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    Real Analysis Textbook Metric Spaces

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    Please solve the problems in B.pdf file by using the textbook.

    The topics covered in this problem set are:

    1. Metric spaces. Basic concepts ( Sections 5.1-5.2 )

    Problems: - Section 5--# 1,2,4,5,6,7
    2. Convergence. Open and closed sets (Sections 6.1-6.6)

    Problems: - Section 6--# 1,2,3,4,5,9,10
    3. Complete metric spaces (Sections 7.1-7.4)

    Problems: - Section 7--# 1,3,4,5,7,9
    4. Contraction mappings (Sections 8.1-8.3)

    Problems: - Section 8 --# 1,2,4,6
    5. Topological spaces

    a. Basic Concepts (Sections 9.1,9.3,9.5.9.6)

    Problems: - Section 9 --# 1,2,5

    b. Compactness (Sections 10.1-10.3)

    c. Compactness in Metric spaces (Sections 11.1-11.4)

    Problems: - Section 11 --# 1,2,3,4
    d. Real functions on Metric and Topological Spaces(Sections 12.1.12.2)

    Problems: - Section 12 --# 1,2,3,5,6

    6. Linear spaces

    a. Basic Concepts (Sections 13..1-13.6)

    Problems: - Section 13 --# 1,2,3,5,6

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    https://brainmass.com/math/real-analysis/real-analysis-textbook-metric-spaces-248170

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    Solution Summary

    A real analysis for textbook metric spaces is examined.

    $2.49

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