Multidimensional Real Analysis I

Differentiation
Erscheinungsjahr 2007
ISBN: 978-0-521-55114-4
Verlag: Cambridge University Press

Buch, Englisch, Band 86, 440 Seiten, Format (B × H): 157 mm x 235 mm, Gewicht: 867 g

Reihe: Cambridge Studies in Advanced Mathematics

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.

Autoren/Hrsg.

Duistermaat, J. J.

Kolk, J. A. C.

Weitere Mitwirkende

van Braam Houckgeest, J. P.

Fachgebiete

• Mathematik | Informatik Mathematik Stochastik Mathematische Statistik
• Mathematik | Informatik Mathematik Mathematische Analysis Reelle Analysis
• Mathematik | Informatik Mathematik Stochastik Wahrscheinlichkeitsrechnung

Inhaltsverzeichnis

Preface; Acknowledgements; Introduction; 1. Continuity; 2. Differentiation; 3. Inverse function and implicit function theorems; 4. Manifolds; 5. Tangent spaces; Exercises; Notation; Index.