Princeton is not just one Fields Medal winner.

It is common for students to receive teaching from Fields Medal winners in class.

The classrooms of the Philippine Award winners are basically full of classes, and Shen Qi's functional analysis class is no exception.

The graduate students of Princeton Mathematics Department will choose a tutor and follow the tutor to study one or two main directions in depth.

At the same time, graduate students must also complete the necessary credits.

For example, Yu Lei chose Shen Qi as his supervisor. His main focus of graduate students is functional theory, including real-variable functions, complex-variable functions and other main research contents.

In addition to real-variable functions and complex-variable functions, Yu Lei also needs to learn general courses for graduate students such as functional analysis, Li Qun, Li algebra, partial differential equations.

Of course, more energy should be allocated for courses with the main focus. Other courses should be appropriately allocated for study time and investment according to personal circumstances.

There is an intersection between functional analysis and function theory and algebra theory, while functional theory and algebra theory are the main research directions of Yu Lei and Ralph.

Not only Yu Lei, but Ralph is here, but even Zhou Yuan, who is about to study for a doctorate, is here.

Zhou Yuan and Yu Lei walked together, and they both lived in the graduate accommodation building.

The two of them came over at the point and arrived in the classroom one minute before class.

Unexpectedly, the seats had been filled, and Ralph came 10 minutes in advance, and some graduate students arrived earlier than Ralph.

"Professor Shen only teaches one class a month, he is really popular." Zhou Yuan could only sit on the ground. His main attack direction was differential geometry + partial differential equations. He came mainly for Shen Qi. He had received the credits for functional analysis last semester.

"Who said no, Brother Xiao Qi is the new winner of the Philippine Award, and he is at its peak." Yu Lei, who also sat on the ground, felt proud. A strong tutor is a strong student, and a tutor is a big shot in the Philippines Award, and the students benefit from it.

At this time, a curly-haired boy in the seat next to him gave up his seat and said to Zhou Yuan: "Zhou, you sit here."

"Thank you, Rashiel, I'll just sit on the ground." Zhou Yuan politely declined the kindness of the curly-haired boys. He is a little famous among the graduate students in the mathematics department. He is Shen Qi's undergraduate classmate. He follows Professor Fei Gali to do research and is about to enter the doctoral stage.

This is Zhou Yuan's third semester in the graduate school department of Mathematics Department of Pudong University. He proved himself with his grades and was recognized by his classmates. Some students took the initiative to give up their seats to him.

"Brother Xiaoyu, you are amazing. You have already made a name for yourself. You are the next Brother Xiaoqi." Yu Lei saw it, his pursuit target was alive in front of him, Zhou Yuan.

At this time, a girl with a mixed-race face came in. She rushed to trot all the way, holding a math book in her hand.

"It's not bad for a second, just right." The girl stepped on the spot more accurately, and she smiled at Shen Qi.

Shen Qi made a gesture to invite him to sit down. He met this girl, the number one beauty in the Department of Mathematics of General University. She and Yu Lei and Ralph were admitted to the Graduate Department of Mathematics of General University in January this year.

You can only sit on the ground, and the seats with chairs are full.

But the treatment of beautiful women is different. Some boys give up their seats to this mixed-race girl.

The mixed-race girl refused to give up her seat from several boys. She sat directly on the ground and next to Yu Lei: "Hey, Yu, do you have any extra pen?"

"Yes, Heidi, I'm happy to serve you." Yu Lei handed a pen to a mixed-race girl, with three pieces of white paper. He was used to using a laptop to record the teacher's lecture focus, and at the same time brought a pen and paper in case of emergency.

"Thank you." The mixed-race girl smiled. She had a good impression of Yu Lei, who was good at it.

Shen Qi, who was observing secretly, saw all the moves in the classroom. He focused on Zhou Yu'an, Yu Lei, and Ralph.

Zhou Yuan won the respect of his classmates with his highest academic level in his contemporary students.

Yu Lei, who has just entered school, has a handsome face. He is very popular with girls and is good at dealing with girls of all kinds.

