Includes bibliographical references (page 201).

Concerning best fit -- Linear weights -- Iterative procedure -- Solution of equations -- Chebyshev polynomials -- Concerning weights -- Function with a peak -- Rates of convergence -- Choice of form -- Scoring-camera problem. This monograph deals with the subject of best approximation in the sense of Chebyshev as applied to the problem of making univariate functional data available to the high-speed digital computing machine. Part I of this book serves as an introduction to the collection of approximations in Part II. Part II contains the "Approximations for digital computers," formerly issued as a cumulative publication of loose sheets and made available to numerical analysts upon requests.