Mathematical Functions And Their Approximations PDF Download
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Author | : Yudell L. Luke |
Publisher | : Academic Press |
Total Pages | : 587 |
Release | : 2014-05-10 |
Genre | : Mathematics |
ISBN | : 1483262456 |
Download Mathematical Functions and Their Approximations Book in PDF, ePub and Kindle
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.
Author | : Yudell L. Luke |
Publisher | : Academic Press |
Total Pages | : 373 |
Release | : 1969 |
Genre | : Mathematics |
ISBN | : 0080955606 |
Download The Special Functions and Their Approximations Book in PDF, ePub and Kindle
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.
Author | : Yudell L. Luke |
Publisher | : |
Total Pages | : 0 |
Release | : 1964 |
Genre | : |
ISBN | : |
Download Mathematical Functions and Their Approximations Book in PDF, ePub and Kindle
Author | : Yudell L. Luke |
Publisher | : |
Total Pages | : |
Release | : |
Genre | : |
ISBN | : |
Download The Special Functions and Their Approximations Book in PDF, ePub and Kindle
Author | : Theodore J. Rivlin |
Publisher | : Courier Corporation |
Total Pages | : 164 |
Release | : 1981-01-01 |
Genre | : Mathematics |
ISBN | : 9780486640693 |
Download An Introduction to the Approximation of Functions Book in PDF, ePub and Kindle
Mathematics of Computing -- Numerical Analysis.
Author | : Milton Abramowitz |
Publisher | : Courier Corporation |
Total Pages | : 1068 |
Release | : 1965-01-01 |
Genre | : Mathematics |
ISBN | : 9780486612720 |
Download Handbook of Mathematical Functions Book in PDF, ePub and Kindle
An extensive summary of mathematical functions that occur in physical and engineering problems
Author | : Yudell L. Luke |
Publisher | : Academic Press |
Total Pages | : 509 |
Release | : 1969 |
Genre | : Computers |
ISBN | : 0080955614 |
Download Special Functions and Their Approximations: v. 2 Book in PDF, ePub and Kindle
Special Functions and Their Approximations: v. 2
Author | : YUDELL L. LUKE |
Publisher | : |
Total Pages | : 568 |
Release | : 1975 |
Genre | : |
ISBN | : |
Download Mathematical Functions and Their Approximations. an Updated Version of Part of Handbook of Mathematical Functions Book in PDF, ePub and Kindle
Author | : M. J. D. Powell |
Publisher | : Cambridge University Press |
Total Pages | : 356 |
Release | : 1981-03-31 |
Genre | : Mathematics |
ISBN | : 9780521295147 |
Download Approximation Theory and Methods Book in PDF, ePub and Kindle
Most functions that occur in mathematics cannot be used directly in computer calculations. Instead they are approximated by manageable functions such as polynomials and piecewise polynomials. The general theory of the subject and its application to polynomial approximation are classical, but piecewise polynomials have become far more useful during the last twenty years. Thus many important theoretical properties have been found recently and many new techniques for the automatic calculation of approximations to prescribed accuracy have been developed. This book gives a thorough and coherent introduction to the theory that is the basis of current approximation methods. Professor Powell describes and analyses the main techniques of calculation supplying sufficient motivation throughout the book to make it accessible to scientists and engineers who require approximation methods for practical needs. Because the book is based on a course of lectures to third-year undergraduates in mathematics at Cambridge University, sufficient attention is given to theory to make it highly suitable as a mathematical textbook at undergraduate or postgraduate level.
Author | : Gradimir V. Milovanović |
Publisher | : Springer |
Total Pages | : 873 |
Release | : 2014-07-08 |
Genre | : Mathematics |
ISBN | : 149390258X |
Download Analytic Number Theory, Approximation Theory, and Special Functions Book in PDF, ePub and Kindle
This book, in honor of Hari M. Srivastava, discusses essential developments in mathematical research in a variety of problems. It contains thirty-five articles, written by eminent scientists from the international mathematical community, including both research and survey works. Subjects covered include analytic number theory, combinatorics, special sequences of numbers and polynomials, analytic inequalities and applications, approximation of functions and quadratures, orthogonality and special and complex functions. The mathematical results and open problems discussed in this book are presented in a simple and self-contained manner. The book contains an overview of old and new results, methods, and theories toward the solution of longstanding problems in a wide scientific field, as well as new results in rapidly progressing areas of research. The book will be useful for researchers and graduate students in the fields of mathematics, physics and other computational and applied sciences.