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Title: Handbook of Mathematical Functions With Formulas, Graphs and Mathematical Tables by Milton Abramowitz, Irene E. Stegun ISBN: 0-88307-589-X Publisher: Gannon Distributing Co Pub. Date: December, 1972 Format: Textbook Binding List Price(USD): $29.00 |
Average Customer Rating: 4.43 (7 reviews)
Rating: 4
Summary: Once Great
Comment: I probably would never have gotten my PhD without this book, and it is a stupendous classic. Nowdays, though, my first resort is always Maple or Mathematica, with their manifold capabilities. I still find it useful for trying to understand what those programs are doing by way of simplification (or, more commonly, not doing). Eventually Maple and Mathematica will figure out that they need to couple a powerful explanatory capability to their marvelous algorithms, and this book will become truly obsolete - but that date is not yet here as of 2004.
Four stars only because it has been partly overcome by history. 5 Plus for its historical importance.
Rating: 5
Summary: Improved my insight and understanding each time used
Comment: I have enjoyed using this book over quite some time. Its comprehensiveness promised to never let me down. It did keep the promise since the late seventies. Whenever I needed a clearer picture, perhaps a reason why a function did behave the way it did, I found the additional clarification here. Glad it exists.
Rating: 3
Summary: Excellent, but with limitations
Comment: This book, originally published in 1964 by the National Bureau of Standards, is the result of a project started in 1954. It provides information on most of the functions then widely used in numerical computation in engineering and the physical sciences, including many formulas, and numerical tables of values for most of the functions.
In 2001 it has two drawbacks. First, because algorithms for computing numerical values of mathematically functions have improved dramatically over the 37 years since this work was published, you will not find suitable algorithms for computing values of the various functions discussed. To write a program for a computer or programmable calculator to produce values of any of these functions, you should use algorithms obtained from more modern works.
Second, and for much the same reason, you should not assume that all the numerical values given in all the tables are completely accurate; in 1964 calculations of some of these values with then-known algorithms pushed the state of the art to the limit. For example, in Table 7.3, "Complementary Error Function", two of the values attributed to a 1951 table by O. Emersleben are slightly incorrect in the last digit tabulated. This is not a criticism of this book, or of Emersleben; accurate calculation of values of the complementary error function for large arguments is tricky, and I have found similar errors in tables compiled more recently. However, good algorithms are now known, and should be used by anyone who desires reliable values.
These days I find this book still useful for refreshing my memory on various of the many formulas it contains, but for numerical values I prefer to rely on more recent sources, or on programs that derive values using the better algorithms known these days.
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Title: Table of Integrals, Series, and Products by I. S. Gradshteyn, I. M. Ryzhik, Alan Jeffrey, Daniel Zwillinger ISBN: 0122947576 Publisher: Academic Press Pub. Date: 31 July, 2000 List Price(USD): $88.95 |
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Title: Special Functions and Their Applications by N. N. Lebedev, NikolaÖI Nikolaevich, Mathematician. Lebedev, Richard A. Silverman ISBN: 0486606244 Publisher: Dover Publications Pub. Date: 01 June, 1972 List Price(USD): $14.95 |
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Title: Schaum's Mathematical Handbook of Formulas and Tables by Murray R Spiegel ISBN: 0070382034 Publisher: McGraw-Hill Trade Pub. Date: 31 October, 1998 List Price(USD): $16.95 |
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Title: Introduction to Bessel Functions by F. Bowman ISBN: 0486604624 Publisher: Dover Publications Pub. Date: 01 March, 1968 List Price(USD): $7.95 |
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Title: Partial Differential Equations for Scientists and Engineers (Dover Books on Advanced Mathematics) by Stanley J. Farlow ISBN: 048667620X Publisher: Dover Publications Pub. Date: 01 September, 1993 List Price(USD): $15.95 |
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