Multidimensional Real Analysis 2 Volume Hardback Set: Multidimensional Real Analysis I: Differentiation Vol 1 (Cambridge Studies in Advanced Mathematics)
Cambridge University Press, 5/6/2004
EAN 9780521551144, ISBN10: 0521551145
Hardcover, 444 pages, 23.5 x 15.8 x 2.7 cm
Language: English
Part one 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 differential 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.
Preface
Acknowledgements
Introduction
1. Continuity
2. Differentiation
3. Inverse function and implicit function theorems
4. Manifolds
5. Tangent spaces
Exercises
Notation
Index.