“In fact the smallest units of matter are
not physical objects in the ordinary sense; they
are forms, ideas which can be expressed unambiguously only in mathematical language.”
There are an estimated 1.618 million web sites dedicated to recreational mathematics. Many of them feature interesting and useful material; but there is mammoth duplication of content. I strongly desire not to contribute to the clutter, hoping to offer perspectives sufficiently unique that they will not be encountered elsewhere.
Doubtless these materials will interest only a small percentage of
visitors. No advanced learning is required here, though;
a reasonable awareness of
high-school math is sufficient.
A Challenge to Mathematicians: Solve the "Black Box" Puzzle
A Special Continued Fraction for Square Roots
Pencil & Paper Square Roots Using Continued Fractions
Some Tips & Tricks for Mental Calculations
Be Your Own Perpetual Calendar — Calculate Dates in Your Head
The articles in this section are designed to be assimilated in numeric sequence. Each page features ideas or methods previously introduced.
1: Introduction to Programming a Four-Function Calculator
2: Integer Powers
3: Integer Roots
5: Compound Interest
7: Extra Decimals for Square Roots
8: Some Arithmetic Shortcuts
Squaring the Square