Part two of comprehensive text on multidimensional real analysis. Numerous exercises with partial solutions.Two-volume set of the authors' comprehensive and innovative work on multidimensional real analysis. These books give a thorough account of analysis in multidimensional Euclidean space. They are an ideal preparation for students who wish to go on to more advanced study. The numerous exercises illustrate a variety of applications in mathematics and physics. This combined with the exhaustive and transparent treatment of subject matter make the books ideal as either the text for a course, a source of problems for a seminar or for self study.Two-volume set of the authors' comprehensive and innovative work on multidimensional real analysis. These books give a thorough account of analysis in multidimensional Euclidean space. They are an ideal preparation for students who wish to go on to more advanced study. The numerous exercises illustrate a variety of applications in mathematics and physics. This combined with the exhaustive and transparent treatment of subject matter make the books ideal as either the text for a course, a source of problems for a seminar or for self study.Volume 2 provides a comprehensive review of integral analysis in multidimensional Euclidean space.1. Integration; 2. Integration over submanifolds; 3. Oriented integration; Exercises.'Throughout the text is carefully organized, proofs are complete and rigorous and the material is completed by carefully worked examples.' Zentralblatt fur Mathematik