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Author : C. W. Clenshaw
Publisher :
ISBN 13 :
Total Pages : 46 pages
Book Rating : 4.3/5 (91 download)
Download or read book Chebyshev Series for Mathematical Functions written by C. W. Clenshaw and published by . This book was released on 1962 with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Theodore J. Rivlin
Publisher : Wiley-Interscience
ISBN 13 :
Total Pages : 200 pages
Book Rating : 4.:/5 (319 download)
Download or read book The Chebyshev Polynomials written by Theodore J. Rivlin and published by Wiley-Interscience. This book was released on 1974 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Yudell L. Luke
Publisher : Academic Press
ISBN 13 : 1483262456
Total Pages : 587 pages
Book Rating : 4.4/5 (832 download)
Download or read book Mathematical Functions and Their Approximations written by Yudell L. Luke and published by Academic Press. This book was released on 2014-05-10 with total page 587 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Lloyd N. Trefethen
Publisher : SIAM
ISBN 13 : 1611975948
Total Pages : 377 pages
Book Rating : 4.6/5 (119 download)
Download or read book Approximation Theory and Approximation Practice, Extended Edition written by Lloyd N. Trefethen and published by SIAM. This book was released on 2019-01-01 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a textbook on classical polynomial and rational approximation theory for the twenty-first century. Aimed at advanced undergraduates and graduate students across all of applied mathematics, it uses MATLAB to teach the fields most important ideas and results. Approximation Theory and Approximation Practice, Extended Edition differs fundamentally from other works on approximation theory in a number of ways: its emphasis is on topics close to numerical algorithms; concepts are illustrated with Chebfun; and each chapter is a PUBLISHable MATLAB M-file, available online. The book centers on theorems and methods for analytic functions, which appear so often in applications, rather than on functions at the edge of discontinuity with their seductive theoretical challenges. Original sources are cited rather than textbooks, and each item in the bibliography is accompanied by an editorial comment. In addition, each chapter has a collection of exercises, which span a wide range from mathematical theory to Chebfun-based numerical experimentation. This textbook is appropriate for advanced undergraduate or graduate students who have an understanding of numerical analysis and complex analysis. It is also appropriate for seasoned mathematicians who use MATLAB.
Author : John P. Boyd
Publisher : Courier Corporation
ISBN 13 : 0486411834
Total Pages : 690 pages
Book Rating : 4.4/5 (864 download)
Download or read book Chebyshev and Fourier Spectral Methods written by John P. Boyd and published by Courier Corporation. This book was released on 2001-12-03 with total page 690 pages. Available in PDF, EPUB and Kindle. Book excerpt: Completely revised text focuses on use of spectral methods to solve boundary value, eigenvalue, and time-dependent problems, but also covers Hermite, Laguerre, rational Chebyshev, sinc, and spherical harmonic functions, as well as cardinal functions, linear eigenvalue problems, matrix-solving methods, coordinate transformations, methods for unbounded intervals, spherical and cylindrical geometry, and much more. 7 Appendices. Glossary. Bibliography. Index. Over 160 text figures.
Author : Theodore J. Rivlin
Publisher : Courier Corporation
ISBN 13 : 9780486640693
Total Pages : 164 pages
Book Rating : 4.6/5 (46 download)
Download or read book An Introduction to the Approximation of Functions written by Theodore J. Rivlin and published by Courier Corporation. This book was released on 1981-01-01 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- Numerical Analysis.
Author : Amparo Gil
Publisher : SIAM
ISBN 13 : 9780898717822
Total Pages : 431 pages
Book Rating : 4.7/5 (178 download)
Download or read book Numerical Methods for Special Functions written by Amparo Gil and published by SIAM. This book was released on 2007-01-01 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: Special functions arise in many problems of pure and applied mathematics, mathematical statistics, physics, and engineering. This book provides an up-to-date overview of numerical methods for computing special functions and discusses when to use these methods depending on the function and the range of parameters. Not only are standard and simple parameter domains considered, but methods valid for large and complex parameters are described as well. The first part of the book (basic methods) covers convergent and divergent series, Chebyshev expansions, numerical quadrature, and recurrence relations. Its focus is on the computation of special functions; however, it is suitable for general numerical courses. Pseudoalgorithms are given to help students write their own algorithms. In addition to these basic tools, the authors discuss other useful and efficient methods, such as methods for computing zeros of special functions, uniform asymptotic expansions, Padé approximations, and sequence transformations. The book also provides specific algorithms for computing several special functions (like Airy functions and parabolic cylinder functions, among others).
