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Look Inside NIST Handbook of Mathematical Functions

NIST Handbook of Mathematical Functions
Hardback and CD-ROM

£82.00

  • 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: July 2010
  • availability: Temporarily unavailable - available from TBC
  • format: Mixed media product
  • isbn: 9780521192255

£ 82.00
Mixed media product

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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 Printed in full colour, it is destined to replace its predecessor, the classic but long-outdated Handbook of Mathematical Functions, edited by Abramowitz and Stegun. Includes a DVD with a searchable PDF of each chapter.

    • 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 indeed a monumental achievement, and the many, many individuals who participated in its creation and dissemination are to be congratulated and thanked.' SIAM News

    '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. … People who work with functions will delight in this handbook.' Optics and Photonics News

    '… distinguished collection of chapter authors … To find and effectively utilize such a collection of experts seems deserving of an Olympic medal!' Robert E. O'Malley, Jr, SIAM Review

    'This book is essentially an expanded and updated version of [Abramowitz and Stegun's Handbook of Mathematical Functions], but it also comes with a CD, and with weblinks, which enable one readily to access far more material, including some of the original references. As such, it is a welcome addition to one's reference collection. It contains far more material than [Abramowitz and Stegun], especially welcome being an up-to-date chapter on numerical methods and approximations.' The Observatory

    'The NIST Handbook provides comprehensive information on hundreds of mathematical functions … Their qualitative features are illustrated by numerous color figures in two or three dimensions. This is a timely and authoritative modern replacement of the classic [A and S] …The associated DLMF may well serve as a model for the effective presentation of highly mathematical reference material on the Web. The exposition is eminently readable and delightful, and everyone who works with or applies special mathematical functions will profit definitely from this impressive handbook.' Journal of Geometry and Symmetry in Physics

    '… a concise and well-structured format … there is no doubting the quality of this book … its content will be useful to anyone working with special functions.' Contemporary Physics

    See more reviews

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    Product details

    • Date Published: July 2010
    • format: Mixed media product
    • isbn: 9780521192255
    • length: 968 pages
    • dimensions: 287 x 221 x 51 mm
    • weight: 2.9kg
    • contains: 422 colour illus. 100 tables
    • availability: Temporarily unavailable - available from TBC
  • 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

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