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Cover Art
PRINTED BOOKS
Author Bober, William, 1930- author.

Title Introduction to numerical and analytical methods with MATLAB for engineers and scientists / William Bober.

Published Boca Raton : CRC Press, Taylor & Francis Group, 2014.

Copies

Location Call No. Status
 UniM ERC  518.028553 BOBE    DUE 05-01-20
Physical description xvii, 537 pages : illustrations ; 25 cm
Bibliography Includes bibliographical references and indexes.
Contents 1 Computer Programming with MATLAB® for Engineers 1 -- 1.1 Introduction 1 -- 1.2 Computer Usage in Engineering 1 -- 1.3 Mathematical Model 2 -- 1.4 Computer Programming 3 -- 1.5 Why MATLAB®? 3 -- 1.6 Programming Methodologies 4 -- 1.7 MATLAB® Programming Language 4 -- 1.8 Building Blocks in Writing a Program 5 -- 1.9 Conventions in This Book 5 -- 1.10 Example Programs 6 -- 2 MATLAB® Fundamentals 7 -- 2.1 Introduction 7 -- 2.2 MATLAB® Desktop 8 -- 2.3 Constructing a Program in MATLAB® 11 -- 2.4 MATLAB® Fundamentals 14 -- 2.5 MATLAB® Input/Output 23 -- 2.6 Loops 28 -- 2.7 MATLAB® Graphics 43 -- 2.8 Conditional Operators and Alternate Paths 58 -- 2.9 Working with Built-in Functions with Vector Arguments 70 -- 2.10 More on MATLAB® Graphics 72 -- 2.11 Debugging a Program 75 -- 3 Taylor Series, Self-Written Functions and MATLAB®'s interp1 Function 99 -- 3.1 Introduction 99 -- 3.2 Functions Expressed as a Series 100 -- 3.3 Self-Written Functions 105 -- 3.4 Anonymous Functions 110 -- 3.5 MATLAB®'s interp1 Function 112 -- 3.6 Working with Characters and Strings 115 -- 4 Matrices 127 -- 4.1 Introduction 127 -- 4.2 Matrix Operations 127 -- 4.3 System of Linear Equations 133 -- 4.4 Statics Truss Problem 136 -- 4.5 Resistive Circuit Problem 143 -- 4.6 Gauss Elimination 147 -- 4.7 Gauss-Jordan Method 152 -- 4.8 Number of Solutions 154 -- 4.9 Inverse Matrix 155 -- 4.10 Eigenvalue Problem in Mechanical Vibrations 160 -- 4.11 Eigenvalue Problem in Electrical Circuits 164 -- 5 Roots of Algebraic and Transcendental Equations 175 -- 5.1 Introduction 175 -- 5.2 Search Method 175 -- 5.3 Bisection Method 176 -- 5.4 Newton-Raphson Method 178 -- 5.5 MATLAB®'s Root-Finding Functions 179 -- 6 Numerical Integration 201 -- 6.1 Introduction 201 -- 6.2 Numerical Integration with the Trapezoidal Rule 201 -- 6.3 Numerical Integration and Simpson's Rule 203 -- 6.4 Improper Integrals 207 -- 6.5 MATLAB®'s quad Function 210 -- 6.6 MATLAB®'s dblquad Function 215 -- 7 Numerical Integration of Ordinary Differential Equations 231 -- 7.1 Introduction 231 -- 7.2 Initial Value Problem 232 -- 7.3 Euler Algorithm 232 -- 7.4 Modified Euler Method with Predictor-Corrector Algorithm 233 -- 7.5 Fourth-Order Runge-Kutta Method 241 -- 7.6 System of Two First-Order Differential Equations 244 -- 7.7 Single Second-Order Equation 248 -- 7.8 MATLAB®'s ODE Function 256 -- 8 Boundary Value Problems of Ordinary Differential Equations 277 -- 8.1 Introduction 277 -- 8.2 Difference Formulas 277 -- 8.3 Solution of a Tri-Diagonal System of Linear Equations 289 -- 9 Curve Fitting 303 -- 9.1 Introduction 303 -- 9.2 Method of Least Squares 303 -- 9.3 Curve Fitting with the Exponential Function 306 -- 9.4 MATLAB®'s Curve Fitting Functions 309 -- 9.5 Cubic Splines 314 -- 9.6 MATLAB®'s Cubic Spline Curve Fitting Function 316 -- 9.7 Curve Fitting with Fourier Series 319 -- 10 Simulink® 329 -- 10.1 Introduction 329 -- 10.2 Creating a Model in Simulink® 329 -- 10.3 Typical Building Blocks in Constructing a Model 332 -- 10.4 Tips for Constructing and Running Models 335 -- 10.5 Constructing a Subsystem 337 -- 10.6 Using the Mux and Fcn Blocks 340 -- 10.7 Using the Transfer Fcn Block 340 -- 10.8 Using the Relay and Switch Blocks 341 -- 10.9 Trigonometric Function Blocks 344 -- 10.10 To Workspace Block 345 -- 11 Optimization 357 -- 11.1 Introduction 357 -- 11.2 Unconstrained Optimization Problems 358 -- 11.3 Method of Steepest Descent 361 -- 11.4 MATLAB®'s fminbnd and fminsearch Functions 365 -- 11.5 Optimization with Constraints 368 -- 11.6 Lagrange Multipliers 371 -- 11.7 MATLAB®'s fmincon Function 373 -- 12 Iteration Method 389 -- 12.1 Introduction 389 -- 12.2 Iteration in Pipe Flow Analysis 389 -- 12.3 Hardy-Cross Method 394 -- 13 Partial Differential Equations 415 -- 13.1 Classification of Partial Differential Equations 415 -- 13.2 Solution by Separation of Variables 416 -- 13.3 Review of Finite-Difference Formulas 430 -- 13.4 Finite-Difference Methods Applied to Partial Differential Equations 430 -- 13.5 Gauss-Seidel Method 434 -- 14 Laplace Transforms 449 -- 14.1 Introduction 449 -- 14.2 Laplace Transform and Inverse Transform 449 -- 14.3 Transforms of Derivatives 452 -- 14.4 Ordinary Differential Equations, Initial Value Problem 453 -- 14.5 MATLAB®'s residue Function 457 -- 14.6 Unit Step Function 459 -- 14.7 Convolution 464 -- 14.8 Laplace Transforms Applied to Circuits 466 -- 14.9 Delta Function 471 -- 14 10 Laplace Transforms Applied to Partial Differential Equations 474.
Subject MATLAB.
Engineering mathematics.
Numerical analysis.
ISBN 9781466576025 (hardback)
1466576022 (hardback)