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 | 1:CHECKING | 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 |