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\centerline {\bf C O N T E N T S}
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\line{\bf List of Basic Notations and Frequently Used Symbols\dotfill{} 1}

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\line{\bf 
A. Measures and Measurable Functions\dotfill{} 2}

1. The Lebesgue Measure

2. Abstract Measures

3. Measurable Functions

4. Construction of Measures from Outer Measures

5. Classes of Sets and Set Functions

6. Signed and Complex Measures
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\line{\bf B. The Abstract Lebesgue Integral\dotfill{} 22}

7. Integration on $\er$

8. The Abstract Lebesgue Integral \

9. Integrals Depending on a Parameter \

10. The $L^p$ Spaces \

11. Product Measures and the Fubini Theorem \

12. Sequences of Measurable Functions \

13. The Radon-Nikod\'ym Theorem and the Lebesgue Decomposition \


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\line{\bf C. Radon Integral and Measure \dotfill{} 47}

14. Radon Integral and  Radon Outer Measure \

15. Radon Measures \

16. Riesz Representation Theorem

17. Sequences of Measures \

18. Luzin's  Theorem \

19. Measures on Topological Groups \

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\line{\bf D. Integration on $\er$ \dotfill{} 67}

20. Integral and Differentiation \

21. Functions of Finite Variation and Absolutely Continuous Functions \

22. Theorems on Almost Everywhere Differentiation \

23. Indefinite Lebesgue Integral and Absolute Continuity \

24. Radon Measures on $\er$ and Distribution Functions \

25. Henstock--Kurzweil Integral \


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\line
{\bf E. Integration on $\rn$ \dotfill{} 84}

26. Lebesgue Measure and Integral on $\rn$ \

27. Covering Theorems \

28. Differentiation of Measures \

29. Lebesgue Density Theorem and Approximately Continuous Functions \

30. Lipschitz Functions \

31. Approximation Theorems \

32. Distributions \

33. Fourier Transform \

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\line
{\bf F. Change of Variable Formula and $k$-dimensional Measures \dotfill{} 115}


34. Change of Variable Theorem

35. The Degree of a Mapping

36. Hausdorff Measures

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\line
{\bf G. Surface and Curve Integrals\dotfill{} 132}


37. Integral Calculus in Vector Analysis

38. Integration of Differential Forms

39. Integration on Manifolds


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\line{\bf H. Vector Integration  \dotfill{} 153}

40. Measurable functions \

41. Vector Measures \

42. The Bochner Integral \

43. The Dunford and Pettis Integrals \

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\line{\bf Appendix on Topology \dotfill{} 162}

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\line{\bf Bibliography and References \dotfill{} 164}

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\line{\bf A Short Guide to the Notation\dotfill{} 172}
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\line{\bf Subject Index \dotfill{} 174}

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