My Library

University LibraryCatalogue

     
Limit search to items available for borrowing or consultation
Record 2 of 7
Result Page: Previous Next
Can't find that book? Try BONUS+
 
Look for full text

Search Discovery

Search CARM Centre Catalogue

Search Trove

Add record to RefWorks

Cover Art
PRINTED BOOKS
Author Zarowski, Christopher J.

Title An introduction to numerical analysis for electrical and computer engineers / Christopher J. Zarowski.

Published Hoboken, NJ : Wiley, [2004]
©2004

Copies

Location Call No. Status
 UniM Store Engin  621.301518 ZARO    AVAILABLE
Physical description xvi, 586 pages : illustrations ; 24 cm
Bibliography Includes bibliographical references and index.
Contents 1 Functional Analysis Ideas 1 -- 1.2 Some Sets 2 -- 1.3 Some Special Mappings: Metrics, Norms, and Inner Products 4 -- 1.4 Discrete Fourier Series (DFS) 25 -- Appendix 1.A Complex Arithmetic 28 -- Appendix 1.B Elementary Logic 31 -- 2 Number Representations 38 -- 2.2 Fixed-Point Representations 38 -- 2.3 Floating-Point Representations 42 -- 2.4 Rounding Effects in Dot Product Computation 48 -- 2.5 Machine Epsilon 53 -- Appendix 2.A Review of Binary Number Codes 54 -- 3 Sequences and Series 63 -- 3.2 Cauchy Sequences and Complete Spaces 63 -- 3.3 Pointwise Convergence and Uniform Convergence 70 -- 3.4 Fourier Series 73 -- 3.5 Taylor Series 78 -- 3.6 Asymptotic Series 97 -- 3.7 More on the Dirichlet Kernel 103 -- Appendix 3.A COordinate Rotation DIgital Computing (CORDIC) 107 -- Appendix 3.B Mathematical Induction 116 -- Appendix 3.C Catastrophic Cancellation 117 -- 4 Linear Systems of Equations 127 -- 4.2 Least-Squares Approximation and Linear Systems 127 -- 4.3 Least-Squares Approximation and Ill-Conditioned Linear Systems 132 -- 4.4 Condition Numbers 135 -- 4.5 LU Decomposition 148 -- 4.6 Least-Squares Problems and QR Decomposition 161 -- 4.7 Iterative Methods for Linear Systems 176 -- Appendix 4.A Hilbert Matrix Inverses 186 -- Appendix 4.B SVD and Least Squares 191 -- 5 Orthogonal Polynomials 207 -- 5.2 General Properties of Orthogonal Polynomials 207 -- 5.3 Chebyshev Polynomials 218 -- 5.4 Hermite Polynomials 225 -- 5.5 Legendre Polynomials 229 -- 5.6 An Example of Orthogonal Polynomial Least-Squares Approximation 235 -- 5.7 Uniform Approximation 238 -- 6 Interpolation 251 -- 6.2 Lagrange Interpolation 252 -- 6.3 Newton Interpolation 257 -- 6.4 Hermite Interpolation 266 -- 6.5 Spline Interpolation 269 -- 7 Nonlinear Systems of Equations 290 -- 7.2 Bisection Method 292 -- 7.3 Fixed-Point Method 296 -- 7.4 Newton-Raphson Method 305 -- 7.5 Systems of Nonlinear Equations 312 -- 7.6 Chaotic Phenomena and a Cryptography Application 323 -- 8 Unconstrained Optimization 341 -- 8.2 Problem Statement and Preliminaries 341 -- 8.3 Line Searches 345 -- 8.4 Newton's Method 353 -- 8.5 Equality Constraints and Lagrange Multipliers 357 -- Appendix 8.A MATLAB Code for Golden Section Search 362 -- 9 Numerical Integration and Differentiation 369 -- 9.2 Trapezoidal Rule 371 -- 9.3 Simpson's Rule 378 -- 9.4 Gaussian Quadrature 385 -- 9.5 Romberg Integration 393 -- 9.6 Numerical Differentiation 401 -- 10 Numerical Solution of Ordinary Differential Equations 415 -- 10.2 First-Order ODEs 421 -- 10.3 Systems of First-Order ODEs 442 -- 10.4 Multistep Methods for ODEs 455 -- 10.5 Variable-Step-Size (Adaptive) Methods for ODEs 464 -- 10.6 Stiff Systems 467 -- 11 Numerical Methods for Eigenproblems 480 -- 11.2 Review of Eigenvalues and Eigenvectors 480 -- 11.3 Matrix Exponential 488 -- 11.4 Power Methods 498 -- 11.5 QR Iterations 508 -- 12 Numerical Solution of Partial Differential Equations 525 -- 12.3 Applications of Hyperbolic PDEs 528 -- 12.4 Finite-Difference (FD) Method 545 -- 12.5 Finite-Difference Time-Domain (FDTD) Method 550 -- 13 An Introduction to MATLAB 565 -- 13.2 Startup 565 -- 13.3 Some Basic Operators, Operations, and Functions 566 -- 13.4 Working with Polynomials 571 -- 13.5 Loops 572 -- 13.6 Plotting and M-Files 573.
Summary To properly function in today's work environment, engineers require a working familiarity with numerical analysis. This book provides that necessary background, striking a balance between analytical rigor and an applied approach focusing on methods particular to the solving of engineering problems. An Introduction to Numerical Analysis for Electrical and Computer Engineers gives electrical and computer engineering students their first exposure to numerical analysis and serves as a refresher for professionals as well. Emphasizing the earlier stages of numerical analysis for engineers with real-life solutions for computing and engineering applications. Specifically tailored to the needs of computer and electrical engineers, this is the resource engineers have long needed in order to master an area of mathematics critical to their profession.
Subject Electrical engineering -- Mathematics.
Computer science -- Mathematics.
Numerical analysis.
ISBN 0471467375