Reference Topics Archives - The Nature of Mathematics - 13th Edition

Reference Topics 8-3

March 25, 2025July 23, 2015 by elaine

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

Reference Topics 18-3

May 21, 2024July 23, 2015 by elaine

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”
https://www.mathsisfun.com/geometry/tangent-secant-lines.html… See the whole entry

Reference Topics 18-2

April 25, 2018July 23, 2015 by elaine

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

Reference Topics 18-1

May 21, 2024July 23, 2015 by elaine

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:
https://www.skylineuniversity.ac.ae/knowledge-update/from-different-corners/why-is-mathematical-modelling-so-important… See the whole entry

Reference Topics 17-4

September 9, 2024July 23, 2015 by elaine

This site reviews apportionment paradoxes.
http://www.cut-the-knot.org/ctk/Democracy.shtml… See the whole entry

Reference Topics 17-3

July 13, 2018July 23, 2015 by elaine

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

Reference Topics 17-2

May 21, 2024July 23, 2015 by elaine

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

You can use this site to find real-life examples of voting dilemmas:
http://www.archives.gov/

This … See the whole entry

Reference Topics 17-1

May 21, 2024July 23, 2015 by elaine

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

Reference Topics 16-5

July 22, 2015 by elaine

Here is an overview of linear programming:
http://www.zweigmedia.com/RealWorld/LPGrapher/lpg.html… See the whole entry

Reference Topics 16-4

July 22, 2015 by elaine

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