The Mathematical Collage

Ronald Staszkow, Robert Bradshaw 

Custom Publishing | 2006 | 

Versão draft

online: ohlone.edu (capítulos)

PDF

ohlone.edu (link direto)

The Mathematical Collage has been written to meet an Associate Degree general education requirement of a mathematics course with a Beginning Algebra prerequisite. The text shows that mathematics is alive in today's world and helps students see the beauty and power of mathematics. Its contents consists of chapters on the lore of numbers, finance matters, measurement geometry and trigonometry, probability and statistics, and math in sports, It also includes Mathematical Excursions, short trips into various areas where mathematics is used, such as math and the tourist, math and the internet, math and voting, math and nursing, math and the automobile, math and cooking, math and the angler, math and the World Series of Poker.

Fair Voting - Weighted Votes for Unequal Constituencies

William F. Lucas


 COMAP, Inc. |  1992  |  81 páginas | PDF


online: prof2000.pt

Students are challenged to use the mathematics of weighted voting to wrestle with important social issues such as how power can be measured quantitatively, and how power is divided in our government. HiMAP Module 19. 


Table of Contents:

CHAPTER 1: VOTING IN DEMOCRATIC INSTITUTIONS

CHAPTER 2: SOME APPROACHES TO FAIR REPRESENTATION 

CHAPTER 3: PROPORTIONAL WEIGHTED VOTING: A FIRST ATTEMPT TO REALIZE FAIR REPRESENTATION

CHAPTER 4: MEASURING POWER

CHAPTER 5: ADJUSTED WEIGHTED VOTING: A BETTER IDEA

CHAPTER 6: HISTORICAL ASPECTS

CHAPTER 7: ADDITIONAL TOPICS ON WEIGHTED VOTING

REFERENCES

TRANSPARENCIES

The Mathematical Theory of Elections

Joseph Malkevitch


COMAP, Inc. | 1999 |  68 páginas | PDF


online: prof2000.pt
semmathmodeling.wikispaces.com


This module illustrates how mathematics can design and analyze election and ranking methods. Preference schedules, fairness criteria, and weighted voting all demonstrate that how votes are counted can affect the outcome of an election. HiMAP Module 1.

Table of Contents:

SECTION 1: SOME ELECTIONS RESULTS

SECTION 2: TYPES OF BALLOTS

SECTION 3: ELECTION METHODS

SECTION 4: ARROW'S THEOREM

SECTION 5: PROPORTIONAL REPRESENTATION

SECTION 6: RECENT DEVELOPMENTS

REFERENCES

GLOSSARY