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Mathematics
Quick fact
The Dirichlet function—which is 1 on rational numbers and 0 on irrationals—is not Riemann integrable on any interval, yet its Lebesgue integral is exactly 0 because the rationals have Lebesgue measure zero.
Why this is interesting
You know the area under a curve. But what if the curve is so messy that the area is undefined? The Riemann integral fails, and the Lebesgue integral rescues us—but how?
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Subjects · study & training · careers
Choose something you are considering. FACTREE will give you a clear picture of what it contains, how its main parts connect and where it could lead.
This private catalogue connects 31 subjects, study routes and careers across six broad areas. Public Maps and learner routes remain off.
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See what programming involves, how its main areas connect, and whether you find the knowledge interesting enough to take it further.
Structuring the Programming Map…
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