Description
This introductory text for students of engineering, science, mathematics and computer science describes algorithms for solving the scientific and mathematical problems then encounter and discusses the foundations of the algorithms. Students should have a background including elementary calculus and matrix algebra. Sauer (mathematics, George Mason U.) covers the basic methods of solving equations, the systems of equations, interpolation, least squares, numerical differentiation and integration, ordinary differential equations, boundary values problems, partial differential equations, random numbers and applications, trigonometric interpolation and the FFT, compression, Eigenvalues and similar values and optimization. He includes exercises and a number of interesting "reality checks" throughout (such as "The Wiener Filter") and also provides an introduction to MATLAB. Annotation ©2006 Book News, Inc., Portland, OR (booknews.com)
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Numerical Analysis, designed to be used in a one-year course in engineering, science and mathematics, helps the readers gain a deeper understanding of numerical analysis by highlighting the five major ideas of the discipline: Convergence, Complexity, Conditioning, Compression, and Orthogonality and connecting back to them throughout the text. Each chapter contains a Reality Check, an extended foray into a relevant application area that can be used as a springboard for individual or team projects. MATLAB is used throughout to demonstrate and implement numerical methods. Fundamentals. Solving Equations. Systems of Equations. Interpolation. Least Square. Numerical Differentiation and Integration. Ordinary Differential Equations. Boundary Value Problems. Partial Differential Equations. Random Numbers and Applications. Trigonometric Interpolation and the FFT. Compression. Eigenvalues and Singular Values. Optimization. For all readers interested in numerical analysis.
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