Part two of the authors' comprehensive and innovative work on multidimensional real analysis. This book is based on extensive teaching experience at Utrecht University and gives a thorough account of integral analysis in multidimensional Euclidean space. It is an ideal preparation for students who wish to go on to more advanced study. The notation is carefully organized and all proofs are clean, complete and rigorous. The authors have taken care to pay proper attention to all aspects of the theory. In many respects this book presents an original treatment of the subject and it contains many results and exercises that cannot be found elsewhere. 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 book ideal as either the text for a course, a source of problems for a seminar or for self study.
- Numerous and innovative exercises with partial solutions to aid the reader
- Includes new results and perspectives on the subject
- Fully class tested and based on extensive teaching experience
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Reviews & endorsements
'Throughout the text is carefully organized, proofs are complete and rigorous and the material is completed by carefully worked examples.' Zentralblatt fur Mathematik

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Product details
- Date Published: May 2004
- format: Hardback
- isbn: 9780521829250
- length: 396 pages
- dimensions: 235 x 151 x 25 mm
- weight: 0.645kg
- contains: 25 b/w illus.
- availability: Available
Table of Contents
1. Integration
2. Integration over submanifolds
3. Oriented integration
Exercises.

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Authors
J. J. Duistermaat, Universiteit Utrecht, The Netherlands
J. A. C. Kolk, Universiteit Utrecht, The Netherlands
Translator
J. P. van Braam Houckgeest