Cambridge University Press, 2010. - 236 pages. Modern Computer Arithmetic focuses on arbitrary-precision algorithms for efficiently performing arithmetic operations such as addition, multiplication and division, and their connections to topics such as modular arithmetic, greatest common divisors, the Fast Fourier Transform (FFT), and the computation of elementary and special functions. Brent and Zimmermann present algorithms that are ready to implement in your favorite language, while keeping a high-level description and avoiding too low-level or machine-dependent details. The book is intended for anyone interested in the design and implementation of efficient high-precision algorithms for computer arithmetic, and more generally efficient multiple-precision numerical algorithms. It may also be used in a graduate course in mathematics or computer science, for which exercises are included. These vary considerably in difficulty, from easy to small research projects, and expand on topics discussed in the text. Solutions are available from the authors.
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Wiley, 1989. - 712 pages.
This Second Edition of a standard numerical analysis text retains organization of the original edition, but all sections have been revised, some extensively, and bibliographies have been updated. New topics covered include optimization, trigonometric interpolation and the fast Fourier transform, numerical differentiation, the method of lines, boundary...
Springer, 2010. - 526 pages.
This book presents contributions from a global selection of experts in the field. This useful text offers new insights and solutions for the development of theorems, algorithms and advanced methods for real-time applications across a range of disciplines. Written in an accessible style, the discussion of all applications is enhanced by the inclusion...
Brooks/Cole, 2007. — 784 pages.
Authors show students of science and engineering the potential computers have for solving numerical problems and give them ample opportunities to hone their skills in programming and problem solving. The text also helps students learn about errors that inevitably accompany scientific computations and arms them with methods for detecting,...
George W. Collins, II, 2003. - 284 pages.
* Contents and Introduction
* Chapter 1: Introduction and Fundamental Concepts
* Chapter 2: The Numerical Methods for Linear Equations and Matrices
* Chapter 3: Polynomial Approximation, Interpolation, and Orthogonal Polynomials
* Chapter 4: Numerical Evaluation of Derivatives and Integrals
* Chapter 5: Numerical Solution of...
Cambridge University Press, 2007. — 1262 p.
William H. Press - Raymer Chair in Computer Sciences and Integrative Biology The University of Texas at Austin
Saul A. Teukolsky - Hans A. Bethe Professor of Physics and Astrophysics Cornell University
William T. Vetterling - Research Fellow and Director of Image Science ZINK Imaging, LLC
Brian P. Flannery - Science,...
2-е изд., испр. - М.: ФИЗМАТЛИТ, 2003. - 296 с.
Обобщаются известные и предлагаются новые методы математического моделирования нелинейных динамических систем. На простых примерах пояснены механизмы возникновения динамического хаоса, самоорганизации и др. Предложен принципиально новый подход к моделированию динамических систем, основанный на теории возможностей и нечеткой...