Skip to content
Open global navigation

Cambridge University Press

AcademicLocation selectorSearch toggleMain navigation toggle
Cart
Register Sign in Wishlist

NIST Handbook of Mathematical Functions

$53.00 (Z)

  • Editors:
  • Frank W. J. Olver, University of Maryland and National Institute of Standards and Technology, Maryland
  • Daniel W. Lozier, National Institute of Standards and Technology, Maryland
  • Ronald F. Boisvert, National Institute of Standards and Technology, Maryland
  • Charles W. Clark, National Institute of Standards and Technology, Maryland and University of Maryland
Ranjan Roy, Frank W. J. Olver, Richard A. Askey, Roderick S. C. Wong, Nico M. Temme, Richard B. Paris, Leonard C. Maximon, Adri B. Olde Daalhuis, T. Mark Dunster, George E. Andrews, Tom H. Koornwinder, Roelof Koekoek, Rene F. Swarttouw, Bille C. Carlson, William P. Reinhardt, Peter L. Walker, Bernard Deconinck, Karl Dilcher, Tom M. Apostol, David M. Bressoud, Gerhard Wolf, Hans Volkmer, Brian D. Sleeman, Vadim Kuznetsov, Peter A. Clarkson, Ian J. Thompson, Donald St. P. Richards, Michael V. Berry, Chris Howls
View all contributors
  • Date Published: May 2010
  • availability: In stock
  • format: Mixed media product
  • isbn: 9780521140638

$53.00 (Z)
Mixed media product

Add to cart Add to wishlist

Other available formats:


Looking for an examination copy?

This title is not currently available for examination. However, if you are interested in the title for your course we can consider offering an examination copy. To register your interest please contact collegesales@cambridge.org providing details of the course you are teaching.

Description
Product filter button
Description
Contents
Resources
About the Authors
  • 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. These 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. 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. Printed in full color, it is destined to replace its predecessor, the classic but long-outdated Handbook of Mathematical Functions, edited by Abramowitz and Stegun. Included with every copy of the book is a CD with a searchable PDF of each chapter. Check out the news release and the video for this new book!

    • Compendium of properties of mathematical special functions
    • Developed by expert authors, editors, and validators
    • Carefully edited for uniform treatment of technical content
    Read more

    Reviews & endorsements

    "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

    See more reviews

    Customer reviews

    Not yet reviewed

    Be the first to review

    Review was not posted due to profanity

    ×

    , create a review

    (If you're not , sign out)

    Please enter the right captcha value
    Please enter a star rating.
    Your review must be a minimum of 12 words.

    How do you rate this item?

    ×

    Product details

    • Date Published: May 2010
    • format: Mixed media product
    • isbn: 9780521140638
    • length: 968 pages
    • dimensions: 279 x 215 x 46 mm
    • weight: 2.58kg
    • contains: 422 colour illus. 100 tables
    • availability: In stock
  • 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.

  • Editors

    Frank W. J. Olver, University of Maryland and National Institute of Standards and Technology, Maryland
    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, National Institute of Standards and Technology, Maryland
    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, National Institute of Standards and Technology, Maryland
    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, National Institute of Standards and Technology, Maryland and University of Maryland
    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.

    Contributors

    Ranjan Roy, Frank W. J. Olver, Richard A. Askey, Roderick S. C. Wong, Nico M. Temme, Richard B. Paris, Leonard C. Maximon, Adri B. Olde Daalhuis, T. Mark Dunster, George E. Andrews, Tom H. Koornwinder, Roelof Koekoek, Rene F. Swarttouw, Bille C. Carlson, William P. Reinhardt, Peter L. Walker, Bernard Deconinck, Karl Dilcher, Tom M. Apostol, David M. Bressoud, Gerhard Wolf, Hans Volkmer, Brian D. Sleeman, Vadim Kuznetsov, Peter A. Clarkson, Ian J. Thompson, Donald St. P. Richards, Michael V. Berry, Chris Howls

Sign In

Please sign in to access your account

Cancel

Not already registered? Create an account now. ×

You are now leaving the Cambridge University Press website, your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Find content that relates to you

Join us online

© Cambridge University Press 2014

Back to top

Are you sure you want to delete your account?

This cannot be undone.

Cancel Delete

Thank you for your feedback which will help us improve our service.

If you requested a response, we will make sure to get back to you shortly.

×
Please fill in the required fields in your feedback submission.
×