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An Introduction to Numerical Analysis for Electrical and Computer Engineers

Author:
Christopher J. Zarowski; Zarowski
Format:
Hardcover

Now:R1,481.95
eBucks:eB14820

United States of America

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An Introduction to Numerical Analysis for Electrical and Computer Engineers

Short description

* 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
*An Instructor's Manual presenting detailed solutions to all the problems in the book is available from the Wiley editorial department.

Long description

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

Product details

Publisher:
Wiley-Interscience
ISBN:
9780471467373
Publication date:
April 2004
Length:
242mm
Width:
161mm
Thickness:
34mm
Weight:
966g
Pages:
608
Illustrations:
Illustrated
Readership:
Tertiary education; Professional & scholarly

Review

"Zarkowski (Univ. of Alberta) offers this book as a general, advanced undergraduate work in numerical analysis, containing all of the usual topics." (CHOICE, October 2004)

Table of contents

  • Preface
  • Functional Analysis Ideas
  • Introduction
  • 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)
  • Appendix
  • A Complex Arithmetic
  • Appendix
  • B Elementary Logic
  • References
  • Problems
  • Number Representations
  • Introduction
  • Fixed
  • Point Representations
  • Floating
  • Point Representations
  • Rounding Effects in Dot Product Computation
  • Machine Epsilon
  • Appendix
  • A Review of Binary Number Codes
  • References
  • Problems
  • Sequences and Series
  • Introduction
  • Cauchy Sequences and Complete Spaces
  • Pointwise Convergence and Uniform Convergence
  • Fourier Series
  • Taylor Series
  • Asymptotic Series
  • More on the Dirichlet Kernel
  • Final Remarks
  • Appendix
  • A COordinate Rotation DIgital Computing (CORDIC)
  • A
  • Introduction
  • A
  • The Concept of a Discrete Basis
  • A
  • Rotating Vectors in the Plane
  • A
  • Computing Arctangents
  • A
  • Final Remarks
  • Appendix
  • B Mathematical Induction
  • Appendix
  • C Catastrophic Cancellation
  • References
  • Problems
  • Linear Systems of Equations
  • Introduction
  • 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
  • Final Remarks
  • Appendix
  • A Hilbert Matrix Inverses
  • Appendix
  • B SVD and Least Squares
  • References
  • Problems
  • Orthogonal Polynomials
  • Introduction
  • General Properties of Orthogonal Polynomials
  • Chebyshev Polynomials
  • Hermite Polynomials
  • Legendre Polynomials
  • An Example of Orthogonal Polynomial Least
  • Squares Approximation
  • Uniform Approximation
  • References
  • Problems
  • Interpolation
  • Introduction
  • Lagrange Interpolation
  • Newton Interpolation
  • Hermite Interpolation
  • Spline Interpolation
  • References
  • Problems
  • Nonlinear Systems of Equations
  • Introduction
  • Bisection Method
  • Fixed
  • Point Method
  • Newton
  • Raphson Method
  • The Method
  • Rate of Convergence Analysis
  • Breakdown Phenomena
  • Systems of Nonlinear Equations
  • Fixed
  • Point Method
  • Newton
  • Raphson Method
  • Chaotic Phenomena and a Cryptography Application
  • References
  • Problems
  • Unconstrained Optimization
  • Introduction
  • Problem Statement and Preliminaries
  • Line Searches
  • Newton's Method
  • Equality Constraints and Lagrange Multipliers
  • Appendix
  • A MATLAB Code for Golden Section Search
  • References
  • Problems
  • Numerical Integration and Differentiation
  • Introduction
  • Trapezoidal Rule
  • Simpson's Rule
  • Gaussian Quadrature
  • Romberg Integration
  • Numerical Differentiation
  • References
  • Problems
  • Numerical Solution of Ordinary Differential Equations
  • Introduction
  • First
  • Order ODEs
  • Systems of First
  • Order ODEs
  • Multistep Methods for ODEs
  • Adams
  • Bashforth Methods
  • Adams
  • Moulton Methods
  • Comments on the Adams Families
  • Variable
  • Step
  • Size (Adaptive) Methods for ODEs
  • Stiff Systems
  • Final Remarks
  • Appendix
  • A MATLAB Code for Example
  • Appendix
  • B MATLAB Code for Example
  • References
  • Problems
  • Numerical Methods for Eigenproblems
  • Introduction
  • Review of Eigenvalues and Eigenvectors
  • The Matrix Exponential
  • The Power Methods
  • QR Iterations
  • References
  • Problems
  • Numerical Solution of Partial Differential Equations
  • Introduction
  • A Brief Overview of Partial Differential Equations
  • Applications of Hyperbolic PDEs
  • The Vibrating String
  • Plane Electromagnetic Waves
  • The Finite
  • Difference (FD) Method
  • The Finite
  • Difference Time
  • Domain (FDTD) Method
  • Appendix
  • A MATLAB Code for Example
  • References
  • Problems
  • An Introduction to MATLAB
  • Introduction
  • Startup
  • Some Basic Operators, Operations, and Functions
  • Working with Polynomials
  • Loops
  • Plotting and M
  • Files
  • References
  • Index

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An Introduction to Numerical Analysis for Electrical and Computer Engineers

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eBucks:eB14820
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