Excursions in Modern Mathematics
ISBN: 9780321568038 | 0321568036
Edition: 7thFormat: Hardcover
Publisher: Pearson
Pub. Date: 12/28/2008
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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 any one who appreciates and knows how to use it.
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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. |
Peter Tannenbaum has bachelor's degrees in Mathematics and Political Science and a Ph. D. in Mathematics, all from the University of California, Santa Barbara. He has held faculty positions at the University of Arizona, Universidad Simon Bolivar (Venezuela), and is currently professor of mathematics at the California State University, Fresno. His current research interests are in the interface between mathematics, politics and behavioral economics. He is also involved in mathematics curriculum reform and teacher preparation. His hobbies are travel, foreign languages and sports. He is married to Sally Tannenbaum, a professor of communication at CSU Fresno, and is the father of three (twin sons and a daughter).
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Excursions in Modern Mathematics
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