Hoffman J.D. Numerical Methods for Engineers and Scientists
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CRC Press, 2001. — 823 pages.A great textbook for a first course in Numerical Methods as it gives an extensive yet detailed coverage of numerical techniques that form the base for more advanced work in CFD. This book is based almost entirely on the finite difference method for solving differential equations (ordinary and partial). A chapter addresses finite element techniques but it is in the spirit of a primer; you will need a textbook solely devoted to FEM. This book is primarily for the mechanical engineer, as most of the governing equations are invariably from the areas of heat transfer, fluid flow, gas dynamics and solid mechanics.
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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...
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,...
AK Peters, 2003. — 470 p.
Mathematica, Maple, and similar software packages provide programs that carry out sophisticated mathematical operations. Applying the ideas introduced in Computer Algebra and Symbolic Computation: Elementary Algorithms, this book explores the application of algorithms to such methods as automatic simplification, polynomial decomposition, and polynomial...
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...