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Approximations for digital computers / by Cecil Hastings, Jr. ; assisted by Jeanne T. Hayward, James P. Wong, Jr.

By: Contributor(s): Material type: TextTextSeries: Princeton legacy libraryPublication details: Princeton, NJ : Princeton University Press, 2015.Description: 1 online resource (viii, 201 pages) : illustrationsContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 1400875595
  • 9781400875597
  • 0691653100
  • 9780691653105
Subject(s): Genre/Form: Additional physical formats: No title; No titleDDC classification:
  • 510.78
LOC classification:
  • QA76
Online resources:
Contents:
Part I ; Concerning best fit -- Linear weights -- An iterative procedure -- Solution of equations -- Chebyshev polynomials -- Concerning weights -- Function with a peak -- Rates of convergence -- Choice of form -- A scoring-camera problem.
Part II. Sheet[s] ; [Functions {listed by mathematical formula}] Sheet 1 -- Sheet 5 -- Sheet 8 -- Sheet 14 -- Sheet 17 -- Sheet 21 -- Sheet 24 -- Sheet 26 -- Sheet 30 "Total Klein-Nishina cross section" function -- Sheet 31 -- Sheet 35 -- Sheet 40 -- Sheet 43 -- Sheet 46 -- Sheet 49 -- Sheet 52 -- Sheet 57 -- Sheet 61 -- Sheet 64 -- Sheet 67 -- Sheet 69 -- Sheet 71 -- Sheet 74.
Summary: 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. Our investigation is of a numerical and empirical nature. Part I of this book serves as an introduction to the collection of approximations given 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 request. Each sheet of the seventy-odd issued in this series contains an approximation of a useful or illustrative nature presented with a carefully drawn error curve.
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Includes bibliographical references for Part II (page 201).

Part I ; Concerning best fit -- Linear weights -- An iterative procedure -- Solution of equations -- Chebyshev polynomials -- Concerning weights -- Function with a peak -- Rates of convergence -- Choice of form -- A scoring-camera problem.

Part II. Sheet[s] ; [Functions {listed by mathematical formula}] Sheet 1 -- Sheet 5 -- Sheet 8 -- Sheet 14 -- Sheet 17 -- Sheet 21 -- Sheet 24 -- Sheet 26 -- Sheet 30 "Total Klein-Nishina cross section" function -- Sheet 31 -- Sheet 35 -- Sheet 40 -- Sheet 43 -- Sheet 46 -- Sheet 49 -- Sheet 52 -- Sheet 57 -- Sheet 61 -- Sheet 64 -- Sheet 67 -- Sheet 69 -- Sheet 71 -- Sheet 74.

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. Our investigation is of a numerical and empirical nature. Part I of this book serves as an introduction to the collection of approximations given 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 request. Each sheet of the seventy-odd issued in this series contains an approximation of a useful or illustrative nature presented with a carefully drawn error curve.

Print version record.

In English.

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