I
recall being a freshman at Columbia, and running into dozens of
equations in my introductory mechanics course. (We were following a book
by Sears and Zemansky.) I despaired at learning all those equations,
and then realized that I didn’t have to. If I remembers F = ma,
then I could derive all of the other equation whenever I needed them.
There were some equations that were separate, such as the equations for
friction, so I had to memorize a few more, but I recall that for each
exam (until the final) it was two or less.
As
a freshman, I also took a very advanced math class. Unlike the more
elementary class, in which students memorized dozens of ways to do
integral, our exams were all based on abstract reasoning, reaching
difficult results or proving theorems based on deceptively elementary
principles. For this class I don’t think I ever memorized an equation.
But my friends, who were studying introductory integral calculus, did.
As
a result, I have never become good at “doing integrals.” It never
mattered in my career. If I needed to do an integral, I could always
look it up in a table, or ask someone else. Just as few people need the
capability to compute a square-root by hand, a physicist hardly ever has
to evaluate an integral. Some people are different. One of my favorite
professors at Cal was Evan Wichmann. When he was stressed out and wanted
to relax, he told me, he would find some tricky integral to calculate.
He never had to look it up to see if he got the right answer, because he
was disciplined enough to always know if he was right.
I’ve
often said that I never could be a biologist, chemist, historian,
politician… because I don’t have a good memory. Then I read a wonderful
book by Nigel Caulder called “The Mind of Man.” Among other topics, he
discussed people who have “eidetic” memory, often called “photographic
memory.” These extraordinary people, it turns out, tend to have (on
average) extremely poor analytic ability. So maybe, I thought, my poor
memory is related to my ability at math, physics, and abstract
reasoning. If so, then I should not regret my poor memory.
So
I’ve lived with this disability my entire life. I have poor memory for
facts, foreign languages, people’s names, even faces. Fortunately, with a
career in physics, this disability has not been disabling. -Richard Muller
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