9780321568038

Excursions in Modern Mathematics

by
  • ISBN13:

    9780321568038

  • ISBN10:

    0321568036

  • Edition: 7th
  • Format: Hardcover
  • Copyright: 2008-12-28
  • Publisher: Pearson
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Supplemental Materials

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Summary

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.

Author Biography

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).

Table of Contents

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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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