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Handbook of Mathematical Functions: with Formulas, Graphs, and Mathematical Tables (Dover Books on Mathematics) Paperback – June 1, 1965
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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.
Four stars only because it has been partly overcome by history. 5 Plus for its historical importance.
Most Recent Customer Reviews
Good explanation of the math and useful tables. Highly recommended.Published 15 days ago by Amazon Customer
This books is a must-have book for graduated student. The quality is very good and I'm satisfied with this book.Published 1 month ago by Amazon Customer
This book is great to have around, it offers tons of solutions to integrals, series, functions, etc... Read morePublished 7 months ago by Ssound
Should have called it "handbook of tables" instead of "handbook of functions". It's mostly tables. Read morePublished 11 months ago by My Public Name
This has most everything I've ever needed in it. It's the first place I look for most identities, and almost always has the needed information. Read morePublished 15 months ago by Anonymous3141
Great text for anyone in an engineering, science or math field. Although most personal computers have processors capable of evaluating these tables, there is still no comparison to... Read morePublished 16 months ago by andrew sundquist
I think the most usefulness of this book is that there are symbolic polynomial rooting at the 5th order which is the maximum order which is ever published. Read morePublished on July 5, 2014 by Kittipong Tripetch
Sometimes special functions will unexpectedly appear in one's research and it is incredibly useful to have a list of their mathematical properties available on hand.Published on June 21, 2014 by Mark Stoehr