Free Web NovelChapter 435: Chapter 269: The Great Master is gone, how should I teach the class now? - Part 2
Zhao Yi thought, "Perhaps the final conclusion is still wrong, but whether it is wrong or right depends on the theoretical framework it’s under."
"From the perspective of the theoretical framework that mathematicians generally accept today, this conclusion is correct." ƒгeewёbnovel.com
"Then, when studying high-dimension complex functions, can the method of series substitution be employed..."
Zhao Yi fell deep into thought.
Hu Zhibin did not thoroughly explain Riemann’s method of proof. At the undergraduate level, many processes are incomprehensible, their knowledge has not yet reached such an advanced stage.
Additionally, even if he wished to convey it seriously, one classroom session would be far from sufficient.
This topic is unrelated to the classroom knowledge, a simple explanation to let students understand the concept of series and erroneous substitutions would suffice.
Before long.
Hu Zhibin’s relaxed but interesting advanced mathematics class came to an end.
As he was packing up his things, he saw a student walking towards the podium. There were many students in the corridor, but this student stood out so significantly, so intriguing that it caused Hu Zhibin to freeze in place.
"Zhao...Zhao Yi? Didn’t you skip class?"
"I’m here, though?" Zhao Yi pointed to the direction of the window, "I’ve been sitting over there."
"But, during class..."
"Had you called me?" Just then, Zhao Yi was engrossed in the materials in his hand, he even spent ’Study Coins’ to activate a focus mode, unaware of what transpired.
He was sitting on the edge of a middle row, somewhat near the window, unnoticed by most students.
Hu Zhibin believed he had undoubtedly been careless.
Before class, he had instinctually glanced towards the spot Zhao Yi usually sat, saw his friends Fan Lei and Li Renzhe were present, and just Zhao Yi was missing, he naturally assumed Zhao Yi did not come.
He did not take attendance during that lesson.
As a matter of fact, even if he had taken attendance, Zhao Yi’s name would not have been called, as he did not put Zhao Yi on the student list.
Such coincidence had occurred. ƒreeωebnovel.ƈom
A regular student’s attendance does not pose a significant issue, but Hu Zhibin had thought Zhao Yi did not attend, so was relieved of pressure, subsequently letting his guard down.
Thinking back now...
"I did not teach incorrectly somewhere, did I? Students’ reactions seem fine ..." Hu Zhibin pondered with concern.
Zhao Yi went to him and said, "Teacher Hu."
"Just call me by my name."
"Alright, Teacher Hu, um...can you explain to me the content of just now, the proof of the sum of all natural numbers."
"Moreover, you should be aware of Riemann’s method of proof, right? I want to hear about that too."
"You don’t know it?"
"I do, but I just thought of something and it feels like I’ve forgotten about it, anyway..." Zhao Yi explained, furrowing his brows.
Hu Zhibin sighed in relief after hearing that. As long as it wasn’t about picking on the course, he promptly said, "Alright, come with me to my office, I’ll explain it to you."
On second thought, he was quite enticed.
This is Zhao Yi requesting him to give him a lecture, after all. After this semester ended, when he would lead the next class of students, he could boast of having been sought for advice by Zhao Yi ...
Hu Zhibin was already carried away with his thoughts.
...
In the office.
Hu Zhibin seriously explained to Zhao Yi the method of deriving the sum of natural numbers. He had likely conducted specific research on this and had a profound understanding of this field, which allowed him to cover far more content than in class.
For example, he talked about two types of erroneous proofs.
One was Ramanujan’s Misplacement Series Substitution method;
the other was the use of a function, f(x)=1+(x+x^2+x^3+x^4...), which then underwent factor decomposition to yield f(x)=1/(1-x), resulting in 1+x+x^2+x^3+x^4...=1/(1-x), and upon substituting x=-1, we get 1-1+1-1+1-1+1...=1/2.
The conclusion of the latter method is the start of the former one, and the error in both lies in that the development of the series is non-divergent.
After introducing the two incorrect methods, Hu Zhibin began to detailedly explain Riemann’s proof method using complex analysis.
Zhao Yi was familiar with Riemann’s proof method involving complex analysis, having encountered it in some materials and carried out the calculations himself. Still, hearing a detailed explanation from someone else felt different.
While mathematical processes are all meticulous, everyone’s thoughts, perspectives, and understanding differ.
Take a simple arithmetic problem, 25 times 25 for example; many do not need to calculate the solution as they have committed it to memory; some use the formula, 2*3*100+25; and some just carry out the multiplication in their mind.
In any case, everyone’s way of thinking is different, this would also result in different interpretations for the same complex problems.
As Zhao Yi listened to Hu Zhibin’s explanation, he found his understanding of series growing deeper.
He realized that series is an intriguing concept, be it for doing complex computations, exploring theoretical areas of mathematics, or even function infinite extensions, or even understanding the Riemann Conjecture, it was impossible to avoid series.
And leveraging the simple and crude method of symmetrically multiplying the central line primes in Goldbach Conjecture to analyze the result factor, to perform a grand analysis using series...
Does that appear to be a viable path?
Although Zhao Yi seemed to be attentively listening to Hu Zhibin’s explanation, his mind had switched to the thought process of proving Goldbach’s Conjecture.
By the time Hu Zhibin finished explaining everything, half an hour had passed. He looked at Zhao Yi furrowing his eyebrows and asked, "Zhao Yi, is there something you don’t understand?"
