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Bitsize is the BBC’s collection of free short videos and lessons (they’re all bite-sized) on over fifty subjects taught in Primary or Secondary education. Topics include languages, music, technology, social studies, science, engineering, maths, journalism, and more.
. • At school, study maths, physics, biology and chemistry. Chi Hwan recommends taking courses in linear algebra, multivariate calculus, chemistry, statistics, dynamics, electricity, magnetism, physics and programming while at university. Some universities will offer degrees in biomedical engineering.
So did that mean we were “finished” with calculus? Somewhere along the way we built out discrete calculus , asymptotic expansions and integral transforms. And in Version 14 there are significant advances around calculus. Another advance has to do with expanding the range of “pre-packaged” calculus operations.
But then—basically starting in the early 1980s—there was a burst of progress based on a new idea (of which, yes, I seem to have ultimately been the primary initiator): the idea of using simple programs , rather than mathematical equations, as the basis for models of things in nature and elsewhere. Chemistry / Molecular Biology.
But then—basically starting in the early 1980s—there was a burst of progress based on a new idea (of which, yes, I seem to have ultimately been the primary initiator): the idea of using simple programs , rather than mathematical equations, as the basis for models of things in nature and elsewhere. Chemistry / Molecular Biology.
And indeed particularly in chemistry and engineering it’s often been in the background, justifying all the computations routinely done using entropy. There’s lots of rhetoric: The applicability of the calculus of probabilities to a particular case can of course never be proved with precision.
It didn’t help that his knowledge of physics was at best spotty (and, for example, I don’t think he ever really learned calculus). In 2015 Ed told me a nice story about his time at Caltech: In 1952–53, I was a student in Linus Pauling’s class where he lectured Freshman Chemistry at Caltech. But how can one work out the n ∞ case?
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