Ralph, a native American, is a bit introverted. He works very hard and has few friends.

Shen Qi began his lecture. In this version of functional analysis textbook, Mueller-Shen theorem about Banach space and Shen's near-force theorem were added.

Including Wash's theorem and Riemann's theorem, Shen Qi's name appears in two mathematics textbooks in Princeton, functional analysis and number theory.

The classroom atmosphere was lively, and the students asked some questions, including some fantastic and strange questions.

If you can get the Philippine Award winner to hang the blackboard, it will be a special psychological satisfaction.

"Hanging a blackboard" means that the teacher cannot answer students' questions and cannot provide effective answers or proofs.

Shen Qi hung up the blackboard once. When he was just studying for a doctoral degree, he led a guide class. An Arab-born undergraduate student asked Shen Qi how to prove the Riemann conjecture. Shen Qi was speechless at that time.

Riemann's guess was eventually proven by Shen Qi, and he never hung the blackboard again since then.

"So, are you satisfied with my answer to the Banach Space, Yu Lei?" Shen Qi asked in English.

Yu Lei actively spoke in class and took the initiative to show off. He just asked a question about Banach Space.

Shen Qi perfectly answered Yu Lei’s question, and Yu Lei was very satisfied and benefited a lot.

"Yu Lei, your question is very routine and the technical content is not high. I can answer you." Zhou Yuan muttered in a low voice in Chinese.

"Brother Xiaoyu, don't hit me like this, my glass heart can't bear it." Yu Lei didn't look like he was hit at all. After all, he had just been in the Puda for a few months and was still in the stage of learning and growth.

Shen Qi looked around the audience and asked: "Do you have any questions? If not, let's go to the following study."

The mixed-race girl raised her hand: "Professor Chen, I have a doubt?"

"Tell me your doubts, Heidi." Shen Qi performed his duties, preached, taught, and solved doubts.

Heidi has delicate facial features, fair skin but delicate pores, and should have some Asian ancestry. She said: "We all know that if one of the linear dimensions or orthogonal dimensions of Hilbert space h is infinite, then Hilbert space h must be a finite n-dimensional Euclidian space rn. Then, conversely, the extremely linear irrelevant vector group in the finite n-dimensional Euclidian space can be the same as the extremely orthogonal basis. How can we explain that the linear dimensions of Hilbert space are equal to the orthogonal dimensions, and they are all finite n-dimensional? Professor Chen, can you answer my doubts?"

Heidi's tongue twister-like questions made the male students in the classroom feel curious. They entered the same thinking channel as Heidi, waiting for Shen Qi's answer.

Yu Lei was shocked. This girl who looks like a goddess is so powerful! Princeton has indeed emerged with many talents!

On the stage, Shen Qi slapped three times in a row, and he said loudly: "Heidi, our Heidi, Princeton's Heidi! Heidi, you should go to Hollywood for an audition. I can guarantee that Heidi Rama's math scores are definitely not as good as you."

Heidi smiled and said, "Why not?"

Wow.

The boys in the classroom were yelling excitedly. Most of them had heard of Heidi Rama's legend, and even Heidi Rama was the goddess in their dreams that some of them slutted at night.

Heidi Rama was once a first-line female star in Hollywood. She was beautiful and charming, as famous as Vivien Leigh and Ingrid Bergman of her contemporaries.

Beauty alone cannot be the object of Princeton boys' fantasy.

Heidi Rama is a super academic master. Her main business in college was applied mathematics and communication engineering. She was an inventor. She invented the frequency hopping technology, which is considered to be the origin of CDMA.

"Mother of CDMA" and "Mother of Expanding Spectrum" Heidi Rama's side job is to act in movies, but she accidentally became a popular Hollywood actress.

In Shen Qi's functional analysis class, a mixed-race girl who is the same as Heidi Rama fit-name asked a question about Hilbert's space, which is extremely profound.

Faced with a female student who values ​​both appearance and wisdom, Shen Qi certainly could not hang the blackboard. He smiled and began to solve the problem.
Chapter completed!