...Comments on FUTURE SHOCK C. P. Snow: "Remarkable ... No one ought to have the nerve to pontificate on our present worries without reading it." R. Buckminster Fuller: "Cogent ... brilliant ... I hope vast numbers will read Toffler's book." Betty Friedan: "Brilliant and true ... Should be read by anyone with the responsibility of leading or participating in movements for change in America today." Marshall McLuhan: "FUTURE SHOCK ... is 'where it's at.'" Robert Rimmer, author of The Harrad Experiment: "A magnificent job ... Must reading." John Diebold: "For those who want to understand the social and psychological implications of the technological revolution, this is an incomparable book." WALL STREET JOURNAL: "Explosive ... Brilliantly formulated." LONDON DAILY EXPRESS: "Alvin Toffler has sent something of a shock-wave through Western society." LE FIGARO: "The best study of our times that I know ... Of all the books that I have read in the last 20 years, it is by far the one that has taught me the most." THE TIMES OF INDIA: "To the elite ... who often get committed to age-old institutions or material goals alone, let Toffler's FUTURE SHOCK be a lesson and a warning." MANCHESTER GUARDIAN: "An American book that will ... reshape our thinking even more radically than Galbraith's did in the 1950s ... The book is more than a book, and it will do more than send reviewers raving ... It is a spectacular outcrop of a formidable, organized intellectual effort ... For the first time in history...
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...Chaotic Growth with the Logistic Model of P.-F. Verhulst Hugo Pastijn Department of Mathematics, Royal Military Academy B-1000 Brussels, Belgium Hugo.Pastijn@rma.ac.be Summary. Pierre-Fran¸ois Verhulst was born 200 years ago. After a short biograc phy of P.-F. Verhulst in which the link with the Royal Military Academy in Brussels is emphasized, the early history of the so-called “Logistic Model” is described. The relationship with older growth models is discussed, and the motivation of Verhulst to introduce different kinds of limited growth models is presented. The (re-)discovery of the chaotic behaviour of the discrete version of this logistic model in the late previous century is reminded. We conclude by referring to some generalizations of the logistic model, which were used to describe growth and diffusion processes in the context of technological innovation, and for which the author studied the chaotic behaviour by means of a series of computer experiments, performed in the eighties of last century by means of the then emerging “micro-computer” technology. 1 P.-F. Verhulst and the Royal Military Academy in Brussels In the year 1844, at the age of 40, when Pierre-Fran¸ois Verhulst on November c 30 presented his contribution to the “M´moires de l’Acad´mie” of the young e e Belgian nation, a paper which was published the next year in “tome XVIII” with the title: “Recherches math´matiques sur la loi d’accroissement de la e population” (mathematical investigations of the law of...
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