Deterministic & Random Evolution

Buch | Hardcover

192 Seiten

2013
Nova Science Publishers Inc (Verlag)
978-1-62618-014-7 (ISBN)

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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.

Preface; Introduction; Basic Concepts; Deterministic Systems: Outline of Advanced Topics; Planetary Motion; Is Time Reversible?; The Bernoulli Shift & the Logistic Map; Evolution on Two Time-Scales; Stability & Bifurcations; Scripts; Two Oscillators: Periodicity, Ergodicity, & Phase Locking; The Gambler's Ruin Problem; Gambler's Ruin: Probabilities & Expected Time; Stochastic Model of a Simple Growth Process; Introduction to Kinetic Theory; Random Evolution: From Order to Chaos; References; Index.

Verlagsort	New York
Sprache	englisch
Maße	180 x 260 mm
Gewicht	578 g
Themenwelt	Naturwissenschaften ► Biologie ► Evolution
ISBN-10	1-62618-014-8 / 1626180148
ISBN-13	978-1-62618-014-7 / 9781626180147
Zustand	Neuware