Index of notations
Prologue
1
[0, +00]
Chapter 1
ll^l l
L(PJ)
U(PJ)
P1UP2
J a
I f(x)d:
J a
I f(x)d
J a
X
Set of real numbers, 1
Extended real numbers, 1
The collection of all intervals,
The set {x GM*|x0} , 1
Empty set, 1
Norm of a partition P, 6
Lower sum of / with respect to P, 6
Upper sum of / with respect to P, 7
Common refinement of P\ and P2, 7
Lower integral, 10
Riemann integral of / over [a, 6], 10
Upper integral, 10
Regular partition of an interval 14
Positive part of a function, 16
Negative part of a function, 16
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