Mathematical Functions And Their Approximations

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Mathematical Functions And Their Approximations
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Author : Yudell L. Luke
language : en
Publisher: Academic Press
Release Date : 2014-05-10
Mathematical Functions And Their Approximations written by Yudell L. Luke and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Mathematics categories.
Mathematical Functions and their Approximations is an updated version of the Applied Mathematics Series 55 Handbook based on the 1954 Conference on Mathematical Tables, held at Cambridge, Massachusetts. The aim of the conference is to determine the need for mathematical tables in view of the availability of high speed computing machinery. This work is composed of 14 chapters that cover the machinery for the expansion of the generalized hypergeometric function and other functions in infinite series of Jacobi and Chebyshev polynomials of the first kind. Numerical coefficients for Chebyshev expansions of the more common functions are tabulated. Other chapters contain polynomial and rational approximations for certain class of G-functions, the coefficients in the early polynomials of these rational approximations, and the Padé approximations for many of the elementary functions and the incomplete gamma functions. The remaining chapters describe the development of analytic approximations and expansions. This book will prove useful to mathematicians, advance mathematics students, and researchers.
The Special Functions And Their Approximations
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Author : Yudell L. Luke
language : en
Publisher: Academic Press
Release Date : 1969
The Special Functions And Their Approximations written by Yudell L. Luke and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Mathematics categories.
A detailed and self-contained and unified treatment of many mathematical functions which arise in applied problems, as well as the attendant mathematical theory for their approximations. many common features of the Bessel functions, Legendre functions, incomplete gamma functions, confluent hypergeometric functions, as well as of otherw, can be derived. Hitherto, many of the material upon which the volumes are based has been available only in papers scattered throughout the literature.
An Introduction To The Approximation Of Functions
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Author : Theodore J. Rivlin
language : en
Publisher: Courier Corporation
Release Date : 1981-01-01
An Introduction To The Approximation Of Functions written by Theodore J. Rivlin and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981-01-01 with Mathematics categories.
Mathematics of Computing -- Numerical Analysis.
Special Functions And Their Approximations V 2
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Author : Yudell L. Luke
language : en
Publisher: Academic Press
Release Date : 1969
Special Functions And Their Approximations V 2 written by Yudell L. Luke and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Computers categories.
Special Functions and Their Approximations: v. 2
Handbook Of Mathematical Functions
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Author : Milton Abramowitz
language : en
Publisher: Courier Corporation
Release Date : 1965-01-01
Handbook Of Mathematical Functions written by Milton Abramowitz and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965-01-01 with Mathematics categories.
An extensive summary of mathematical functions that occur in physical and engineering problems
Mathematical Functions And Their Approximations
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Author : Yudell L. Luke
language : en
Publisher:
Release Date : 1964
Mathematical Functions And Their Approximations written by Yudell L. Luke and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964 with categories.
Rational Approximation Of Real Functions
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Author : P. P. Petrushev
language : en
Publisher: Cambridge University Press
Release Date : 2011-03-03
Rational Approximation Of Real Functions written by P. P. Petrushev and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-03-03 with Mathematics categories.
This 1987 book examines the approximation of real functions by real rational functions. These are a more convenient tool than polynomials, and interest in them was growing, especially after D. Newman's work in the mid-sixties. The authors present the basic achievements of the subject and also discuss some topics from complex rational approximation.
Numerical Methods For Special Functions
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Author : Amparo Gil
language : en
Publisher: SIAM
Release Date : 2007-01-01
Numerical Methods For Special Functions written by Amparo Gil and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-01-01 with Mathematics categories.
An overview that advises when to use specific methods depending upon the function and range.
Essential Mathematical Methods For Physicists Ise
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Author : Hans J. Weber
language : en
Publisher: Academic Press
Release Date : 2004
Essential Mathematical Methods For Physicists Ise written by Hans J. Weber and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.
This new adaptation of Arfken and Weber's best-selling Mathematical Methods for Physicists, fifth edition, is the most modern collection of mathematical principles for solving physics problems.
Mathematics Of Approximation
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Author : Johan De Villiers
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-06-30
Mathematics Of Approximation written by Johan De Villiers and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-06-30 with Mathematics categories.
The approximation of a continuous function by either an algebraic polynomial, a trigonometric polynomial, or a spline, is an important issue in application areas like computer-aided geometric design and signal analysis. This book is an introduction to the mathematical analysis of such approximation, and, with the prerequisites of only calculus and linear algebra, the material is targeted at senior undergraduate level, with a treatment that is both rigorous and self-contained. The topics include polynomial interpolation; Bernstein polynomials and the Weierstrass theorem; best approximations in the general setting of normed linear spaces and inner product spaces; best uniform polynomial approximation; orthogonal polynomials; Newton-Cotes , Gauss and Clenshaw-Curtis quadrature; the Euler-Maclaurin formula ; approximation of periodic functions; the uniform convergence of Fourier series; spline approximation,with an extensive treatment of local spline interpolation,and its application in quadrature. Exercises are provided at the end of each chapter