NIST Handbook of Mathematical Functions
$111.00 (C)
 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
 Date Published: May 2010
 availability: In stock
 format: Mixed media product
 isbn: 9780521192255
$111.00 (C)
Mixed media product
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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 10year 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 longoutdated 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!
Read more 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 NewsSee more reviews"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, highcontrast text, mathematical notation and colored graphs and figures, The entire book is contained in a CDROM 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 editorinchief, author of one chapter of A&S and author or coauthor of five chapters of this successor volume, Frank Olver."
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×Product details
 Date Published: May 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: 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 Gfunction Richard A. Askey and Adri B. Olde Daalhuis
17. qHypergeometric 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.