My Math Hero. I'm a Physics student, and I'm currently reading their books im Mechanics and Ordinary differential equations, they are among the best books one can ever read in their respective areas and in Mathematics/Physics in general. His skills and ability to explain complicated concepts in a simple way are amazing. I also praise the ability of making connections between several areas of Mathemathics, in my opinion, it is the connection of several areas of this science that makes possible true progress. See, for example, differential geometry where the analysis and geometry beautifully meets each other and make possibles a series of original dicoveries. Unfortunately general thinkers as him are growing thinner, this boastful attitude of look for one's own ends pevrents specialits of several of pooling their knowledge in the same pot. I like also his geometric approach to problems, the skill of going from conceptual ideas to rigorous scientific definitions are much needed and must be stimulated. Russians are thinkers doing science and that's what make them really good on it.
Whereas I agree that formalism, rigour, and higher and higher levels of abstraction are most definitely necessary for Mathematics and are inherently valuable themselves (this seems like an obvious observation, but Math was deficient in this for almost all of history, until the last century really), there is a severe lack of intuition nurturing, and "true" understanding in today's pedagogy. We humans are unfortunately unbalanced beings who always gravitate to polar extremes instead of seeking out the balance between them. The dry, unmotivated, axiomatic style of today's treatment of Mathematics repels many potential lovers of it from its beauty, which is a shame since nothing in the physical universe compares to its beauty once you get to know it intimately. We need to be a bit more Euler/Poincaré and a bit less Bourbaki, we already have solid foundations.
@@philippepetit4008 What a honour. I'm from Brazil and once I met with a Russian math professor student of Yakov Sinai who did get to know him and some other Soviet mathematicians....
Vladimir Arnold was true mathematician. People who blame him for the lack of rigor must remember that he solved Hilbert's thirteenth problem at the age of 19. Honest man, incredible man.
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My Math Hero. I'm a Physics student, and I'm currently reading their books im Mechanics and Ordinary differential equations, they are among the best books one can ever read in their respective areas and in Mathematics/Physics in general. His skills and ability to explain complicated concepts in a simple way are amazing. I also praise the ability of making connections between several areas of Mathemathics, in my opinion, it is the connection of several areas of this science that makes possible true progress. See, for example, differential geometry where the analysis and geometry beautifully meets each other and make possibles a series of original dicoveries. Unfortunately general thinkers as him are growing thinner, this boastful attitude of look for one's own ends pevrents specialits of several of pooling their knowledge in the same pot. I like also his geometric approach to problems, the skill of going from conceptual ideas to rigorous scientific definitions are much needed and must be stimulated. Russians are thinkers doing science and that's what make them really good on it.
Whereas I agree that formalism, rigour, and higher and higher levels of abstraction are most definitely necessary for Mathematics and are inherently valuable themselves (this seems like an obvious observation, but Math was deficient in this for almost all of history, until the last century really), there is a severe lack of intuition nurturing, and "true" understanding in today's pedagogy.
We humans are unfortunately unbalanced beings who always gravitate to polar extremes instead of seeking out the balance between them. The dry, unmotivated, axiomatic style of today's treatment of Mathematics repels many potential lovers of it from its beauty, which is a shame since nothing in the physical universe compares to its beauty once you get to know it intimately.
We need to be a bit more Euler/Poincaré and a bit less Bourbaki, we already have solid foundations.
Dear Elias , i met Vladimir Arnold in Paris during my Mathématics Studies and he had a communicative enthusiasm
Very rightly said. Today we need a balance of Bourbaki and Arnold/Poincaré/Hilbert.
@@philippepetit4008 What a honour. I'm from Brazil and once I met with a Russian math professor student of Yakov Sinai who did get to know him and some other Soviet mathematicians....
I am very impressed from your mechanics book .you are my hero forever sir
maths and maths teaching made human! impressive!
Vladimir Arnold was true mathematician. People who blame him for the lack of rigor must remember that he solved Hilbert's thirteenth problem at the age of 19. Honest man, incredible man.
Very many thanks to those who have made and saved these recordings for us.
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A Great Lecture ..High Class...
One of pure genious
Priceless
Yep agree