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  • Cited by 9
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    • Publisher:
      Cambridge University Press
      Publication date:
      06 July 2010
      13 September 2004
      ISBN:
      9780511755163
      9780521600477
      DOI:
      https://doi.org/10.1017/CBO9780511755163
      Dimensions:
      Weight & Pages:
      Dimensions:
      (253 x 177 mm)
      Weight & Pages:
      0.47kg, 272 Pages
      • Subjects:
      Mathematics, Real and Complex Analysis
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    • Selected: Digital
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    Subjects:
    Mathematics, Real and Complex Analysis
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    Book description

    This self-contained text, suitable for advanced undergraduates, provides an extensive introduction to mathematical analysis, from the fundamentals to more advanced material. It begins with the properties of the real numbers and continues with a rigorous treatment of sequences, series, metric spaces, and calculus in one variable. Further subjects include Lebesgue measure and integration on the line, Fourier analysis, and differential equations. In addition to this core material, the book includes a number of interesting applications of the subject matter to areas both within and outside the field of mathematics. The aim throughout is to strike a balance between being too austere or too sketchy, and being so detailed as to obscure the essential ideas. A large number of examples and 500 exercises allow the reader to test understanding, practise mathematical exposition and provide a window into further topics.

    Reviews

    'The self-contained text, suitable for advanced undergraduates, provides an extensive introduction into mathematical analysis, from the fundamentals to more advanced material.'

    Source: Zentralblatt fur Didaktik der Mathematik

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