《THEORY OF INTEGRATION》求取 ⇩

1.HISTORICAL INTRODUCTION1

2.THE RIEMANN-COMPLETE INTEGRAL13

3.VARIATIONAL PROPERTIES OF THE INTEGRAL39

4.DIFFERENTIATION74

5.LIMITS UNDER THE INTEGRAL SIGN82

6.DOUBLE INTEGRALS AND FUBINI'S THEOREM100

7.THE CAUCHY AND DENJOY EXTENSIONS,AND THE INTEGRAL IN AN INFINITE RANGE113

8.CONNECTIONS WITH EARLIER INTEGRALS121

9.LINEAR TOPOLOGICAL SPACES,YOUNG'S INEQUALITY AND INTEGRATION127

10.INTEGRATION IN STATISTICS148

References162

Index165

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