## Numerical Analysis Using MATLAB and SpreadsheetsAnnotation This text provides complete, clear, and detailed explanations of the principal numerical analysis methods and well known functions used in science and engineering. These are illustrated with many practical examples. With this text the reader learns numerical analysis with many real-world applications, MATLAB, and spreadsheets simultaneously.This text includes the following chapters:? Introduction to MATLAB ? Root Approximations ? Sinusoids and Complex Numbers ? Matrices and Determinants ? Review of Differential Equations ? Fourier, Taylor, and Maclaurin Series ? Finite Differences and Interpolation ? Linear and Parabolic Regression ? Solution of Differential Equations by Numerical Methods ? Integration by Numerical Methods ? Difference Equations? Partial Fraction Expansion ? The Gamma and Beta Functions ? Orthogonal Functions and Matrix Factorizations ? Bessel, Legendre, and Chebyshev Polynomials ? Optimization MethodsEach chapter contains numerous practical applications supplemented with detailed instructionsfor using MATLAB and/or Microsoft Excel? to obtain quick solutions. |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

Chapter 2 | 1 |

Chapter 6 | 6 |

Approximations with Spreadsheets | 9 |

The Bisection Method for Root Approximation 219 | 23 |

Solutions to Exercises 229 | 29 |

Chapter 3 | 1 |

Exponential and Polar Forms of Phasors 313 | 15 |

Inverse Trigonometric Functions 310 | 19 |

Parabolic Regression | 8 |

Summary 824 | 25 |

Solutions to Exercises 828 | 31 |

Chapter 9 | 1 |

RungeKutta Method | 9 |

Adams Method 913 | 19 |

Chapter 10 | 27 |

Summary 1013 | 39 |

Exercises 321 | 25 |

Addition and Subtraction of Phasors 311 | 3 |

Minors and Cofactors 412 | 12 |

Gaussian Elimination Method 418 | 18 |

Solution of Simultaneous Equations with Matrices 423 | 25 |

Summary 429 | 31 |

Exercises 433 | 39 |

Solutions of Ordinary Differential Equations ODE | 5 |

Using the Method of Variation of Parameters for the Forced Response 519 | 19 |

Solution of Single State Equations 527 | 27 |

The State Transition Matrix 528 | 35 |

Eigenvectors 537 | 45 |

Fourier Taylor and Maclaurin Series | 1 |

Symmetry | 17 |

Line Spectra 633 | 34 |

Summary 647 | 49 |

Factorial Polynomials | 7 |

Antidifferences 711 | 40 |

Chapter 11 | 49 |

Summary 1110 | 59 |

Chapter 12 | 65 |

ii | 69 |

Alternate Method of Partial Fraction Expansion 1213 | 77 |

Summary 1218 | 83 |

Chapter 13 | 93 |

The Gamma Distribution 1315 | 74 |

Exercises 1324 | 85 |

Orthogonal Vectors 144 | 91 |

The LU Factorization 149 | 99 |

The QR Factorization 1417 | 105 |

Exercises 1423 | 115 |

The Bessel Function 151 | 143 |

Exercises 1532 | 151 |

Optimization Methods | 155 |

Dynamic Programming 164 | 173 |

### Other editions - View all

### Common terms and phrases

Analysis Using MATLAB approximation axis bisection method characteristic equation Check with MATLAB coefficients column of matrix command complex number compute constant curve defined denoted derivative detA difference equation differential equation divided differences eigenvalues eigenvectors elements evaluate Example expression forced response format formula Fourier series fprintf fprintf('\n frequency function file given grid half-wave symmetry initial condition integral interval linear m-file MATLAB and Spreadsheets MATLAB code MATLAB displays MATLAB function multiplication Newton’s Numerical Analysis observe odd function orthogonal phase angle phasor plot polar form power series radians real roots row vector Runge-Kutta method Second Edition shown in Figure sinusoids specified spreadsheet of Figure square matrix straight line substitution syms Taylor series tion total solution trigonometric Fourier series values variable voltage volts waveform zero