Influential Visual Math Thinkers: Penrose, Mendelbrot, Arnold, Atiyah

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The discussion centers on influential mathematicians known for their visual thinking, particularly those who utilize diagrams and drawings in their writings. Key figures mentioned include Roger Penrose, Benoit Mandelbrot, Vladimir Arnold, and Sir M. Atiyah, all recognized for their visual approach to mathematics. The conversation emphasizes the importance of the ability to teach concepts visually over mere influence. Mathematicians such as John Milnor, Bill Thurston, Hilbert, Felix Klein, Cornelius Lanczos, and John Baez are noted for their visual thinking, with Milnor's work described as somewhat formal. Tristan Needham's "Visual Complex Analysis" is highlighted as essential for visually oriented math students, showcasing the value of visual learning in mathematics.
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Do you know any influential mathematicians that are visual thinkers? especially those who wrote books.
For example mathematicians that think and write like Roger Penrose,Benoit Mendelbrot,Vladimir Arnold,Sir M.Atiyah who are very keen on using diagrams and drawings in their writings.
 
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The question is to what degree are they visual thinkers, rather than whether they are or are not. Do you really care if they are influential or just if they can teach you something? Personally, I could care less if they are influential. I only care if they can teach me something.

As far as influential...Milnor has said he is very visual, although I find some (not all) of his writing to be a bit on the formal side. Bill Thurston. Hilbert, to some degree. Felix Klein. Cornelius Lanczos. John Baez, to some extent.

Tristan Needham, although he seems to be mainly influential as the author of Visual Complex Analysis, which is a must read for any visually inclined math student.
 
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