Multivariable Calculus 15 | Multi-Index Notation [dark version]

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This video is the first about the multi-index notation in analysis.

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(This explanation fits to lectures for students in their first year of study: Mathematics for physicists, Mathematics for the natural science, Mathematics for engineers and so on)

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Комментарии
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At 6:25, the factorial of the multi-indices \alpha and \beta is not well-defined since clearly their component wise difference need not be a nonnegative integer (i.e., it may be negative) and hence it need not be itself a multi-index. Therefore it is unclear what is meant, or rather, it is undefined.

I really like your videos, the explanations are always great! Keep up the good work.

FF-mswq
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At the end of this series will you cover analysis in normed vector spaces and general metric spaces?

mastershooter
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Hi!
I'm a19 year's old who intrested in math like this
I'm studying in engineering college and I'm studying calculus
I would ask what is after calculus to study multivariable calculus?

hamzaswehli