[Book Cover]

Foundations of Analysis, 1/e

Belding

Published October, 1997 by Prentice Hall Engineering/Science/Mathematics

Copyright 1991, 442 pp.
Cloth
ISBN 0-13-326679-6

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Summary

An accessible but rigorous development of basic analysis that features extended discussions of important ideas, detailed examples of difficult proofs, and reinforcement of basic ideas through repeated exposure in different contexts.

Features


emphasizes WHY various mathematical facts are true.
avoids as mush as possible the distraction of purely rote, computational aspects of calculus, and reduces all exercises (mainly composed of proofs) to a smaller series of steps.
presents each theoretical idea with several paralleling examples proceeding it.


Table of Contents

    1. The Real Number System.
    2. Functions, Limits, Continuity.
    3. Differentiation and Integration.
    4. Sequences and Series.
    5. Calculus in Two Dimensions.
    6. Line Integrals and Green's Theorem.
    7. Complex Analysis.


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