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NIST Handbook of Mathematical Functions Hardback and CD-ROM

NIST Handbook of Mathematical Functions Paperback and CD-ROM

NIST Handbook of Mathematical Functions Paperback and CD-ROM

Editors:
Frank W. J. Olver, 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
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
Published:
May 2010
Availability:
Out of stock in print form with no current plan to reprint
Format:
Mixed media product
ISBN:
9780521140638

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$67.99
USD
Mixed media product
1 CD-ROM, 1 Paperback

    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 Printed in full colour, it is destined to replace its predecessor, the classic but long-outdated Handbook of Mathematical Functions, edited by Abramowitz and Stegun.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

    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

    Product details

    May 2010
    Mixed media product
    9780521140638
    968 pages
    279 × 215 × 46 mm
    2.58kg
    422 colour illus. 100 tables
    Out of stock in print form with no current plan to reprint

    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.
      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

    • 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.