Just as Qin Xiaoke was just lying on the table and talking to Xiaomei about his brother, Qin Ke was digesting the book "Calculus Learning Tutorial" (by Feihejin Golz).

Qin Ke specially checked this book online. The knowledge that the system passed into his mind was almost exactly the same as the one sold in the bookstore. It only integrates the three volumes and automatically provides the knowledge network and difficulty analysis of the entire book.

The most rare thing is that these knowledge networks will automatically integrate and verify the knowledge points of domestic key undergraduate college tutorials such as "Mathematical Analysis", "New Lecture on Mathematical Analysis" and "Mathematical Analysis Tutorial" that Qin Ke has read before.

It made Qin Ke feel like a famous teacher’s guidance, and it was extremely easy and quick to digest and understand. In addition, all the content of the book has actually been imprinted in his mind, so he didn’t have to remember and read it like reading a physical book. As long as he understood and digested it, he would never forget his knowledge.

He has been blessed with his thinking ability, understanding ability and thinking speed to greatly improve his system. From Monday to now, he has used his free time to complete the knowledge fusion of seven books.

"The real variables are monomeric and multivariate differential and their basic applications, and they have mastered... Riemann integral theory and series theory, and they have also mastered... Next are multiple integrals, curve integrals, curve area divisions, Stirgis integrals, Fourier series and Fourier transform..."

"Yeah... I'll get another one!" Qin Ke clenched his fists excitedly.

"This book is really well written. Many of the details of knowledge points are not explained in detail in the previous textbooks, and the examples are easy to understand."

Qin Ke digested and fused this "Calculus Tutorial" (by Feihejin Golz), and it only took an hour from time to time. If he followed the conventional learning method, even a math major with a strong foundation would not be able to do it without a month or two of hard work.

Moreover, Qin Ke's brain thinking was extremely clear throughout the process. The mastery of knowledge points was like defeating a small monster in a game to obtain experience points. It was not boring at all, but was full of the fun of traveling to the ocean of knowledge.

"Continue and continue, and then attack walter rudin's "Principles of Mathematical Analysis"!"

Qin Ke was addicted to mathematical analysis and could not extricate himself. He almost forgot that he was on the way home.

He was watching with relish, but suddenly his phone shook and he came to WeChat message.

Qin Keben didn't want to pay attention, but the news rang one after another. Thinking that it might be sent by his younger sister, he sighed helplessly, interrupted the study of mathematical analysis reluctantly, and took out his cell phone.

Hey, it’s Li Xiangxue.

"Qin Ke, how do you solve this problem? I haven't done it for a whole night!"

"Ahhhh, please help me see it. If I can't see the solution, I'll be crazy!"

"Just like before, one solution costs two thousand yuan. You can write as many as you know!"

"As soon as my pocket money arrives on the weekend, I will transfer it to you!"

"Qin Ke, are you here? Have you seen my news?"

After several consecutive messages bombing, Qin Ke shook his head and was about to return to "OK", Li Xiangxue had already popped up a video call request.

Qin Ke: "..."

Li Xiaozi is really eager to study.

Qin Ke answered: "I saw your news. Give me some time, three minutes, and I will give you an solution in three minutes."

"Thank you! Thank you Qin Ke!"

On the other side of the video, Li Xiangxue's hair was messy and his eyes were covered with blood, but when he heard Qin Ke's words, he felt like he was injected with chicken blood. He immediately became energetic, and his eyes were like a puppy asking for food.

"I won't bother you!"

After finishing the video call, Qin Ke clicked on the photo sent by Li Xiangxue.

"Suppose the real number a,b∈[p,q](q is greater than p is greater than 0). Prove that for any positive integer m, there is a^(-m)*b^(m 2)

a^( m

2)*b (-m)≤(a^2 b^2)/(p^2 q^2)*(p^(-m)*q^(m 2)p^(m 2)*q^(-m).

Hey, this is already a standard national competition difficulty question, no wonder Li Xiangxue did so painfully.

But Qin Ke was in excellent condition at this time. He took out paper and pen from his schoolbag and started writing without thinking.

"Remember c=q/p, then p/q=1/c. From a,b∈[p,q], it is derived that 1/c≤a/b≤c,..."

The construction method plus recursive method plus mathematical induction method, Qin Ke spent about three minutes and wrote most of the pages of paper.

Get it done.

I took a photo and sent it to Li Xiangxue, and sent another voice message to explain the ideas and difficulties in the solution.

