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  3. Multidimensional Real Analysis I
  • Cited by 14
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    • Publisher:
      Cambridge University Press
      Publication date:
      January 2010
      May 2004
      ISBN:
      9780511616716
      9780521551144
      DOI:
      https://doi.org/10.1017/CBO9780511616716
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.707kg, 444 Pages
      Dimensions:
      Weight & Pages:
      • Subjects:
      Mathematics (general), Mathematics, Real and Complex Analysis
      Series:
      Cambridge Studies in Advanced Mathematics (86)
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    • Selected: Digital
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    Subjects:
    Mathematics (general), Mathematics, Real and Complex Analysis
    Series:
    Cambridge Studies in Advanced Mathematics (86)
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    Book description

    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.

    Reviews

    ‘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.‘

    Source: Zentralblatt fur Mathematik

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