## Reference Topics 18-4

This is a more advanced site than we need for the introduction in this book, but check out the following discussion of area under a curve:

https://www.intmath.com/integration/3-area-under-curve.php… See the whole entry

This is a more advanced site than we need for the introduction in this book, but check out the following discussion of area under a curve:

https://www.intmath.com/integration/3-area-under-curve.php… See the whole entry

This is a more advanced site than we need for the introduction in this book, but check out the following choices on this site:

“Secants and tangents”

http://clas.sa.ucsb.edu/staff/lee/Secant,%20Tangent,%20and%20Derivatives.htm… See the whole entry

This is a more advanced site than we need for the introduction in this book, but check out the following choices on this site:

http://www.coolmath.com/lesson-whats-a-limit-1… See the whole entry

Zeno’s paradox is discussed at this site:

http://mathforum.org/isaac/problems/zeno1.html

An interesting article on mathematical modeling and why it is important is found at this site:

http://www.mtholyoke.edu/courses/jmorrow/math_models.html… See the whole entry

An excellent source can be found on the website of the Mathematical Association of America. It discusses the U.S. Constitution and its apportionment paradoxes.

http://www.maa.org/publications/maa-reviews/mathematical-theory-of-democracy

This site reviews a book on Elections and Voting.

http://www.maa.org/publications/maa-reviews/the-mathematics-of-elections-and-voting

This site reviews apportionment paradoxes.… See the whole entry

This site gives apportionment data using the 2000 census.

https://www.census.gov/topics/public-sector/congressional-apportionment.html

You can find the reference to Article 1, Section 2 of the United States Constitution (among many other interesting things) at this site:

http://www.law.cornell.edu/constitution/constitution.articlei.html

Data from the first federal congress … See the whole entry

This site on voting discusses some of the voting dilemmas encountered in this section:

http://mathworld.wolfram.com/Voting.html

This site by the American Mathematical Society gives an excellent overview of voting and elections.

http://www.ams.org/featurecolumn/archive/voting-introduction.html

This site gives some references to Arrow’s Impossibility Theorem:… See the whole entry

This site by the American Mathematical Association gives an excellent overview of voting and elections.

http://www.ams.org/featurecolumn/archive/weighted1.html

This interesting cite is attempting to build a case in favor of a wider use of approval voting.

http://bcn.boulder.co.us/government/approvalvote/goodsoc.html… See the whole entry

Here is an overview of linear programming:

http://www.zweigmedia.com/RealWorld/LPGrapher/lpg.html… See the whole entry

This is an interactive site discussing matrix operations:

http://www.mathportal.org/calculators/matrices-calculators/matrix-operations-calculator.php

This is an interactive site finding inverse matrices:

http://www.mathportal.org/calculators/matrices-calculators/matrix-calculator.php

This is a nice matrix operation site which also includes Gauss-Jordan elimination:

http://matrix.reshish.com/inverse.php… See the whole entry