"This is a national competition-level question, and it is indeed a bit difficult. Xiang Xue, you should first look at the first solution and my phonetic explanation. If you have any questions, I will write two more for you and answer them after writing them."

Although the long-distance bus was full of people, most of them were sleeping or wearing headphones. Qin Ke didn't sound loud, so he was not afraid of disturbing others. After saying that, he put down his phone, continued to pick up the pen, and wrote it on another page.

As a good student in the new era who is enthusiastic and helpful, Qin Ke decided to write down all the solutions he could think of. This is a serious attitude towards mathematics and a reward for Li Xiaozi's serious study. It is definitely not based on the reward of two thousand yuan for the solution.

After all, he is a household of 100,000 yuan. He can still see the reward of 2,000 yuan in just one solution.

Just as he was writing hard, a young man in his twenties sat upright in his seat next to him, quietly watching the answer Qin Ke was writing.

His name is He Wei, a reporter from "Mathematics Knowledge Journal", and he has been in the industry for almost three years.

In this world, knowledge is highly valued. There are countless newspapers and magazines in various disciplines, and the competition is huge. However, provincial newspapers such as the Journal of Mathematics Knowledge are relatively famous and have a lot of influence among high school students in Huahai Province.

He Wei graduated from the School of Mathematics of Yuanzhou University. His graduate supervisor is Shi Cunyuan, the most famous professor in the college. After graduation, he joined the Journal of Mathematics Knowledge and became a reporter. He is also responsible for new media projects. In short, it is video planning for platforms such as official accounts and B.C.

This consumes a lot of work pressure on brain cells. Recently, he has lacked inspiration and has not thought of any good planning ideas. He simply took a few days off and traveled around to recharge.

Originally, He Wei was closing his eyes to rest, and the young man sitting next to him did not attract much attention, but when Qin Ke and Li Xiangxue were talking on the video, he subconsciously opened his eyes when he heard the name "Qin Ke".

Although he had a vacation before the Mathematical Olympics Provincial Championship, due to professional habits, he will still pay attention to the latest winners.

If you forget it correctly, this "Qin Ke" seems to be the first prize in the provincial competition, and it is the first place in the full score!

He couldn't help but observe Qin Ke secretly, and naturally listened to all Qin Ke's previous words.

Qin Ke did the problem of difficulty in the national competition in three minutes? And could he come up with other solutions?

Could it be that Qin Ke? Why didn’t he attend classes in school but fell in this car?

He couldn't help but look at the boy next to him again.

I saw that in the shaking long-distance bus, my hair was naturally curled and I looked a little messy. The boy with a hair on his head was quietly writing the answer process. The winter sun shone, and the boy's lazy expression was filled with concentration and seriousness.

This kid is so handsome that he is afraid he will fascinate many little girls.

He looked at Qin Ke's problem-solving process again and couldn't help but gasp.

Qin Ke wrote very smoothly, but the tip of the pen never stopped scratching. The "second proof method" and the "third proof method" were all written in one go.

As a graduate student in mathematics, He Wei's level is naturally excellent. Although he didn't see the question, he also saw a lot of things coming from this proof process.

Awesome, Qin Ke is really amazing. He can actually use more than a dozen Olympiad mathematics methods to perfection.

The third method of proof is completely unexpected, and it actually uses the combination of numbers and shapes as the entry point!

Guan Jian’s problem-solving speed is too terrible, right?

This should be the difficulty of the national competition? Why is it like chopping melons and vegetables in Qin Ke's eyes, and there is no need to think about it at all? If I had changed myself, I would never be able to achieve this speed!

He Wei was secretly shocked, and at the same time, his mind was filled with inspiration, and an excellent creative idea emerged.

The more he thought about it, the more he felt it was feasible, and he couldn't help but feel energetic.

But he didn't say anything to disturb Qin Ke. It was not until Qin Ke sent a voice to Li Xiangxue that he took out his own reporter's certificate and said, "Class Qin Ke, right? I am He Wei of Mathematics Knowledge Journal, and I didn't expect to meet you here by chance."

***The author has something to say***

Thanks to "smiledeath" and "Da Mengze" for their rewards!

Thanks to the monthly tickets of "Panda Boss", "Jun Moyun", and "He Zhou"!

I was a little depressed and talked to the editor. The editor meant that there were too many readers in my book, which made the reading data of this week a little worse. I failed to successfully advance, and it was really a little worse... I was probably about a dozen or twenty readings away.

I beg you all here to try not to raise books, even if you raise books, please click on the latest chapter on Tuesday.
Chapter completed!