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The Web of Life
— Fritjof Capra
The Fractal Geometry of Nature
— Benoit Mandelbrot
The Tao of Physics
— Fritjof Capra
Chaos: Making a New Science
— James Gleick |
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New mathematics
The mathematics of relationships and patterns. Includes fractal geometry and chaos theory.
Also called dynamical systems theory and maths of complexity (See pages 68-69)
Linear equation
An equation like x=4y, where higher the value of y,
higher the value of x (See pages 68-69)
Nonlinearity
A 'chaotic' system where a minor change in the initial
conditions can lead to a major deviation in the result and a major change may result in a
minor deviation (See pages 70)
Complex Numbers
A combination of a real and imaginary number. For
example, 2+5i is a complex number, where i is the square root of –1
Iteration
The feedback process where the end result of the last
calculation becomes the beginning constant of the next (See pages 70-71)
Fractals
Fractals are non-regular geometric shapes that have the
same degree of non-regularity on all scales (See pages66-67)
Self-Similarity
A shape that you can zoom in on a part of it any number
of times and it would still look the same (See pages 66-67)
Mandelbrot Set
A complex fractal housing millions of other fractals
(See pages 70-71)
Chaos Theory
An attempt to find mathematically unpredictable results
in systems that are thought to be orderly (See pages 74)
Ecoliteracy
Understanding the principles of organisation of
ecosystems and using these systems to sustain human communities (See pages 72-73)
The Butterfly Effect
The wing movements of a butterfly in Peru may
ultimately cause a hurricane in Texas (See pages 74) |
