Goffman (Purdue U.), et al. introduce the non-classical mathematical domain of real analysis, in which discontinuous functionals (i.e. collections of functions) are of as much interest as the continuous functions of topology. Coverage is provided of the one dimensional case, mappings and measures of R n (associated with functions of nonparametric length and area), and Fourier series with examples, some historical background, and proofs of nonlinear and linear functionals of length, differentiation, and Fourier coefficients. Supplementary materials on sets, functions, and measures. Annotation c. by Book News, Inc., Portland, Or.
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