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Multidimensional Real Analysis I

Multidimensional Real Analysis I
Differentiation

£81.99

Part of Cambridge Studies in Advanced Mathematics

  • Date Published: May 2004
  • availability: Available
  • format: Hardback
  • isbn: 9780521551144

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About the Authors
  • 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.

    • Numerous and innovative exercises with partial solutions to aid the reader
    • Includes results and perspectives on the subject
    • Fully class tested and based on extensive teaching experience
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    Reviews & endorsements

    '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

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    Product details

    • Date Published: May 2004
    • format: Hardback
    • isbn: 9780521551144
    • length: 444 pages
    • dimensions: 235 x 158 x 27 mm
    • weight: 0.707kg
    • contains: 25 b/w illus.
    • availability: Available
  • Table of Contents

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

  • Resources for

    Multidimensional Real Analysis I

    J. J. Duistermaat, J. A. C. Kolk

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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

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