Author : J.C. Mason
Publisher : CRC Press
ISBN 13 : 1420036114
Total Pages : 358 pages
Book Rating : 4.4/5 (2 download)
Download or read book Chebyshev Polynomials written by J.C. Mason and published by CRC Press. This book was released on 2002-09-17 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chebyshev polynomials crop up in virtually every area of numerical analysis, and they hold particular importance in recent advances in subjects such as orthogonal polynomials, polynomial approximation, numerical integration, and spectral methods. Yet no book dedicated to Chebyshev polynomials has been published since 1990, and even that work focuse
Author : John P. Boyd
Publisher : SIAM
ISBN 13 : 161197352X
Total Pages : 446 pages
Book Rating : 4.6/5 (119 download)
Download or read book Solving Transcendental Equations written by John P. Boyd and published by SIAM. This book was released on 2014-09-23 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: Transcendental equations arise in every branch of science and engineering. While most of these equations are easy to solve, some are not, and that is where this book serves as the mathematical equivalent of a skydiver's reserve parachute--not always needed, but indispensible when it is. The author's goal is to teach the art of finding the root of a single algebraic equation or a pair of such equations.
Author : Vladislav K. Dzyadyk
Publisher : Walter de Gruyter
ISBN 13 : 3110208245
Total Pages : 497 pages
Book Rating : 4.1/5 (12 download)
Download or read book Theory of Uniform Approximation of Functions by Polynomials written by Vladislav K. Dzyadyk and published by Walter de Gruyter. This book was released on 2008-09-25 with total page 497 pages. Available in PDF, EPUB and Kindle. Book excerpt: A thorough, self-contained and easily accessible treatment of the theory on the polynomial best approximation of functions with respect to maximum norms. The topics include Chebychev theory, Weierstraß theorems, smoothness of functions, and continuation of functions.
Author : Kin L. Lee
Publisher :
ISBN 13 :
Total Pages : 36 pages
Book Rating : 4.:/5 (31 download)
Download or read book High-precision Chebyshev Series Approximation to the Exponential Integral written by Kin L. Lee and published by . This book was released on 1970 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Themistocles M. Rassias
Publisher : World Scientific
ISBN 13 : 9789810206147
Total Pages : 658 pages
Book Rating : 4.2/5 (61 download)
Download or read book Topics in Polynomials of One and Several Variables and Their Applications written by Themistocles M. Rassias and published by World Scientific. This book was released on 1993 with total page 658 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents an account of some of the most important work that has been done on various research problems in the theory of polynomials of one and several variables and their applications. It is dedicated to P L Chebyshev, a leading Russian mathematician.
Author : Milton Abramowitz
Publisher :
ISBN 13 :
Total Pages : 1072 pages
Book Rating : 4.:/5 (31 download)
Download or read book Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables written by Milton Abramowitz and published by . This book was released on 1964 with total page 1072 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Milton Abramowitz
Publisher : Courier Corporation
ISBN 13 : 9780486612720
Total Pages : 1068 pages
Book Rating : 4.6/5 (127 download)
Download or read book Handbook of Mathematical Functions written by Milton Abramowitz and published by Courier Corporation. This book was released on 1965-01-01 with total page 1068 pages. Available in PDF, EPUB and Kindle. Book excerpt: An extensive summary of mathematical functions that occur in physical and engineering problems
Author : Amparo Gil
Publisher : SIAM
ISBN 13 : 0898716349
Total Pages : 418 pages
Book Rating : 4.8/5 (987 download)
Download or read book Numerical Methods for Special Functions written by Amparo Gil and published by SIAM. This book was released on 2007-01-01 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: An overview that advises when to use specific methods depending upon the function and range.
Author : Frank Bowman
Publisher : Courier Corporation
ISBN 13 : 0486152995
Total Pages : 148 pages
Book Rating : 4.4/5 (861 download)
Download or read book Introduction to Bessel Functions written by Frank Bowman and published by Courier Corporation. This book was released on 2012-04-27 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: Self-contained text, useful for classroom or independent study, covers Bessel functions of zero order, modified Bessel functions, definite integrals, asymptotic expansions, and Bessel functions of any real order. 226 problems.
Author : Amos R Omondi
Publisher : World Scientific
ISBN 13 : 178326862X
Total Pages : 433 pages
Book Rating : 4.7/5 (832 download)
Download or read book Computer-hardware Evaluation Of Mathematical Functions written by Amos R Omondi and published by World Scientific. This book was released on 2015-10-22 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computer-Hardware Evaluation of Mathematical Functions provides a thorough up-to-date understanding of the methods used in computer hardware for the evaluation of mathematical functions: reciprocals, square-roots, exponentials, logarithms, trigonometric functions, hyperbolic functions, etc. It discusses how the methods are derived, how they work, and how well they work. The methods are divided into four core themes: CORDIC, normalization, table look-up, and polynomial approximations. In each case, the author carefully considers the mathematical derivation and basis of the relevant methods, how effective they are (including mathematical errors analysis), and how they can be implemented in hardware.This book is an excellent resource for any student or researcher seeking a comprehensive, yet easily understandable, explanation of how computer chips evaluate mathematical functions.
