Table of Contents

Infinite Sets

Infinite1.html

-- Example 1: a first example of an infinite set

Infinite2.html

-- more on Example 1: countable (or countably infinite) sets

Infinite3.html

-- Example 2: another infinite set

Infinite4.html

-- more on Example 2: uncountable sets

formulas.html

-- some formulas accompanying Example 1

repeating.html

-- repeating decimals; a page accompanying Example 2

The Cantor Set

Cantor1.html

Cantor2.html

Cantor3.html

Cantor4.html

Cantor5.html

Nested.html

-- the nested interval theorem

The Babylonian Method for Computing Square Roots

Babylon1.html

Babylon2.html

Babylon3.html

Examples.html

Means.html

-- a brief discussion of "means" or averages

Monotone.html

-- monotone bounded sequences

Related.html

-- related algorithms

The Common Book of Pi

Pi1.html

-- introduction

Pi2.html

-- the precomputer history of Pi

Pi2a.html

-- the postcomputer history of Pi

Pi3a.html

-- Archimedes' algorithm for computing Pi

Pi3b.html

Pi3c.html

Pi3d.html

Pi3e.html

-- related algorithms

Pi4.html (under construction)

-- the irrationality of Pi

Pi5.html

-- favorite formulas for Pi

Pi6.html (under construction)

-- a modern algorithm for computing Pi

geometry.html

-- a brief review of geometry related to Archimedes' algorithm

geometry-p1.html

geometry-p2.html