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Approximations for Digital Computers (Princeton Legacy Library)


Approximations for Digital Computers (Princeton Legacy Library)

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    Available in PDF Format | Approximations for Digital Computers (Princeton Legacy Library).pdf | English
    Cecil Hastings(Author) Jeanne T. Wayward(Assistant) James P. Wong(Assistant)
Numerical analysts and computer operators in all fields will welcome this publication in book form of Cecil Hastings' well-known approximations for digital computers, formerly issued in loose sheets and available only to a limited number of specialists. In a new method that combines judgment and intuition with mathematics, Mr. Hasting has evolved a set of approximations which far surpasses in simplicity earlier approximations developed by conventional methods. Part I of this book introduces the collection of useful and illustrative approximations, each of which is presented with a carefully drawn error curve in Part II. Originally published in 1955. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These paperback editions preserve the original texts of these important books while presenting them in durable paperback editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
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Review Text

  • By Gareth Greenwood on 6 August 2013

    A classic text in which the author provides polynomial and rational approximations for what is effectively a set of base functions whence it is possible to compute a wide range of mathematical and statistical functions. The style is best described as like a very early PowerPoint presentation. As is far as this reviewer is aware, it was unique in its time and remains a quirky combination of intuition and formal mathematics. In places it is quite hard to follow but perseverance is worth the effort and hugely helped by the copious diagrams. Forman Acton, himself the writer of a highly regarded text on numerical computation, called Cecil Hastings, the author, a "prince of approximators" - a title he well deserved.If you need to develop good intuitions for approximating mathematical functions so as to get a good trade-off between accuracy and speed, you can do a lot worse than getting a copy of this book and working through the examples. Despite the idiosyncratic (and admittedly in places opaque) style, the working-through conveys a good feel for Chebyshev approximation. Areas of application for such functions include 3D computer graphics, GPS devices, programmable logic controllers and many more. The only real snag is that error analysis of the presented approximants is omitted.Don't be put off by the date of publication. Books like this are timeless. The secondhand copy I bought had been sold off from the library of Reading College, I can only think by some ignoramus who did not appreciate its value. Makes you think that Reading needs a few more competent librarians :-O

  • By Dennis Mobberley on 24 October 2014

    This is the Hastings classic ( long out of print ) that furnished the precision polynomial approximations of transcentental functions that Abramowitz and Stegan included in their own manual.Unlikely ever to be bettered.

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