Multidimensional Real Analysis I: Differentiation

ISBN-13: 9780521551144 / Angielski / Twarda / 2004 / 444 str.

J. J. Duistermaat; J. A. C. Kolk; Johan A. C. Kolk

Opis

Volume 1 provides a comprehensive review of differential analysis in multidimensional Euclidean space.

Recenzje

'Throughout the notation is carefully organized and all proofs are complete and rigorous. The text is completed by carefully worked examples, many of them are illustrated by drawings. A special feature of the book is the extensive collection of exercises … The book is a good preparation for readers who wish to go on to more advanced studies in analysis. It can be also highly recommended as a text for a course or for self study.' Zentralblatt fur Mathematik

Spis treści

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