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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, the book:
Forms a logical bridge between first courses in matrix/linear algebra and the more sophisticated methods of signal processing and control system courses.
Includes MATLAB-oriented examples, with a quick introduction to MATLAB for those who need it.
Provides detailed proofs and derivations for many key results.
Functional Analysis Ideas.
Introduction.
Some Sets
Some Special Mappings: Metrics, Norms, and Inner Products
Metrics and Metric Spaces
The Discrete Fourier Series (DFS)
Appendix 1.A Complex Arithmetic
Appendix 1.B Elementary Logic
Problems
Number Representations.
Sequences and Series.
Linear Systems of Equations.
Orthogonal Polynomials.
Interpolation.
Nonlinear Systems of Equations.
Unconstrained Optimization.
Numerical Integration and Differentiation.
Numerical Solution of Ordinary Differential Equations
Numerical Methods for Eigenproblems.
Numerical Solution of Partial Differential Equations.
An Introduction to MATLAB.
Introduction.
Startup.
Some Basic Operators, Operations, and Functions.
Working with Polynomials.
Loops.
Plotting and M-Files