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> As I noted in the gp I think code implementations or numerical methods should be the goal.

I’m 100% with Feynman on this one. I loved the book because of the intuition it gave me about quantum physics. He even has this amazing analogy for how to teach arithmetic without numbers. Now, you could absolutely claim that he fails in his analogies (I’m not among the .1% of people if not less who can debate that), but I can still say claim confidently that math is not the goal. Abstraction is not intuition.




In mathematics, geometric and algebraic explanations are complementary.

If you plot a function, you can observe many properties easily, for instance where does it cross the axes? Is it symmetrical? How quickly does it grow?

However there are also many properties that are easier to observe algebraically. For example if you plot x^n you can see if n is odd or even, but you can’t see what value n has because x^10 looks very much like x^12. But if you have the algebraic representation you can read it off.

The issue with Feynman’s clocks is that he only provides the geometric explanation (what physicists would call “intuition”), and not the algebraic explanation.

This only helps two kinds of people: 1) people not capable of understanding the algebra, 2) people who already know the algebra and want to develop intuition.

For the third group of 3) people are capable of understanding the algebra but haven’t learned it yet, only talking about clocks is a bit dizzying.


I strongly disagree. The geometric explanation lets you understand the main concept without the hassle of algebra. The algebra isn't needed for these fundamental topics.

There's no requirement to do opaque algebra before approaching intuition.

Feynman invented Feynman Diagrams, which are a major contribution to Physics because they avoid algebra, and physicists are certainly capable of algebra.


> people are capable of understanding the algebra but haven’t learned it yet

Those people are perfectly capable of taking any other textbook. What value is there in another book that explains the subject in the same exact way?

Besides, almost all of those people will have a much easier time picking the other textbook if they read the intuitive explanation first.




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