Advanced engineering mathematics with MATLAB
Başlık:
Advanced engineering mathematics with MATLAB
Yazar:
Harman, Thomas L., 1942-
ISBN:
9780534371647
Ek Yazar:
Edition:
2nd ed.
Yayım Bilgisi:
Pacific Grove, CA : Brooks/Cole Pub., c2000.
Fiziksel Tanım:
xxxiv, 750 p. : ill. ; 24 cm.
Title Subject:
Konu Terimleri:
Mevcut:*
Library | Materyal Türü | Barkod | Yer Numarası | Durum |
|---|---|---|---|---|
Searching... Pamukkale Merkez Kütüphanesi | Kitap | 0017471 | TA345.H324 2000 | Searching... Unknown |
Bound With These Titles
On Order
Özet
Özet
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 |
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