Handbook of Mathematical Functions: with Formulas, Graphs, and Mathematical Tables (Paperback)

by Milton Abramowitz (Editor), Irene A. Stegun (Editor)

Editorial Reviews

Product Description

Students and professionals in the fields of mathematics, physics, engineering, and economics will find this reference work invaluable. A classic resource for working with special functions, standard trig, and exponential logarithmic definitions and extensions, it features 29 sets of tables, some to as high as 20 places.

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Product Details Paperback: 1046 pages Publisher: Dover Publications (June 1, 1965) Language: English ISBN-10: 0486612724 ISBN-13: 978-0486612720 Product Dimensions: 10.5 x 7.9 x 1.6 inches Shipping Weight: 3.4 pounds (View shipping rates and policies) Average Customer Review: 4.6 out of 5 stars See all reviews (15 customer reviews) Amazon.com Sales Rank: #82,266 in Books (See Bestsellers in Books)

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Front Cover | Table of Contents | First Pages | Index | Back Cover

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	76% buy the item featured on this page: Handbook of Mathematical Functions: with Formulas, Graphs, and Mathematical Tables 4.6 out of 5 stars (15) $24.39
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15 Reviews 5 star:  (11) 4 star:  (2) 3 star:  (2) 2 star:    (0) 1 star:    (0)           Average Customer Review 4.6 out of 5 stars (15 customer reviews)		Share your thoughts with other customers:
Most Helpful Customer Reviews 88 of 91 people found the following review helpful: 3.0 out of 5 stars Excellent, but with limitations, August 4, 2001 By  Victor A. Vyssotsky "mandvav" (Orleans, MA USA) - See all my reviews (REAL NAME)    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. 29 of 30 people found the following review helpful: 4.0 out of 5 stars Once Great, May 25, 2004 By  Edward M. Measure "Edward Measure" - See all my reviews (REAL NAME)    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. 11 of 11 people found the following review helpful: 5.0 out of 5 stars A & S is one of the true "MUST HAVES", September 23, 1997 By A Customer A & S's Handbook of Mathematical Functions is an absolute must have for any lover of mathematics. The explanations are top rate. With the abilities of computers to tabulate numbers rapidly, the value of the tables is questionable. But the mathematical coverage is absolutely without equal. Any function you can think of, and some that you probably can't are covered in steamy, lurid detail. The paperback is such a great value that it makes me whinge to imagine that any lover of mathematics could possibly pass it by.		Ad feedback   Most Recent Customer Reviews 5.0 out of 5 stars Great Product for a Great Price! Great Product for a Great Price! It was in great condition! Thank you very much! Published 8 months ago by Michael J. Gherini 5.0 out of 5 stars A classic, useful reference There are other good texts out there less than 40 years old, but this in my opinion belongs along with them on the serious engineer's office shelf along with Gradshteyn & Rhyzik... Read more Published 24 months ago by Nu One 5.0 out of 5 stars a must have A good reference for the scientist or the engineer, well organised and easy to use Published on May 26, 2007 by Denis Jaisson 5.0 out of 5 stars A seminal work The amount of material in this book still stuns me, as well as the care that was taken in compiling it. Read more Published on January 29, 2007 by someonesdad 5.0 out of 5 stars May Be The Best Math Functions Book Around The World (First of all, excuse my english, is not my mother lenguage) This book details math functions properties for the most and the less known functions. Read more Published on March 3, 2006 by LIOBA ARAGON REBOLLEDA 5.0 out of 5 stars Abramowitz and Stegun - a required tool box item for the math techie If you work in mathematics, physics, engineering or economics, this reference work should be in your tool box. Read more Published on February 23, 2006 by Fuzzy Lajek 3.0 out of 5 stars Needs a CD version It has been 40 years since Dover released this book. Its virtue has long been the extensive tables of somewhat obscure functions, like the hypergeometrics. Read more Published on February 19, 2006 by W Boudville 5.0 out of 5 stars un grimoire mathématique unique en son genre! Physicien, Handbook of mathematical functions est pratiquement mon livre de chevet. je le consulte bien plus qu' aucun autre document de physique, même plus que les revues... Read more Published on December 1, 2002 by Alain 5.0 out of 5 stars Improved my insight and understanding each time used 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. Read more Published on November 30, 2001 by Joerg D. Rauh 5.0 out of 5 stars The most important handbook I ever seen This book is a compendious of mathematical tables, formulas and graphics. It contains a very complete table of analytical integrals, differential equations and numerical series... Read more Published on June 27, 2001 by Carlos Eduardo Foltran Search Customer Reviews Only search this product's reviews

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Product Details

• Paperback: 1046 pages
• Publisher: Dover Publications (June 1, 1965)
• Language: English
• ISBN-10: 0486612724
• ISBN-13: 978-0486612720
• Product Dimensions: 10.5 x 7.9 x 1.6 inches
• Shipping Weight: 3.4 pounds (View shipping rates and policies)
• Average Customer Review: 4.6 out of 5 stars See all reviews (15 customer reviews)
• Amazon.com Sales Rank: #82,266 in Books (See Bestsellers in Books)

Customer Reviews

Most Helpful Customer Reviews

88 of 91 people found the following review helpful:

3.0 out of 5 stars Excellent, but with limitations, August 4, 2001

By	Victor A. Vyssotsky "mandvav" (Orleans, MA USA) - See all my reviews (REAL NAME)

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.

29 of 30 people found the following review helpful:

4.0 out of 5 stars Once Great, May 25, 2004

By	Edward M. Measure "Edward Measure" - See all my reviews (REAL NAME)

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.

11 of 11 people found the following review helpful:

5.0 out of 5 stars A & S is one of the true "MUST HAVES", September 23, 1997

By A Customer

A & S's Handbook of Mathematical Functions is an absolute must have for any lover of mathematics. The explanations are top rate. With the abilities of computers to tabulate numbers rapidly, the value of the tables is questionable. But the mathematical coverage is absolutely without equal. Any function you can think of, and some that you probably can't are covered in steamy, lurid detail. The paperback is such a great value that it makes me whinge to imagine that any lover of mathematics could possibly pass it by.