Chapter 12 After you get the medal, I will let you come back with revenge!
Although his mind was a little messy, when Qiao Yu sat down at the table and opened the book "Introduction to Riemannian Geometry", his mind immediately calmed down and he devoted himself to this book that he could not understand before. In a math book.
As for self-study, Qiao Yu actually has his own method, especially for foreign languages.
The former metaphor means listening more, memorizing more, and speaking more.
Buy foreign language comparison dictionaries online, sit in front of the computer, listen and read the lines in the movie over and over again, look up new words in the dictionary on the spot, and then memorize them. Take a look at grammar during the break.
Initially it might take a week or two to finish watching a movie.
Then the progress gradually accelerated. By the time a new foreign language movie could be watched in three hours, he had basically mastered the listening, reading and writing skills of a foreign language.
Mathematics is different.
In fact, Qiao Yu knew very early on that the reason why he found it more and more difficult to learn was that mathematics was a subject that required prerequisite knowledge. Therefore, when I reopened "Introduction to Riemannian Geometry" this time, I did not want to directly learn what was in it, but I needed to figure out what prerequisite knowledge he needed.
So Qiao Yu turned on the old computer at home. When he encountered a concept he didn't understand, he checked it online and marked it.
Half an hour later, there were dense records in the book.
Calculus, linear algebra, differential geometry, topology, and differential equations, especially differential equations on manifolds.
Of course, more details include multi-variable calculus, especially curves, integrals and derivatives on surfaces; linear algebra’s vector spaces, matrices, linear maps, eigenvectors, and other messy things.
The good news is that Qiao Yu has learned some bits and pieces of calculus and linear algebra some time ago, and they don't feel particularly difficult.
The bad news is that differential geometry, topology, and ordinary differential equations and partial differential equations have not been studied specifically. Even if you don't need to study so much now, you will definitely need to study if you really need to rely on math competitions to get into college in the future.
The worse news is that after roughly learning about it online, Qiao Yu found that none of these subjects seemed easy to deal with.
It would be great if he could pass the Mathematics Olympiad and earn a lot of money from school, and be recommended to Yanbei University to study foreign languages. Anyway, he just wants the diploma from Yanbei University...
Qiao Yu was having unbearable thoughts in his mind when the door was suddenly knocked twice and then pushed open. The next moment, Xia Keke's little head poked in.
“Brother Qiao, I’m here to tell you to go home.”
“Oh, then go home quickly!”
"Let me see how well you have learned?"
"Is it difficult to know high-end mathematics? How can you learn a flower in just half an hour?" Qiao Yu turned his head and said seriously , intending to look back and make excuses for his fear.
"Is that so?" Xia Keke answered, thought for a while, then got into the room and closed the door.
"What are you going to do?" Qiao Yu watched the little girl rushing over with vigilance, and quickly stood up, taking a defensive posture.
No one understands this little girl better than him. Underneath her innocent face, which is harmless to humans and animals, there is a heart that fears the world will not be in chaos. Although he was indeed naughty when he was a child, many bad ideas came from this little girl, but in the eyes of adults, he was the main culprit.
The room was just that big, and the next moment, Coco was standing next to him.
Qiao Yu is already 1.75 meters tall, but the little girl in front of him is only one forehead shorter than him. Then before Qiao Yu could react, the little girl suddenly stood up on tiptoes...
First there was a burst of aroma from the tip of her nose, and then there was a soft touch on her lips, with a hint of coolness, and it seemed a little sweet.
Fuck, it was too sudden...
I didn’t have time to use flash...
When Qiao Yu reacted, he only saw the bright eyes of the little girl opposite, staring at him with an expression that was half-smiling but not smiling.
He, a young man who was just fifteen years old, single and full of life, was taken advantage of like this?
Big loss! He suddenly wanted revenge!
"I know you are angry, but if you dare to talk back, I will call for help!" the little girl whispered confidently. "Shame!" Qiao Yu felt angry and cold, but did not say anything.
He is a recognized delinquent in his family's courtyard, while his opponent is an invincible beautiful girl with both good character and academic performance and a bright future. With the support of stereotypes, his opponent's public opinion advantage is too great.
"But, if you can really win the prize in the National Mathematical Olympiad, I will allow you to come back with revenge." The little girl whispered proudly.
"Coco, it's very late. I have to go home and sleep. I have to go to class tomorrow." The old man's voice came from outside the door.
"Okay, okay, I know!" The little girl responded loudly, then made a face at Qiao Yu, turned around quickly and rushed out.
As I walked out of the room, I could still hear the old man muttering outside the door that had just been closed: "It's not good for little girls to run into other boys' rooms."
"I know, I just said goodbye politely, Nao, you often taught me to be polite!"
He lost today, completely.
"Hey, why are your face so red all of a sudden?" The probing gaze of Qiao Xi, who was leaning on the sofa, made Qiao Yu slightly off guard.
“I’m blushing?”
“Go and look in the mirror, it’s no different from a monkey’s butt on Mount Emei.”
"Maybe it's because the weather is too hot. I'm going to brush my teeth first." Qiao Yu replied calmly, then rushed into the bathroom, stood in front of the sink mirror, and took a look. Sure enough, his face did look red. , very worthless.
Qiao Yu took a deep breath and picked up the toothbrush.
"What happened in the room just now?"
Qiao Yu turned his head, and Qiao Xi leaned crookedly in front of the bathroom door, with a gossipy look on his face.
"I just said goodbye, what else can I do? What did you talk about outside just now?" Qiao Yu felt a little guilty.
"Qiao Yu, something's wrong with you!" Qiao Xi suddenly said.
"Huh?" Qiao Yu was surprised.
“You never cared about what I talked about with Coco before!” The tone in which Qiao Xi said this reminded Qiao Yu of the classic line from the anime Detective Conan: “There is only one truth.”
Qiao Yu calmed herself down and replied calmly: "Does this mean anything?"
Then he started brushing his teeth step by step, and the blush on his face began to slowly fade away.
"Yeah, that's right."
Qiao Xi muttered to herself next to her, and then started talking to herself: "Actually, I didn't talk about much with Coco just now. She just kept asking that Teacher Lan. I told her a little bit about the home visit, and then I said that I don’t know if you will have a wife and forget about your mother when you become successful.
Keke said that she believed that you would definitely not, even if you are successful. You will really have no conscience in the future. She will do the same when she grows up. Take care of me. Look, this girl is so considerate, so different from you! By the way, the little girl just didn’t go into your room to play the trick of confessing to a little girl, right?” Qiao Yu's hand brushing teeth After a pause, he turned his head expressionlessly, glanced at his mother who was smiling but not smiling, turned around, picked up the door handle, closed the bathroom door directly, and then locked it...
"Bang!"
"Click!"
The world is finally quiet.
(End of this chapter)