## 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

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

- Introduction
- measure
- precision/accuracy
- accuracy procedure used in this book
- metric world in 2010

- Measuring length
- define length
- U.S. system
- metric system

- standard length units
- U.S. system
- metric system; prefixes

- define length
- Perimeter
- define perimeter
- formulas
- equilateral triangle
- rectangle
- square

- Circumference

A variety of proofs of the Pythagorean theorem are found at this site. There are also some interesting remarks concerning this theorem:

http://www.cut-the-knot.org/pythagoras/index.shtml

For those of you who think that irrational numbers can be written in some (yet unknown) … See the whole entry

The most famous real numbers that are not rational are the numbers pi and *e*. However there are many interesting constants in mathematics, as described at the following site:

http://sprott.physics.wisc.edu/pickover/trans.html

The number 0, the additive identity, is the subject … See the whole entry

- Definition of real numbers
- definition
- decimal representation
- terminating decimal
- repeating decimal
- change fractional form to decimal form
- change terminating decimal form to fractional form

- real number line
- unit distance
- number line
- dense set

- classifications within the set of