Title:

Advanced engineering mathematics with MATLAB

Personal Author:

Edition:

2nd ed.

Publication Information:

Australia : Brooks/Cole, 2000

ISBN:

9780534371647

### Available:*

Library | Item Barcode | Call Number | Material Type | Item Category 1 | Status |
---|---|---|---|---|---|

Searching... | 30000004741058 | TA345 H38 2000 | Open Access Book | Book | Searching... |

Searching... | 30000004558635 | TA345 H38 2000 | Open Access Book | Book | Searching... |

Searching... | 30000010077165 | TA345 H38 2000 | Unknown | Searching... |

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### Summary

### Summary

ADVANCED ENGINEERING MATHEMATICS WITH MATLAB® is written for engineers and engineering students who are interested in applying MATLAB® to solve practical engineering problems. The book emphasizes mathematical principles, not computations, with MATLAB® employed as a tool for analysis that shows how engineering problems are defined and solved. The book features complete MATLAB® integration throughout, abundant examples which show real practical applications, and end-of-chapter problems that reinforce techniques.

### Table of Contents

1 Introduction Introduction to MATLAB® |

MATLAB® Commands for Display and Plotting |

Creating MATLAB® Programs |

MATLAB® Programming Language |

Problem Solving and Programming (Optional) |

Reinforcement Exercises and Exploration Problems |

Annotated Bibliography |

Answers 2 Numbers and Vectors Properties of Real Numbers |

MATLAB® Computer Numbers (Optional) |

Complex Numbers |

Vectors in Two Dimensions and Three Dimensions |

Vectors in Higher Dimensions |

MATLAB® Vectors |

Complex Vectors |

Vector Spaces |

Vector Spaces of Functions |

Reinforcement Exercises and Exploration Problems |

Annotated Bibliography |

Answers 3 Matrices Basic Properties of Matrices |

MATLAB® Matrix Operations |

Square and Symmetric Matrices |

Determinants and Matrix Inverses |

Orthogonal and Triangular Matrices |

Systems of Linear Equations |

MATLAB® Matrix Functions |

Linear Transformations |

Reinforcement Exercises and Exploration Problems |

Annotated Bibliography |

Answers 4 Eigenvalues and Eigenvectors General Discussion of Eigenvalues |

Eigenvalues and Eigenvectors |

Matrix Eigenvalue Theorems |

Complex Vectors and Matrices |

MATLAB® Commands for Eigenvectors |

Matrix Calculus |

Similar and Diagonalizable Matrices |

Special Matrices and Their Eigenvalues (Optional) |

Applications to Differential Equations |

Reinforcement Exercises and Exploration Problems |

Annotated Bibliography |

Answers 5 Linear Differential Equations Classification of Differential Equations |

Linear Differential Equations |

Higher Order Differential Equations |

Second Order Differential Equations |

Particular Solutions of Differential Equations |

Systems of Differential Equations |

MATLAB® Solutions of Systems of Differential Equations |

Homogeneous Systems with Repeated Eigenvalues |

Nonhomogeneous Systems of Differential Equations |

Transforming Differential Equations |

Reinforcement Exercises and Exploration Problems |

Annotated Bibliography |

Answers 6 Advanced Differential Equations Functions and Differential Equations |

Sequences and Series |

Taylor Series |

Numerical Methods for Differential Equations |

Stiff Differential Equations |

Vector Equations |

Boundary Value Problems |

Equations with Variable Coefficients |

Bessel and Legendre Equations |

Reinforcement Exercises and Exploration Problems |

Annotated Bibliography |

Answers 7 Approximation of Functions Polynomial Interpolation |

Interpolation by Spline Functions |

Least-Squares Curve Fitting |

Orthogonal Functions |

Reinforcement Exercises and Exploration Problems |

Annotated Bibliography |

Answers 8 Fourier Analysis Fourier Series |

Properties of Fourier Series |

Fourier Transforms |

Reinforcement Exercises and Exploration Problems |

Annotated Bibliography |

Answers 9 Laplace Transforms Definition and Properties of the Laplace Transform |

Computation of Inverse Laplace Transforms |

MATLAB® and Laplace Transforms |

Applications to Differential Equations |

Applications of Laplace Transforms to Linear Systems |

Relationship of Fourier and Laplace Transforms |

Summary of Laplace Transform Properties |

Reinforcement Exercises and Exploration Problems |

Annotated Bibliography |

Answers 10 Discrete Systems Introduction to the Sequences and Discrete Functions |

Linear Difference Equations |

Approximation to Differential Equations |

Smoothing and Digital Filters |

Introduction to z-Transforms |

MATLAB® Commands for Discrete Systems |

z-Transform Solution of Difference Equations |

Applications of z-transforms to Linear Discrete Systems |

Frequency Response and Fourier Analysis |

Summary of z-transform Properties |

Reinforcement Exercises and Exploration Problems |

Annotated Bibliography |

Answers 11 The Discrete Fourier Transform and the Fft Frequency Analysis of Signals |

Discrete and Fast Fourier Transforms |

MATLAB® Fourier Commands |

Practical Signal Analysis |

Practical Signal Sampling and DFT Errors |

Analysis of DFT for Computation (Optional) |

Reinforcement Exercises and Exploration Problems |

Annotated |