| Description |
1 online resource (xvi, 586 pages) : illustrations |
| Contents |
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 |
| Summary |
* 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 |
| Bibliography |
Includes bibliographical references and index |
| Notes |
Print version record |
| Subject |
Electrical engineering -- Mathematics.
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Computer science -- Mathematics.
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Numerical analysis.
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TECHNOLOGY & ENGINEERING -- Electrical.
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Computer science -- Mathematics
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Electrical engineering -- Mathematics
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Numerical analysis
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| Form |
Electronic book
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| ISBN |
0471650404 |
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9780471650409 |
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