read the history of mathematics and the biographies of great mathematicians such as Archimedes, Newton, Euler, and Gauss to cultivate some knowledge. A strong interest in mathematics should still be right? Maybe you can find some unique feelings about mathematics in reading these books?"
After Chen Xuejun finished speaking, he stood for a moment and went downstairs. He also had a lot of problems to delve into.
Xiao Dong fell into deep thought after listening to Chen Xuejun's words. To be honest, he hadn't really studied the history of mathematics, let alone read a biography of Euler and other great mathematicians. He always felt that the lives of these mathematicians were certain. It's boring. What's there to read?
But or, to study the history of mathematics well, to have a deep understanding of the development track and context of mathematics from ancient times to the present, to understand the origin of various branches of mathematics and the origins between them, maybe it will really help him to truly understand mathematics?
Study the biographies of great mathematicians such as Newton, Leibniz, Euler, etc., and truly understand the spiritual world of these people. Maybe it will really help him capture the soul of mathematics?
The light upstairs was getting darker and darker. Li Yishu, who had already put down his paintbrush and sat quietly, looked at Xiao Dong and said softly: "Although I don't agree with you wanting to pursue a career in medicine, you have to study mathematics and physics so hard. , but I think you should have talent in mathematics and physics.
You may really just lack a real interest in and a real deep understanding of math and physics right now.
Brother Chen said that reading the history of mathematics and the biographies of various great mathematicians may really help you deepen your understanding and interest in mathematics.
Anyway, there is plenty of time now, if you feel bored in the sage space by yourself, can I accompany you? "
Xiao Dong listened and looked at Li Yishu with a peaceful face, his irritable mood calmed down, he hummed and said with a smile: "Brother Chen's suggestion may really be useful to me, I'll give it a try."
(End of this chapter)
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