The Nature of Mathematics, 12th Edition
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Section 17.4 Homework Hints

    Problems 1-4
    Read the section first and then paraphrase each of the requested paradoxes or theorems are saying.
    Problems 5-6
    Remember that with the Adam's plan the standard quota with a decimal portion is rounded up. These problems are checking to see if the quota rule is violated, as shown in Example 2.
    Problems 7-10
    Remember that with Jefferson's plan the standard quota with a decimal portion is rounded down. These problems are checking to see if the quota rule is violated, as shown in Example 2.
    Problems 11-14
    These problems are checking to see if the Alabama paradox occurs. See Example 3.
    Problems 15-18
    These problems are checking to see if the population paradox occurs.
    See Example 4.
    Problems 19-22
    These problems are checking to see if the new states paradox occurs.
    See Example 5.
    Problems 23-26
    These problems are verifying the Balinski and Young impossibility theorem.

    Note: Homework Hints are given only for the Level 1 and Level 2 problems.

    However, as you go through the book be sure you look at all the examples in the text. If you need hints for the Level 3 problems, check some sources for help on the internet (see the LINKS for that particular section. As a last resort, you can call the author at (707) 829-0606.

    On the other hand, the problems designated "Problem Solving" generally require techniques that do not have textbook examples.

    There are many sources for homework help on the internet.

    Algebra.help
    Here is a site where technology meets mathematics. You can search a particular topic or choose lessons, calculators, worksheets for extra practice or other resources.
    http://www.algebrahelp.com/

    Ask Dr. Math
    Dr. Math is a registered trademark. This is an excellent site at which you can search to see if your question has been previously asked, or you can send your question directly to Dr. Math to receive an answer.
    http://mathforum.org/dr/math/
    Quick Math
    This site provides online graphing calculators. This is especially useful if you do not have your own calculator.
    http://www.quickmath.com/

    The Math Forum @ Drexel
    This site provides an internet mathematics library that can help if you need extra help. For additional homework help at this site, click one of the links¹in the right-hand column.
    http://mathforum.org/

    Mathematics Home Page
    Access the Clemens and Alcuins Library of CSB/SJU and find one of the world's best collections of mathematical internet sites.
    http://library.csbsju.edu/rqs.phtml?subject_id=32

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