Slicing Pizzas, Racing Turtles, and Further Adventures in Applied Mathematics (Princeton Paperbacks) by Banks Robert B

Author:Banks, Robert B. [Banks, Robert B.]
Language: eng
Format: epub
Publisher: Princeton University Press
Published: 2012-05-01T20:00:00+00:00

TABLE 15.2

About half of the 80 billion people lived between 1,000,000 B.C. and 4000 B.C.; the other half since then.

During the nearly 2,000-year period from the year 0 A.D. to 1990, about 32 billion people have lived. This is 40% of the total who have ever lived.

Our final answer, P = 80 billion, agrees fairly well with results obtained by others; they range from 50 billion to 110 billion. Suggested references are Deevey (1960), Goldberg (1983), Keyfitz (1966), and Westing (1981).

We conclude our chapter with a word about the doubling time. By definition, this is simply the time required for a growing quantity to double in magnitude. For example, a quantity may be following an exponential growth relationship. If so, from equation (15.2) it is easy to establish that the doubling time, t2 is

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