Screen LibraryAn introduction to numerical analysis for electrical and computer engineers
* 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 comput...
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| Main Authors: | |
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| Published: |
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| Literature type: | Electronic eBook |
| Language: | English |
| Subjects: | |
| Online Access: |
http://onlinelibrary.wiley.com/book/10.1002/0471650412 |
| 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. |
| Carrier Form: | 1 online resource (xvi, 586 pages) : illustrations |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: |
0471650404 9780471650409 0471467375 9780471467373 9780471650416 0471650412 0404716504 9780404716509 |
| Index Number: | TK153 |
| CLC: | TM38-532 |
| 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. |