Free Download Engineering Analysis: Interactive Methods and Programs with FORTRAN, QuickBASIC, MATLAB, and Mathematica By Yen-Ching Pao
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Description
This book offers a streamlined introduction to key numerical techniques used in engineering analysis, illustrated with examples in FORTRAN, QuickBASIC, MATLAB, and Mathematica. Topics covered include:
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Matrix algebra and evaluation
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Solving systems of matrix equations
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Curve fitting techniques
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Methods for locating the roots of polynomials and transcendental equations
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Finite differences, interpolation, and numerical differentiation methods
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Numerical evaluation of single and double integrals
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Numerical approaches for solving ordinary differential equations
Engineering Analysis:
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Guides readers in developing proficiency with FORTRAN or QuickBASIC programming to address engineering challenges
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Introduces MATLAB and Mathematica, showing how to create supplementary m-files in MATLAB and custom toolkits in Mathematica using C-style syntax
Throughout the book, emphasis is placed on interactive programming, allowing users to input problem parameters directly via the keyboard.
Each numerical method is introduced with minimal theoretical derivation but accompanied by clear, step-by-step explanations of the computational approach to solve the problem at hand. This makes the book an excellent choice for self-study and a valuable reference tool for engineers and technical professionals.
Table of Contents
Matrix Algebra and Solution of Matrix Equations
Introduction
Manipulation of Matrices
Interactive Operation
Solution of Matrix Equation
Program Gauss – Gaussian Elimination Method
Program GauJor – Gauss-Jordan Elimination
Matrix Inversion, Determinant, and Program MatxInvD
Transformation of Coordinate Systems, Rotation, and Animation
Problems
Exact, Least-Squares, and Spline Curve-Fits
Introduction
Exact Curve Fit
Program LeastSq1- Linear Least-Squares Curve-Fit
Program LeastSqG – Generalized Least-Squares Curve-Fit
Program CubeSpln – Curve Fitting with Cubic Spline
Problems
Roots of Polynomial and Transcendental Equations
Introduction
Iterative Methods and Program Roots
Incremental and Bisection Search
Linear Interpolation
Newton-Raphson Method
Successive Substitution
Program NewRaphG – Generalized Newton-Raphson Iterative Method
Program Bairstow – Bairstow Method for Finding Polynomial Roots
Problems
Finite Differences, Interpolation, and Numerical Differentiation
Introduction
Finite Differences and Program DiffTabl – Constructing Difference Table
Program LagrangI – Applications of Lagrangian Interpolation Formula
Problems
Numerical Integration and Program Volume
Introduction
Program NuIntGra – Numerical Integration by Application of the Trapezoidal and Simpson Rules
Program Volume – Numerical Solution of Double Integral
Problems
Ordinary Differential Equations – Initial and Boundary Value Problems
Introduction
Program RungeKut – Application of Runge-Kutta Method for Solving the Initial-Value Problems
Program OdeBvpRK – Application of Runge-Kutta Method for Solving Boundary-Value Problems
Program OdeBvpFD – Application of Finite-Difference Method for Solving Boundary-Value Problems
Problems
Eigenvalue and Eigenvector Problems
Introduction
Programs EigenODE.Stb and EigenODE.Vib – for Solving Stability and Vibration Problems
Program CharacEq – Derivation of Characteristic Equation of a Specified Square Matrix
Program EigenVec – Solving Eigenvector by Gaussian Elimination Method
Principal Stresses and Planes
Quadratic Forms and Canonical Transformation
Program EigenvIt – Iterative Solution of the Eigenvalue and Eigenvector
Problems
Partial Differential Equations
Introduction
Program ParabPDE – Numerical Solution of Parabolic Partial Differential Equations
Program Relaxatn – Solving Elliptical Partial Differential Equations by Relaxation Method
Warping Analysis of a Twisted Bar with Noncircular Cross Section
Program WavePDE – Numerical Solution of Wave Problems Governed by Hyperbolic Partial Differential Equations
Problems
FORTRAN Commands and Programs
QuickBASIC Commands and Programs
MATLAB Commands and Programs
Mathematica Commands and Programs
Author and Subject Index
Author(s)
Biography
Pao, Yen-Ching
