NIST Handbook of Mathematical Functions

Hardcover (Print)
Buy New
Buy New from BN.com
$102.57
Used and New from Other Sellers
Used and New from Other Sellers
from $76.80
Usually ships in 1-2 business days
(Save 30%)
Other sellers (Hardcover)
  • All (8) from $76.80   
  • New (6) from $102.36   
  • Used (2) from $76.80   

Overview

Modern developments in theoretical and applied science depend on knowledge of the properties of mathematical functions, from elementary trigonometric functions to the multitude of special functions. Thes functions appear whenever natural phenomena are studied, engineering problems are formulated, and numerical simulations are performed. They also crop up in statistics, financial models, and economic analysis. Using them effectively requires practitioners to have ready access to a reliable collection of their properties.<BR><BR>This handbook results from a 10-year project conducted by the National Institute of Standards and Technology with an international group of expert authors and validators. It is destined to replace its predecessor, the classic but long-outdated NBS Handbook of Mathematical Functions, edited by Abramowitz and Stegun.

Read More Show Less

Editorial Reviews

From the Publisher
"The NIST Handbook is a handsome product, with large pages and large type. The book is quite heavy; for convenience, one might be inclined to place it on a stand, as with an unabridged dictionary. The book contains numerous graphics, almost all in color. References and cross references to books and articles abound. Applications to both the mathematical and physical sciences are indicated. The NIST Handbook is indeed a monumental achievement, and the many, many individuals who participated in its creation and dissemination are to be congratulated and thanked."
Philip J. Davis for SIAM News

"An outstanding group of editors, associate editors and validators updated and extended the classic NBS Handbook of Mathematical Functions, edited by Abramowitz and Stegun. The National Institute of Standards and Technology (NIST) and Cambridge University Press are to be congratulated for publishing a treasury. It is eminently readable with clear, sharp, high-contrast text, mathematical notation and colored graphs and figures, The entire book is contained in a CD-ROM with a searchable PDF. From Leibnitz to Hilbert, from modern science and engineering to other disparate fields of study, functions are ubiquitous , fascinating and beautiful objects of human ingenuity. A prerequisite to their use is to understand their properties, and this handbook provides a direct and concise solution. It contains an extensive bibliography, a list of notations, and an index. The general format for each group of functions includes notation, properties, applications, computation and references. People who work with functions will delight in this handbook."
Barry Masters for Optics & Photonics News

"... an excellent product."
J. H. Davenport, Computing Reviews

"This is like trying to review the bible: it would be eccentric to argue that it is not a "thoroughly good thing". It's the modern successor to the wonderful Handbook of Mathematical Functions, edited by Abramowitz and Stegun, and maybe that's enough said. In summary, this splendid work doesn't really need the approbation of a mere reviewer. And now I'm off to look up my first unidentified integral to see if it's a standard form."
Martin Crowder, International Statistical Review

"The editors, associate editors, chapter authors, validators, and NIST staff members deserve our thanks for their very successful and valuable product."
Robert E. O'Malley, SIAM Review

"NHMF and the online version DLMF are a treasure for the mathematical and scientific communities, one that will be used and valued for decades. The organization, presentation, and general appearance are excellent. This beautiful book reflects credit on everyone and every organization involved; NIST; the National Science Foundation for funding; those who organized the project and obtained the funding; the advisors, editors, authors, and validators; and Cambridge University Press. Above all, NHMF and DLMF are a monument to the efforts of the editor-in-chief, author of one chapter of A&S and author or coauthor of five chapters of this successor volume, Frank Olver."
Richard Beals, Notices of the AMS

Read More Show Less

Product Details

  • ISBN-13: 9780521192255
  • Publisher: Cambridge University Press
  • Publication date: 5/17/2010
  • Pages: 968
  • Sales rank: 699,119
  • Product dimensions: 9.50 (w) x 11.10 (h) x 2.10 (d)

Meet the Author

Frank W. J. Olver is Professor Emeritus in the Institute for Physical Science and Technology and the Department of Mathematics at the University of Maryland. From 1961 to 1986 he was a Mathematician at the National Bureau of Standards in Washington, D.C. Professor Olver has published 76 papers in refereed and leading mathematics journals, and he is the author of Asymptotics and Special Functions (1974). He has served as editor of SIAM Journal on Numerical Analysis, SIAM Journal on Mathematical Analysis, Mathematics of Computation, Methods and Applications of Analysis, and the NBS Journal of Research.

Daniel W. Lozier leads the Mathematical Software Group in the Mathematical and Computational Sciences Division of NIST. In his capacity as General Editor of the Digital Library of Mathematical Functions Project, he has performed most of the administrative functions associated with the project as well as contributing technically. He is an active member of the SIAM Activity Group on Orthogonal Polynomials and Special Functions, having served two terms as chair, one as vice-chair, and currently as secretary. He has been an editor of Mathematics of Computation and the NIST Journal of Research.

Ronald F. Boisvert leads the Mathematical and Computational Sciences Division of the Information Technology Laboratory at NIST. He received his Ph.D. in computer science from Purdue University in 1979 and has been at NIST since then. He has served as editor-in-chief of the ACM Transactions on Mathematical Software. He is currently co-chair of the Publications Board of the Association for Computing Machinery (ACM) and chair of the International Federation for Information Processing (IFIP) Working Group 2.5 (Numerical Software).

