Modern Theory of Integration, Vol. 32 Book

	Preface
Pt. 1	Integration on compact intervals	1
1	Gauges and integrals	3
2	Some examples	23
3	Basic properties of the integral	41
4	The Fundamental Theorems of Calculus	55
5	The Saks-Henstock lemma	75
6	Measurable functions	89
7	Absolute integrability	101
8	Convergence theorems	115
9	Integrability and mean convergence	135
10	Measure, measurability and multipliers	151
11	Modes of convergence	171
12	Applications to calculus	187
13	Substitution theorems	209
14	Absolute continuity	229
Pt. 2	Integration on infinite intervals	247
15	Introduction to Part 2	249
16	Infinite intervals	255
17	Further re-examination	275
18	Measurable sets	299
19	Measurable functions	323
20	Sequences of functions	347
App. A	Limits superior and inferior	365
App. B	Unbounded sets and sequences	371
App. C	The arctangent lemma	373
App. D	Outer measure	375
App. E	Lebesgue's differentiation theorem	379
App. F	Vector spaces	383
App. G	Semimetric spaces	387
App. H	The Riemann-Stieltjes integral	391
App. I	Normed linear spaces	401
	Some partial solutions	413
	References	443
	Index	449
	Symbol Index	457