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  • eBook:The Real Numbers and Real Analysis

    The Real Numbers and Real Analysis

    Ethan D. Bloch
    978-0-387-72177-4
    2011
    Edition 1
    • Provides an unusually thorough treatment of the real numbers, emphasizing their importance as the basis of real analysis
    • Presents material in an order resembling that of standard calculus courses, for the sake of student familiarity, and for helping future teachers use real analysis to better understand calculus
    • Emphasizes the direct role of the Least Upper Bound Property in the study of limits, derivatives and integrals, rather than making use of sequences for proofs
    • Presents the equivalence of various important theorems of real analysis with the Least Upper Bound Property
    • Relates real analysis to previously learned materal, including detailed discussion of such topics as the transcendental functions, area and the number pi
    • Offers three different entryways into the study of real numbers, depending on the student audience
    • Contains historical context, biographical anecdotes, and reflections on the material in each chapter
    • Includes over 350 exercises, reinforcing concepts
    • Includes supplementary material: sn.pub/extras

    €419

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