http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
introduction to numerical analysis for electrical and computer engineers
1 online resource (xvi, 586 pages) : illustrations
* This book is an introduction to numerical analysis and intends to strike a balance between analytical rigor and the treatment of particular methods for engineering problems* Emphasizes the earlier stages of numerical analysis for engineers with real-life problem-solving solutions applied to computing and engineering* Includes MATLAB oriented examples.
Functional Analysis Ideas -- Some Sets -- Some Special Mappings: Metrics, Norms, and Inner Products -- Metrics and Metric Spaces -- Norms and Normed Spaces -- Inner Products and Inner Product Spaces -- The Discrete Fourier Series (DFS) -- Complex Arithmetic -- Elementary Logic -- Number Representations -- Fixed-Point Representations -- Floating-Point Representations -- Rounding Effects in Dot Product Computation -- Machine Epsilon -- Review of Binary Number Codes -- Sequences and Series -- Cauchy Sequences and Complete Spaces -- Pointwise Convergence and Uniform Convergence -- Fourier Series -- Taylor Series -- Asymptotic Series -- More on the Dirichlet Kernel -- COordinate Rotation DIgital Computing (CORDIC) -- The Concept of a Discrete Basis -- Rotating Vectors in the Plane -- Computing Arctangents -- Mathematical Induction -- Catastrophic Cancellation -- Linear Systems of Equations -- Least-Squares Approximation and Linear Systems -- Least-Squares Approximation and Ill-Conditioned Linear Systems -- Condition Numbers -- LU Decomposition -- Least-Squares Problems and QR Decomposition -- Iterative Methods for Linear Systems -- Hilbert Matrix Inverses -- SVD and Least Squares -- Orthogonal Polynomials -- General Properties of Orthogonal Polynomials -- Chebyshev Polynomials -- Hermite Polynomials -- Legendre Polynomials -- An Example of Orthogonal Polynomial Least-Squares Approximation -- Uniform Approximation -- Interpolation -- Lagrange Interpolation -- Newton Interpolation -- Hermite Interpolation -- Spline Interpolation.
Includes bibliographical references and index.