I Just Want to Be a Quiet Top Student

Chapter 312 Visiting the Advanced Research Institute

"History of Number Theory" is not a simple history book, although it contains some historical events of mathematics.

Excerpting part of it, Shen Qi wrote as follows:

"The subject of number theory originated in Greece, and the indeterminate equation introduced by the great mathematician Diophantus made it a systematic theory."

"Indians and Arabs struggled to maintain Diophantus' system of equations so that number theory would not be buried in the dust of history."

"Professional mathematicians in Greece, India, and Arabia have made great efforts in number theory, and the person who has made extensive contributions to number theory and given great impetus to this subject is an amateur mathematician in France—Fermat."

"Fermat was born in a wealthy businessman family. He was a lawyer by profession and was very enthusiastic about politics. He was once a consultant to the Toulouse Parliament."

"Although mathematics was only Fermat's hobby, and he could only use a small amount of leisure time to study mathematics, he made top-level contributions to number theory and calculus."

"Fermat is one of the two inventors of coordinate geometry. Together with Pascal, he initiated the study of probability theory. This study originated from a gambling, and Fermat lost everything."

"Fermat put forward hundreds of conjectures in his life, but he only proved one of them, and this proof was only a general outline, and it stopped abruptly after half of the outline."

"Compared to Fermat, an amateur, Riemann, a German professional mathematician, devoted his whole life to mathematics."

"Riemann's health is not good, and his personality is suspicious."

"At the age of 33, Riemann proposed the famous Riemann conjecture. He married at the age of 36 and died of illness at the age of 40."

"The author and his academic partners proved the Riemann Hypothesis, and sorted out the theoretical system of Riemann zeta function prime number distribution, as follows:-

Reζ'/ζ(s)=σ-1/∣s-1∣^2-∑ρσ-β/∣s-ρ∣^2+O(1/λ(s)+log(∣s∣+2) )

...

{ρ1, 1-ρ1, ρ2, 1-ρ2, ..., ρk, 1-ρk, ... ρn, 1-ρn}

...

x=βk, γ=γk, x^2-x-γ^2+γk^2+βk-βk^2=0, γk(1-2β)+γ(2x-1)=0

ζ(s)=e^A+Bs∏∞n=1(1-s/ρn)(1-s/1-ρn)e^(s/ρn+s/1-ρn)

..."

The 100 pages under "as follows" are very valuable and belong to Shen Qi's academic originality. In this book, he published for the first time the complete version of the theoretical system of prime number distribution of Riemann zeta function.

For mathematicians, the 100-page professional exposition of the Riemann zeta function prime number distribution theoretical system is the biggest selling point of the book "History of Number Theory".

But the number of this readership is small, and it can even be said to be rare.

So Shen Qi didn't expect "History of Number Theory" to be a hit. Whether it makes money or not is a trivial matter. It is the wish of a famous mathematician to publish a monograph on mathematics.

On the day when "History of Number Theory" was officially released and sold in the United States, the whole of the United States was extremely calm, and there was no vision of lightning, thunder, tornado drying up the sea.

It will take some time for the sales data to come out. Shen Qi maintains a normal mind. This year, he completed a scientific research task in the Mathematics Department of Pudong University and published an academic monograph.

System: "New achievement! The host published a monograph on mathematics. The basic award is 500,000 Xueba points, multiplied by the mathematics master's talent coefficient 2.0, and the final reward is 1 million Xueba points."

Xueba points are accumulated over time. Shen Qi returned to China to receive a national medal, published a book, and earned back the Xueba points for upgrading physics to level 10.

Shen Qi has been studying condensed matter physics for some time.

In the subject classification of physics, condensed matter physics is classified as the category of theoretical physics.

Condensed matter is a general term for solids, liquids, and states between solids and liquids.

Condensed matter physics is a science that studies the structure of condensed matter and the laws of interaction and motion between constituent particles, so as to clarify its properties and uses.

The goals of condensed matter physics research are very broad, even complex, and physicists working in this field account for more than half of the total number of people.

The length of condensed matter ranges from a few meters to several nanometers, the time involved ranges from a few years to a few femtoseconds, the energy involved ranges from a few thousand Kelvin to a few nanoKelvin, and the number of particles involved ranges from 10^27 to 10^21 , which is close to the thermodynamic limit.

Talk about specific achievements in condensed matter physics applications, including high-temperature superconductors discovered in recent years, quantum transport in mesoscopic systems, photonic crystals, C60 molecules and solids, carbon nanotubes, giant magnetoresistance and colossal magnetoresistance, etc.

A part of the world level of condensed matter can be directly observed by human beings, and many structural details must be observed with various microscopes, which naturally involves related experiments.

Shen Qi didn't have the resources for physical experiments. The most expensive experimental equipment in their mathematics department was high-performance computers, which were used to verify mathematical speculations with huge amounts of data.

In case of difficulty, find a master.

Shen Qi walked to the Institute for Advanced Study in Princeton, where he was going to visit Edward Witten.

The Institute for Advanced Study in Princeton is right next door to Princeton University. It has been two or three years since he came to Princeton. Shen Qi has wandered in front of the bronze statue at the entrance of the Institute for Advanced Study many times, but he has never entered it once.

This bronze statue is a bust of Einstein, and the base is engraved with Einstein's famous quote: "Imagination is more important than knowledge."

Shen Qi stared at Einstein, and said to himself in a daze: "I have knowledge, I have a lot of imagination, but I don't have experimental equipment, Professor Einstein, please tell me how you made up the theory of relativity in your brain back then. of?"

"It's very simple." Suddenly, a familiar voice came from behind.

Shen Qi turned around and said, "Edward, what a coincidence, I'm going in to find you."

It was Edward Witten who came, and he said: "The supreme test of the physicist is to arrive at those universal fundamental laws, and then deduce the whole universe from them."

Shen Qi looked at the bronze statue of Einstein, and smiled at Edward Witten: "What you are talking about is Einstein's version of reductionism, which reduces complexity to simplicity, and then rebuilds complexity from simplicity."

"So Qi, do you understand?" Witten asked.

"Well, I understand." Shen Qi nodded, and asked again: "Edward, is there any experimental equipment for condensed matter physics in the Institute for Advanced Study?"

"It seems that you don't fully understand how to deduce the entire universe." Wei Teng waved his hand, signaling Shen Qi to follow him into the building of the Institute for Advanced Study.

Professor Witten has the ability to reconstruct the complex from the simple, and he has deduced the universe. The problem is that no one praises him, because others cannot understand the universe of Witten.

Shen Qi did understand a part of the universe set by Wei Teng. With a sense of awe, he stepped into the building of the Institute for Advanced Study in Princeton for the first time.

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