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Numerical methods in engineering practice / Amir Wadi Al-Khafaji, John R. Tooley.

By: Al-Khafaji, Amir Wadi.
Contributor(s): Tooley, John R.
Material type: materialTypeLabelBookPublisher: New York : Holt, Rinehart, and Winston, c1986Description: xiv, 642 p. : ill. ; 24 cm.ISBN: 003001753X.Subject(s): Engineering mathematicsDDC classification: 519.4
Holdings
Item 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

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