Numerical and analytical methods with MATLAB for electrical engineers / William Bober and Andrew Stevens.

Numerical Methods for Electrical EngineersEngineering GoalsProgramming Numerical SolutionsWhy MATLAB (R)?The MATLAB (R) Programming LanguageConventions in This BookExample ProgramsMATLAB (R) FundamentalsThe MATLAB (R) WindowsConstructing a Program in MATLAB (R)MATLAB (R) FundamentalsMATLAB (R) Input/OutputMATLAB (R) Program FlowMATLAB (R) Function FilesAnonymous FunctionsMATLAB (R) Anonymous FunctionsMATLAB (R) GraphicsWorking with MatricesWorking with Functions of a VectorAdditional Examples Using Characters and StringsInterpolation and MATLAB (R)'s interp1 FunctionMATLAB (R)'s textscan FunctionExporting MATLAB (R) Data to ExcelDebugging a ProgramThe Parallel RLC CircuitMatricesMatrix OperationsSystem of Linear EquationsGauss EliminationThe Gauss-Jordan MethodNumber of SolutionsInverse MatrixThe Eigenvalue ProblemRoots of Algebraic and Transcendental EquationsThe Search MethodBisection MethodNewton-Raphson MethodMATLAB (R)'s fzero and roots FunctionsNumerical IntegrationNumerical Integration and Simpson's RuleImproper IntegralsMATLAB (R)'s quad FunctionThe Electric FieldThe quiver PlotMATLAB (R)'s dblquad FunctionNumerical Integration of Ordinary Differential EquationsThe Initial Value ProblemThe Euler AlgorithmModified Euler Method with Predictor-Corrector AlgorithmNumerical Error for Euler AlgorithmsThe Fourth-Order Runge-Kutta MethodSystem of Two First-Order Differential EquationsA Single Second-Order EquationMATLAB (R)'s ODE FunctionBoundary Value ProblemsSolution of a Tri-Diagonal System of Linear EquationsMethod Summary for m equationsDifference FormulasOne-Dimensional Plate Capacitor ProblemLaplace TransformsLaplace Transform and Inverse TransformTransforms of DerivativesOrdinary Differential Equations, Initial Value ProblemConvolutionLaplace Transforms Applied to CircuitsImpulse ResponseFourier Transforms and Signal ProcessingMathematical Description of Periodic Signals: Fourier SeriesComplex Exponential Fourier Series and Fourier TransformsProperties of Fourier TransformsFiltersDiscrete-Time Representation of Continuous-Time SignalsFourier Transforms of Discrete-Time SignalsA Simple Discrete-Time FilterCurve FittingMethod of Least SquaresCurve Fitting with the Exponential FunctionMATLAB (R)'s polyfit FunctionCubic SplinesThe Function interp1 for Cubic Spline Curve FittingCurve Fitting with Fourier SeriesOptimizationUnconstrained Optimization ProblemsMethod of Steepest DescentMATLAB (R)'s fminunc FunctionOptimization with ConstraintsLagrange MultipliersMATLAB (R)'s fmincon FunctionSimulinkCreating a Model in SimulinkTypical Building Blocks in Constructing a ModelTips for Constructing and Running ModelsConstructing a SubsystemUsing the Mux and Fcn BlocksUsing the Transfer Fcn BlockUsing the Relay and Switch BlocksTrigonometric Function BlocksAppendix A: RLC CircuitsAppendix B: Special Characters in MATLAB (R) PlotsMATLAB (R) Function Index

"The advantage of using the MATLAB software program over other packages is that it contains built-in functions that numerically solve systems of linear equations, systems of ordinary differential equations, roots of transcendental equations, integrals, statistical problems, optimization problems, signal processing problems and many other types of problems encountered in engineering. A student version of the MATLAB program is available at a reasonable cost. However, to students, these built-in functions are essentially black boxes. By combining a textbook on MATLAB with basic numerical and analytical analysis, (although I'm sure that MATLAB uses more sophisticated numerical techniques than are described in these textbooks), the mystery of what these black boxes might contain is somewhat alleviated. The text contains many sample MATLAB programs that should provide guidance to the student on completing the assigned projects"--