I'd say this is great advice for more advanced students.
Its flattering that youtube suggested this to me.
It's not about laziness, rather being wise and patient with your approach.
I often say to my high school math students, "Work smarter, not harder. That is not being lazy; it is being smart!" Much of mathematics is recognizing patterns. With much practice, the math actually gets easier as you advance. Calculus actually possesses a beautiful elegance and simplicity once you arrive to that peak. The challenge is getting to that peak.
My math teacher in school was the same: What would you need to solve it elegantly? Lean back, think about it, dream a little, use your creativity.. Loved him. He made me appreciate and actually love mathematics.
Yup. Laziness breeds efficiency. It's an important virtue to have.
He has a very calming and gentle voice
My lazy ass not even solving the problem:
"Why are you not cleaning your room!" "I'm a good mathematician"
To be a really good mathematician you have to have at least 12 whiteboards
The trick heβs referring to is simplifying the trig integrals involved in solving PDEs. Learning this saved me SO much time on exams π
Finding the cleaver way to solve the problem is the hardest thing π
The professor is right in the sense that mathematicians avoid doing something over and over or doing it with brute force or by applying direct definitions. Mathematicians try finding patterns and developing formulas.
Lazzy meaning: do a lot of work, analyze what's important, write it down and remember it. Then, you could take advantage, by using it to improve performance and use your time to have some rest.
An idiot admires complexity, A genius admires simplicity.
"How many chalkboards do you need in your auditorium?" "I need ALL OF THEM!"
Spend 2 minutes solving the problem β Spend 2 hours finding a method to solve the problem in 30 seconds β
As an IT guy who heard this advice years ago I would definitely say that it doesn't apply everywhere. Sometimes you just need to do something even if its a bruteforce approach before you're able to learn from it and do it better next time. Laziness is something you can pull off when you have the knowledge and experience to be lazy.
That gem is a whole life lesson.
@peterrollinsonlorimer