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Excursions in Modern Mathematics, Seventh Edition, shows readers that math is a lively, interesting, useful, and surprisingly rich subject. With a new chapter on financial math and an improved supplements package, this book helps students appreciate that math is more than just a set of classroom theories: math can enrich the life of anyone who appreciates and knows how to use it.
This collection of "excursions" into modern mathematics consists of four independent learning modules--1) Social Choice, 2) Management Science, 3) Growth and Symmetry, and 4) Statistics. It is written in an informal, very readable style, with pedagogical features that make material both interesting and clear. Coverage centers around an assortment of real-world examples and applications, demonstrating the beauty and relevance of mathematics.
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| The Mathematics of Social Choice | |
| The Mathematics of Voting: The Paradox of Democracy | |
| Preference Ballots and Preference Schedules | |
| The Plurality Method | |
| The Borda Count Method | |
| The Plurality-with-Elimination Method (Instant Runoff Voting) | |
| The Method of Piecewise Comparisons | |
| Rankings | |
| Profile: Kenneth J. Arrow | |
| Key Concepts | |
| Exercises | |
| Projects and Papers | |
| References and Further Readings | |
| The Mathematics of Power: Weighted Voting | |
| An Introduction to Weighted Voting | |
| The Banzhaf Power Index | |
| Applications of the Banzhaf Power Index | |
| The Shapely-Shubik Power Index | |
| Applications of the Shapely-Shubik Power Index | |
| Profile: Lloyd S. Shapely | |
| Key Concepts | |
| Exercises | |
| Projects and Papers | |
| References and Further Readings | |
| The Mathematics of Sharing: Fair-Division Games | |
| Fair-Division Games | |
| Two Players: The Divider-Chooser Method | |
| The Lone-Divider Method | |
| The Lone-Chooser Method | |
| The Last-Diminisher Method | |
| The Method of Sealed Bids | |
| The Method of Markers | |
| Profile: Hugo Steinhaus | |
| Key Concepts | |
| Exercises | |
| Projects and Papers | |
| References and Further Readings | |
| The Mathematics of Apportionment: Making the Rounds | |
| Apportionment Problems | |
| Hamilton's Method and the Quota Rule | |
| The Alabama and Other Paradoxes | |
| Jefferson's Method | |
| Adams's Method | |
| Webster's Method | |
| His | |
| Table of Contents provided by Publisher. All Rights Reserved. |
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