Charles W. Clark received his Ph.D. in physics from the University of Chicago in 1979. He is a member of the U.S. Senior Executive Service and is Chief of the Electron and Optical Physics Division and acting Group Leader of the NIST Synchrotron Ultraviolet Radiation Facility (SURF III). Clark serves as Program Manager for Atomic and Molecular Physics at the U.S. Office of Naval Research and is a Fellow of the Joint Quantum Institute of NIST and the University of Maryland at College Park and a Visiting Professor at the National University of Singapore.

Read More Show Less

Table of Contents

1. Algebraic and analytic methods Ranjan Roy, Frank W. J. Olver, Richard A. Askey and Roderick S. C. Wong; 2. Asymptotic approximations Frank W. J. Olver and Roderick S. C. Wong; 3. Numerical methods Nico M. Temme; 4. Elementary functions Ranjan Roy and Frank W. J. Olver; 5. Gamma function Richard A. Askey and Ranjan Roy; 6. Exponential, logarithmic, sine and cosine integrals Nico M. Temme; 7. Error functions, Dawson's and Fresnel integrals Nico M. Temme; 8. Incomplete gamma and related functions Richard B. Paris; 9. Airy and related functions Frank W. J. Olver; 10. Bessel functions Frank W. J. Olver and Leonard C. Maximon; 11. Struve and related functions Richard B. Paris; 12. Parabolic cylinder functions Nico M. Temme; 13. Confluent hypergeometric functions Adri B. Olde Daalhuis; 14. Legendre and related functions T. Mark Dunster; 15. Hypergeometric function Adri B. Olde Daalhuis; 16. Generalized hypergeometric functions and Meijer G-function Richard A. Askey and Adri B. Olde Daalhuis; 17. q-Hypergeometric and related functions George E. Andrews; 18. Orthogonal polynomials Tom H. Koornwinder, Roderick S. C. Wong, Roelof Koekoek and Rene F. Swarttouw; 19. Elliptic integrals Bille C. Carlson; 20. Theta functions William P. Reinhardt and Peter L. Walker; 21. Multidimensional theta functions Bernard Deconinck; 22. Jacobian elliptic functions William P. Reinhardt and Peter L. Walker; 23. Weierstrass elliptic and modular functions William P. Reinhardt and Peter L. Walker; 24. Bernoulli and Euler polynomials Karl Dilcher; 25. Zeta and related functions Tom M. Apostol; 26. Combinatorial analysis David M. Bressoud; 27. Functions of number theory Tom M. Apostol; 28. Mathieu functions and Hill's equation Gerhard Wolf; 29. Lamé functions Hans Volkmer; 30. Spheroidal wave functions Hans Volkmer; 31. Heun functions Brian D. Sleeman and Vadim Kuznetsov; 32. Painlevé transcendents Peter A. Clarkson; 33. Coulomb functions Ian J. Thompson; 34. 3j,6j,9j symbols Leonard C. Maximon; 35. Functions of matrix argument Donald St. P. Richards; 36. Integrals with coalescing saddles Michael V. Berry and Chris Howls.

Read More Show Less

Customer Reviews

Be the first to write a review
( 0 )
Rating Distribution

5 Star

(0)

4 Star

(0)

3 Star

(0)

2 Star

(0)

1 Star

(0)

Your Rating:

Your Name: Create a Pen Name or

Barnes & Noble.com Review Rules

Our reader reviews allow you to share your comments on titles you liked, or didn't, with others. By submitting an online review, you are representing to Barnes & Noble.com that all information contained in your review is original and accurate in all respects, and that the submission of such content by you and the posting of such content by Barnes & Noble.com does not and will not violate the rights of any third party. Please follow the rules below to help ensure that your review can be posted.

Reviews by Our Customers Under the Age of 13

We highly value and respect everyone's opinion concerning the titles we offer. However, we cannot allow persons under the age of 13 to have accounts at BN.com or to post customer reviews. Please see our Terms of Use for more details.

What to exclude from your review:

Please do not write about reviews, commentary, or information posted on the product page. If you see any errors in the information on the product page, please send us an email.

Reviews should not contain any of the following:

  • - HTML tags, profanity, obscenities, vulgarities, or comments that defame anyone
  • - Time-sensitive information such as tour dates, signings, lectures, etc.
  • - Single-word reviews. Other people will read your review to discover why you liked or didn't like the title. Be descriptive.
  • - Comments focusing on the author or that may ruin the ending for others
  • - Phone numbers, addresses, URLs
  • - Pricing and availability information or alternative ordering information
  • - Advertisements or commercial solicitation

Reminder:

  • - By submitting a review, you grant to Barnes & Noble.com and its sublicensees the royalty-free, perpetual, irrevocable right and license to use the review in accordance with the Barnes & Noble.com Terms of Use.
  • - Barnes & Noble.com reserves the right not to post any review -- particularly those that do not follow the terms and conditions of these Rules. Barnes & Noble.com also reserves the right to remove any review at any time without notice.
  • - See Terms of Use for other conditions and disclaimers.
Search for Products You'd Like to Recommend

Recommend other products that relate to your review. Just search for them below and share!

Create a Pen Name

Your Pen Name is your unique identity on BN.com. It will appear on the reviews you write and other website activities. Your Pen Name cannot be edited, changed or deleted once submitted.

 
Your Pen Name can be any combination of alphanumeric characters (plus - and _), and must be at least two characters long.

Continue Anonymously

    If you find inappropriate content, please report it to Barnes & Noble
    Why is this product inappropriate?
    Comments (optional)