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Finally, some well known quotes from famous mathematicians that are related to the psychology of mathematical research:

If you are thinking about about advanced texts similar to Polya's 'How to solve it?', I would suggest you Solving Mathematical Problems by Terence Tao and his article https://terrytao.wordpress.com/career-advice/solving-mathematical-problems/.

If you are looking to read divulgation books related to the psychology of mathematical research, I would also suggest you: Fermat's Last Theorem: The Story Of A Riddle That Confounded The World's Greatest Minds For 358 Years by Simon Singh, Birth of a Theorem: A Mathematical Adventure by Cédric Villani, and to look at books/articles by Alex Bellos.

Finally, some well known quotes from famous mathematicians that are related to the psychology of mathematical research:

Finally, some well known quotes from famous mathematicians that are related to your question:

That is related to: ''The experience of mathematical beauty and its neural correlates'' Front. Hum. Neurosci., 13 February 2014, a study that relates mathematical beauty to artist beauty, as producing stimulations in the same part of the emotional brain.

Finally, some well known quotes from famous mathematicians that are related to the psychology of mathematical research:

That serves as a motivation to ''The experience of mathematical beauty and its neural correlates'' Front. Hum. Neurosci., 13 February 2014, a study that relates mathematical beauty to artistic beauty, as producing stimulations in the same part of the emotional brain.

Finally, some quotes from famous mathematicians that are related to your question:

"My own way of thinking is to ponder long and, I hope, deeply on problems > and for a long time ... and I never really let them go."

Roger Penrose

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“Perhaps I could best describe my experience of doing mathematics in terms of entering a dark mansion. You go into the first room and it's dark, completely dark. You stumble around, bumping into the furniture. Gradually, you learn where each piece of furniture is. And finally, after six months or so, you find the light switch and turn it on. Suddenly, it's all illuminated and you can see exactly where you were. Then you enter the next dark room...”

“I carried this problem around in my head basically the whole time. I would wake up with it first thing in the morning, I would be thinking about it all day, and I would be thinking about it when I went to sleep. Without distraction I would have the same thing going round and round in my mind.”

Andrew Wiles

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“Mathematical reasoning may be regarded rather schematically as the exercise of a combination of two facilities, which we may call intuition and ingenuity.”

“I have such a stressful job that the only way I can get it out of my mind is by running hard.”

Alan Turing

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You get surreal numbers by playing games. I used to feel guilty in Cambridge that I spent all day playing games, while I was supposed to be doing mathematics. Then, when I discovered surreal numbers, I realized that playing games IS math.

John Horton Conway

And the last quote:

Why are numbers beautiful? It’s like asking why is Beethoven’s Ninth Symphony beautiful. If you don’t see why, someone can’t tell you. I know numbers are beautiful. If they aren’t beautiful, nothing is.

Paul Erdos

Finally, some well known quotes from famous mathematicians that are related to your question:

Roger Penrose mathematical thinking:

"My own way of thinking is to ponder long and, I hope, deeply on problems and for a long time ... and I never really let them go."

Andrew Wiles explanation of how is his experience working in mathematics.

“Perhaps I could best describe my experience of doing mathematics in terms of entering a dark mansion. You go into the first room and it's dark, completely dark. You stumble around, bumping into the furniture. Gradually, you learn where each piece of furniture is. And finally, after six months or so, you find the light switch and turn it on. Suddenly, it's all illuminated and you can see exactly where you were. Then you enter the next dark room...”

“I carried this problem around in my head basically the whole time. I would wake up with it first thing in the morning, I would be thinking about it all day, and I would be thinking about it when I went to sleep. Without distraction I would have the same thing going round and round in my mind.”

Alan Turing thought about what is mathematical reasoning, and how intense it is.

“Mathematical reasoning may be regarded rather schematically as the exercise of a combination of two facilities, which we may call intuition and ingenuity.”

“I have such a stressful job that the only way I can get it out of my mind is by running hard.”

John Horton Conway comparison of doing maths with playing games.

You get surreal numbers by playing games. I used to feel guilty in Cambridge that I spent all day playing games, while I was supposed to be doing mathematics. Then, when I discovered surreal numbers, I realized that playing games IS math.

And the last quote, the beautifulness of the number by Paul Erdos:

Why are numbers beautiful? It’s like asking why is Beethoven’s Ninth Symphony beautiful. If you don’t see why, someone can’t tell you. I know numbers are beautiful. If they aren’t beautiful, nothing is.