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

419