Dahlquist G., Björck A. Numerical Methods in Scientific Computing. Volume 1
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Society for Industrial Mathematics, 2008. - 475 pages.This new book from the authors of the classic book Numerical Methods addresses the increasingly important role of numerical methods in science and engineering. More cohesive and comprehensive than any other modern textbook in the field, it combines traditional and well-developed topics with other material that is rarely found in numerical analysis texts, such as interval arithmetic, elementary functions, operator series, convergence acceleration, and continued fractions. Although this volume is self-contained, more comprehensive treatments of matrix computations will be given in a forthcoming volume. A supplementary Website contains three appendices: an introduction to matrix computations; a description of Mulprec, a MATLAB® multiple precision package; and a guide to literature, algorithms, and software in numerical analysis. Review questions, problems, and computer exercises are also included. For use in an introductory graduate course in numerical analysis and for researchers who use numerical methods in science and engineering.
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N.-Y.: Cc Grow Hill, 2014. - 992p.
The seventh edition of Chapra and Canale's Numerical Methods for Engineers retains the instructional techniques that have made the text so successful. Chapra and Canale's unique approach opens each part of the text with sections called Motivation, Mathematical Background, and Orientation Each part closes with an Epilogue containing Trade-Offs,...
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...
New Age International, 2010. - 369 pages.
This book is designed as an introductory undergraduate or graduate course for mathematics, science and engineering students of all disciplines. The text covers all major aspects of numerical methods, including numerical computations, matrices and linear system of equations, solution of algebraic and transcendental equations, finite...
Second Edition. Cambridge University Press, 2009. - 444 pages.
Numerical Methods in Engineering with MATLAB® is a text for engineering students and a reference for practicing engineers. The choice of numerical methods was based on their relevance to engineering problems. Every method is discussed thoroughly and illustrated with problems involving both hand computation and...
CRC, 1998. - 384 pages.
Matrix Algebra and Solution of Matrix Equations.
Manipulation of Matrices.
Solution of Matrix Equation.
Program Gauss — Gaussian Elimination Method.
Matrix Inversion, Determinant, and Program MatxInvD.
Exact, Least-Squares, and Spline Curve-Fits.
Exact Curve Fit.
Program LeastSq1 — Linear...
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,...