Numerical methods in engineering practice / Amir Wadi Al-Khafaji, John R. Tooley.
By: Al-Khafaji, Amir Wadi.
Contributor(s): Tooley, John R.
Material type: BookPublisher: New York : Holt, Rinehart, and Winston, c1986Description: xiv, 642 p. : ill. ; 24 cm.ISBN: 003001753X.Subject(s): Engineering mathematicsDDC classification: 519.4Item type | Current library | Call number | Copy number | Status | Date due | Barcode | Item holds |
---|---|---|---|---|---|---|---|
General Lending | MTU Bishopstown Library Store Item | 519.4 (Browse shelf(Opens below)) | 1 | Available | 00030634 |
Total holds: 0
Includes bibliographical references and index.
Table of contents provided by Syndetics
- Preface
- 1 Introduction
- 1.1 Mathematical Models and Their Solutions
- 1.2 The Need for Numerical Solutions
- 1.3 Errors
- 1.4 Taylor Series
- 2 Matrices and Determinants
- 2.1 Introduction to Matrices
- 2.2 Special Matrices
- 2.3 Matrix Equality
- 2.4 Matrix Addition and Subtraction
- 2.5 Matrix Multiplication
- 2.6 Manipulation of Partitioned Matrices
- 2.7 Rules for Combined Matrix Operations
- 2.8 Application of Matrices to the Rotation of a Coordinate System
- 2.9 Determinants and Their Evaluation
- 2.10 Area and Volume Calculation Using Determinants
- 3 Mathematical Modeling of Typical Engineering Systems
- 3.1 Introduction
- 3.2 Electrcial Engineering Systems
- 3.3 Mechanical Engineering Systems
- 3.4 Civil Engineering Systems
- 3.5 Engineering System Response
- 3.6 Models Involving Partial Differential Models
- 3.7 Comparison of Engineering Models
- 4 Simulations Linear Algebraic Equations
- 4.1 Introduction
- 4.2 Cramer's Rule
- 4.3 Gauss's Elimination Method
- 4.4 Gauss-Jordan Elimination Method
- 4.5 Crout's Method
- 4.6 Square Root Method
- 4.7 Reducing Matrix Method
- 4.8 Solution of Tridiagonal Systems
- 4.9 Iterative Methods
- 4.10 Ill-Conditioned Sets and Scaling
- 4.11 Sets with More Unknowns Than Equations
- 4.12 Linear Equations Involving Fewer Unknowns Than Equations
- 4.13 Sets Involving Complex Coefficients
- 4.14 Comparison of Method Efficiencies
- 5 Matrix Inversion
- 5.1 Introduction
- 5.2 Cramer's Rule
- 5.3 Elimination Method
- 5.4 Reducting Matrix Method
- 5.5 Partitioning Method
- 5.6 Matrices Involving Complex Coefficients
- 5.7 Special Matrices
- 6 Nonlinear Algebraic Equations
- 6.1 Introduction
- 6.2 Graphical Method
- 6.3 Interval-Halving Method
- 6.4 False-Position Method
- 6.5 Newton-Raphson First Method
- 6.6 Newton-Raphson Second Method
- 6.7 Modified Newton-Raphson Methods
- 6.8 Lin-Bairstow Method for Roots of Polynomials
- 6.9 Newton-Raphson Method for Systems of Equations
- 6.10 Practical Considerations
- 7 Eigenproblems
- 7.1 Introduction
- 7.2 Characterization Equation Determination
- 7.3 Eigenvalues and Eigenvectors
- 7.4 Vector Iteration Techniques
- 7.5 Polynomial Iteration Method
- 7.6 Transformation Methods
- 7.7 Functions of a Matrix
- 7.8 Static Condensation
- 8 Interpolation
- 8.1 Introduction
- 8.2 Interpolating Polynomials for Even Intervals
- 8.3 Difference Operators and Difference Tables
- 8.4 Differences and Interpolating Polynomials
- 8.5 Interpolating Polynomials for Uneven Intervals
- 8.6 Interpolation Errors
- 8.7 Inverse Interpolation
- 8.8 Cubic Splines
- 9 Curve Fitting
- 9.1 Introduction
- 9.2 Introduction to the Method of Least Squares
- 9.3 What Type of Function to Fit
- 9.4 Linear Regression
- 9.5 Linearization
- 9.6 Nonlinear Regression
- 9.7 Multiple Regression
- 9.8 Orthogonal Polynomials for Equal Intervals
- 9.9 Goodness of Functional Approximations
- 10 Numerical Differentiation
- 10.1 Introduction
- 10.2 Review of Taylor Series
- 10.3 Numerical Differentiation of Functions