NIST Handbook of Mathematical Functions Hardback and CD-ROM

Front Cover
Frank W. J. Olver, Daniel W. Lozier, Ronald F. Boisvert, Charles W. Clark
Cambridge University Press, May 17, 2010 - Mathematics - 951 pages
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 Printed in full color, it is destined to replace its predecessor, the classic but long-outdated Handbook of Mathematical Functions, edited by Abramowitz and Stegun.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.
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Contents

Chapter
3
Algebraic and Analytic Methods
30
Areas
41
Numerical Methods
72
Elementary Functions
103
4
106
Gamma Function
135
Chapter 6
150
Generalized Hypergeometric Functions
403
qHypergeometric and Related Func
419
R F Swarttouw
435
Elliptic Integrals
485
Theta Functions
523
Zeta and Related Functions
601
Combinatorial Analysis
617
Chapter 28
652

Exponential Logarithmic Sine
156
Chapter 7
160
Incomplete Gamma and Related
173
Airy and Related Functions
193
14
208
Bessel Functions
215
Struve and Related Functions
287
Parabolic Cylinder Functions
303
Confluent Hypergeometric Functions
318
Legendre and Related Functions
351
Hypergeometric Function
383
Lamé Functions
683
Heun Functions
709
Painlevé Transcendents
723
Coulomb Functions
741
3j6j9j Symbols
757
Chapter 35
768
1Department of Statistics Pennsylvania State University
775
Chapter 36
776
Integrals with Coalescing Saddles
778
Copyright

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About the author (2010)

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. Bolsvert 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.

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