Multidimensional Real Analysis 2 Volume Hardback Set
Two volume set of the authors' comprehensive and innovative work on multidimensional real analysis. These books are based on extensive teaching experience at Utrecht University and 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 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 these books present an original treatment of the subject and they contain 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 these books 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
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
'…these books bring a new and fresh point of view to an old theme. … The carefully worked out and comprehensive set of exercises will be very useful for teachers in their lecturers and seminars. These books can be very much recommended to any teacher of real analysis as well as to general mathematical audience.' EMS Newsletter
Product details
June 2004Multiple copy pack
9780521829304
840 pages
318 × 241 × 74 mm
1.538kg
50 b/w illus.
Temporarily unavailable - available from November 2021
Table of Contents
- Volume 1:
- 1. Continuity
- 2. Differentiation
- 3. Inverse function and implicit function theorems
- 4. Manifolds
- 5. Tangent spaces
- Exercises. Volume 2:
- 1. Integration
- 2. Integration over submanifolds
- 3. Oriented integration
- Exercises.