After Isaac Newton's great success in celestial mechanics, a world
view of determinism was held by many scientists in the 1700 and
1800's. This ended with the development of quantum mechanics, which
introduced randomness at a fundamental level of our understanding
of nature. In this book, the author introduces basic mathematical
concepts for deterministic and random evolution. Among these are
stability, bifurcation, hysteresis, time scales, expected value and
variance. The gambler's ruin problem, growth processes in biology,
and Ehrenfest's urn model illustrate random evolutions. The author
also uses mathematical concepts to briefly discuss the arrow of
time, determinism and free will, and creation vs. evolution.
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