177.

"Calculus also had a crucial influence on the advent of computers, including the development of programs. ”

As a programmer, Cheng Li also has his own understanding of calculus.

"The importance of functions to programs is needless to say, and the emergence of calculus has made it possible for the whole world to be simulated and presented in the digital world constructed by calculus theory, which is the cornerstone of the virtual world of modern computers.

"The greatness of calculus lies in the fact that it expands the human expression of irregular planes and three-dimensional, so that the whole world, and even everything, can be represented by functions - which means that humans can program to build a virtual world through functions. ”

Cheng Li is climbing up step by step in the arithmetic monument, while doing fierce ideological collisions and thoughts in his mind.

"What programming on Earth builds is just a virtual world. If I were in this world, using the powerful mathematical tools of calculus as a weapon to write programs and study graphics, would I be able to create something out of nothing and create whatever I wanted?"

Cheng Li thought with a big brain.

"But now I have a ...... about the world How to program in a real way is still a little puzzled and confused. I hope that I can get some answers in this trial of the arithmetic tablet and the inheritance of yin-yang arithmetic. ”

Cheng Li is a person with super learning ability, even so strong that he is a bit perverted.

And after becoming a cultivator, the rebirth of his physique, including the strengthening of his brain thinking, made his learning ability rise to several levels.

At this moment, he is climbing up the arithmetic monument like this, seemingly just looking back on some of the mathematical knowledge he has learned in the past.

In reality, however, the benefits Cheng Li has gained in the process are unimaginable.

The arithmetic tablet is equivalent to helping Cheng Li systematically sort out the mathematical knowledge he learned in the past.

At first, when the first few hundred floors were just answering some middle and high school questions, it didn't have much effect.

But after 1,000 layers, answering these classic and complex mathematical problems, each of these questions is equivalent to letting Cheng Li review and deduce again.

Some of the places and details that Cheng Li didn't pay much attention to or didn't care much about before were magnified by these questions, and in the process of answering, Cheng Li smelted the mathematical knowledge behind these questions, and finally Cheng Li systematically reviewed the mathematical knowledge he had learned in the process of answering the questions, and integrated it.

And Cheng Li didn't find that after answering a question, he passed through each layer.

In the void, there will be a large amount of information, silently, from the arithmetic tablet, quietly poured into the sea of knowledge of Taoism.

And Cheng Li is unaware of this.

He just felt that after answering a question, his brain was much clearer. Some problems that I couldn't figure out before were easily solved.

Cheng Li felt like he was in a special state of epiphany, which also made him hurry up and take advantage of his good state to keep going to higher levels.

Cheng Li's level of mathematics is improving at a terrifying speed without him even noticing......

It only took 1 hour for Cheng Li to pass through the 1500th floor and start heading towards the 1501st floor.

From 1000 to 1500 layers, there are many problems related to calculus, as well as some classical mathematical problems accumulated before the creation of calculus.

For example: Kepler and the volume of a rotating body, Cavalieri's principle of inseparability, Cartesian circle, Fermat's method of finding maxima and minima, Barrow differential triangles, Wallis's infinite arithmetic, etc.

In addition, Newton's epoch-making work "Principles of Natural Philosophy" occupies a full 100 questions, and the significance of "Principles of Natural Philosophy" in the history of mathematics can be seen from this.

The publication of "Principles of Natural Philosophy" can be said to be a landmark event in the establishment of a modern scientific system, and it is naturally full of weight.

But in addition, among these 500 questions, in addition to Newton, Leibniz also carried a very heavy weight.

Leibniz and Newton, both of whom founded calculus in different ways at almost the same time, independently of each other.

Leibniz's "A New Method for Finding Maxima and Minima and Finding Tangents" occupies a full 70 of the 500 questions.

And among these 500 questions, binary arithmetic appears for the first time. This is also from Leibniz's Binary Arithmetic, written in 1679.

And after Leibniz wrote "Binary Arithmetic", he got the Yin-Yang Bagua Diagram from his friend French missionary, and immediately found that his binary arithmetic could have a good explanation for Yin-Yang Bagua.

Cheng Li originally connected yin and yang with binary, and it was also because he understood this history of Leibniz that he studied some combinations of yin and yang gossip and binary when he was in college.

However, from the 1501st floor, Cheng Li began to feel a little struggling.

The problems at the beginning of layer 1501 are still in the realm of calculus, but they are already more advanced mathematical problems after the further development of calculus.

If we talk about the 1000th to 1500th floors, it is in the 17th century AD.

Then the 1501st to 1999th floors are concentrated in the development of mathematics in the 18th century.

In the history of mathematics, the 18th century AD was also the era of the vigorous development of calculus and the development of calculus as a basic discipline of mathematics, which gave rise to the concept of "analysis" in mathematical research, so some people also regarded the 18th century as the era of analysis.

As soon as he got to the field of analysis, Cheng Li began to have a big head.

Each of the questions here can be said to be a field that he felt very difficult in college at the beginning.

Therefore, he had to analyze and think for a long time for each question before he could finally give an answer.

Fortunately, he has more or less been exposed to these questions before he can answer them.

It is conceivable that if the arithmetic tablet had given him a random set of other planes, and Cheng Li had never been in contact with the question bank at all, the difficulty would undoubtedly increase geometrically.

This is probably an important reason why only one person has reached the 3,000th floor of the arithmetic monument for so many years.

From the 1501st to the 1999th floor, Cheng Li encountered such obscure problems as integration technology and elliptic integration.

There are also problems such as the generalization of calculus to multivariate functions, the problems of infinite series theory, the deepening of the concept of functions, ordinary differential equations, partial differential equations, variational methods, differential geometry, equation theory, number theory, ...... and other issues that have gone extremely deep.

Many of these problems are not taught in modern university courses, and they are problems that only mathematics practitioners and mathematicians will come into contact with and study.

But Cheng Li feels that he is like a divine help today, some questions that he has never seen before, he can actually rely on the accumulation of answers all the way before, through the bypass, try to deduce by himself, and actually prove the correct result!

In the end, Cheng Li spent a lot of effort, and felt that his brain was about to suffocate, so he finally passed the 1999th floor and came to the 2000th floor!