Home Science Page Data Stream Momentum Directionals Root Beings The Experiment
This book is a mathematical study of Iterative Equations based in the infinite continued fraction. The first Notebook derives some general iterative equations which compute square roots; the second Notebook derives the general iterative equations which compute any root. Then something unusual happened. We, me and all my selves, discovered that these Root Beings exist as a mathematical model in the Quest for Mastery. This is the topic of the third Notebook. Under the same spotlight the fourth Notebook examines the fractal nature of ¹ and other patterned transcendentals, bringing all of these diverse numbers into the same family, hence the name of the book, Root Beings & Their Extended Family.
21. Square Root Family0. General statements about the structure of numbers
1. The Infinite Continued Fraction and Denominator Series for √2
2. The Infinite Continued Fraction and Denominator Series for √a
3. The Infinite Continued Fraction and Denominator Series for √a/b
4. More on the Denominator Series
5. More on the Infinite Continued Fraction Series
6. The Slope of the implied Line of the Difference Series
7. The Complex Spiral of the Imaginary World
22. Higher Roots0. Context for Exploration
1. Cube Root Algebra
2. Fourth Root Algebra
3. General Root Algebra
4. Binomializing the F&D Series
Summary & Conclusions
23. Root Beings1. Laying Foundations24. Leftovers
2. Stressed out equations
3. Pictures of Root Beings
4. The Quest Metaphor1. The General Inverse Function
2. Dead Ends
3. Organization of the Mandelbrot Set
4. The Inbetween Fractional Root
5. Properties of Binomial Root System
6. Fractal π and other Patterned Transcendentals
Science PageBook 1: Dynamics of Behaviour
Book 2: Directionals: Content, Context & Beauty
Book 3: Root Beings & their Family
Book 4: The Creative Pulse
Questions or comments?