Elementary Mathematical and Computational Tools for Electrical and Computer Engineers Using MATLAB

ISBN-13: 9780849374258 / Angielski / Twarda / 2006 / 480 str.

Jamal T. Manassah

Opis

Showing how MATLABr can help solve computational problems in engineering, Elementary Mathematical and Computational Tools for Electrical and Computer Engineers Using MATLABr, Second Edition explores practical mathematical methods for students, covering numerical techniques of elementary calculus and linear algebra and detailed introductory material on difference equations, complex variables, transformation theory, and probability theory. This integrated approach strengthens students' analytical and computational abilities. Updated to reflect the newest version of MATLAB, this edition features a new layout for enhanced readability. The book covers both linear and nonlinear difference equations, elementary functions, numerical differentiation, integration and ordinary differential equations solving techniques, optimization methods, complex numbers, vectors, matrix algebra and special matrices, geometric and Lorentz transformations, and probability theory.

Recenzje

"…Manassah got it just right: his book lays out standard topics for a one-semester course. He presents enough of the mathematics to motivate a method, explains how to use MATLAB, and then assigns typical problems as exercises."
- CHOICE, March 2002

Spis treści

INTRODUCTION TO MATLAB AND ITS GRAPHICS CAPABILITIES
Getting Started
Basic Algebraic Operations and Functions
Plotting Points
M-files
MATLAB Simple Programming
Array Operations
Curve and Surface Plotting
Polar Plots
Animation
Histograms
Printing and Saving Work in MATLAB
MATLAB Commands Review
DIFFERENCE EQUATIONS
Simple Linear Form
Amortization
An Iterative Geometric Construct: The Koch Curve
Solution of Linear Constant Coefficients Difference Equations
Convolution-Summation of First-Order System with Constant Coefficients
General First Order Linear Difference Equations
Nonlinear Difference Equations
Fractals and Computer Art
Generation of Special Functions from their Recursion Relations
ELEMENTARY FUNCTIONS AND SOME OF THEIR USES
Function Files
Examples with Affine Functions
Examples with Quadratic Functions
Examples with Polynomial Functions
Examples with Trigonometric Functions
Examples with the Logarithmic Function
Examples with the Exponential Function
Examples with Hyperbolic Functions and their Inverses
Commonly Used Signal Processing Functions
Animation of a Moving Rectangular Pulse
MATLAB Commands Review
NUMERICAL DIFFERENTIATION, INTEGRATION, AND SOLUTIONS OF ORDINARY DIFFERENTIAL EQUATIONS
Limits of Indeterminate Forms
Derivative of a Function
Infinite Sums
Numerical Integration
A Better Numerical Differentiator
A Better Numerical Integrator: Simpson's Rule
Numerical Solution of ODE
MATLAB Commands Review
ROOT SOLVING AND OPTIMIZATION METHODS
Finding the Real Roots of a Function
Roots of a Polynomial
Optimization Methods
MATLAB Commands Review
COMPLEX NUMBERS
Introduction
The Basics
Complex Conjugation and Division
Polar Form of Complex Numbers
Analytical Solutions of Constant Coefficients ODE
Phasors
Interference and Diffraction of Electromagnetic Waves
Solving ac Circuits with Phasors

O autorze

Jamal T. Manassah