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The book contains a detailed account of the first non-Newtonian calculus. In this multiplicative system, the well-known geometric average is the 'natural' average, and the exponential functions play the role that the linear functions play in the classical calculus of Newton and Leibniz.
This calculus provides nonlinear mathematical tools for use in science, engineering, and mathematics. It appears to have considerable potential for use as an alternative to the classical calculus. It may well be that this non-Newtonian calculus can be used to define new concepts, to yield new or simpler laws, or to formulate or solve problems.