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E-raamat: Engineering Analysis: Interactive Methods and Programs with FORTRAN, QuickBASIC, MATLAB, and Mathematica

(University of Nebraska, Lincoln, Nebraska, USA (retired))
  • Formaat: 400 pages
  • Ilmumisaeg: 24-Apr-2019
  • Kirjastus: CRC Press Inc
  • Keel: eng
  • ISBN-13: 9780429525445
  • Formaat - EPUB+DRM
  • Hind: 221,00 €*
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  • Raamatukogudele
  • Formaat: 400 pages
  • Ilmumisaeg: 24-Apr-2019
  • Kirjastus: CRC Press Inc
  • Keel: eng
  • ISBN-13: 9780429525445

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Introduces numerical concepts in engineering analysis, using FORTRAN, QuickBASIC, MATLAB, and Mathematica to illustrate examples. Minimum mathematical derivations are given for each numerical method covered, with thorough explanations of computational procedures to solve a specific problem. Emphasis is on interactive operation in developing computer programs. Coverage include matrix algebra and analysis, matrix equations, transcendental equations, and numerical computation of single and double integrals and ordinary differential equations. Annotation c. by Book News, Inc., Portland, Or.

This book provides a concise introduction to numerical concepts in engineering analysis, using FORTRAN, QuickBASIC, MATLAB, and Mathematica to illustrate the examples. Discussions include:
  • matrix algebra and analysis
  • solution of matrix equations
  • methods of curve fit
  • methods for finding the roots of polynomials and transcendental equations
  • finite differences and methods for interpolation and numerical differentiation
  • numerical computation of single and double integrals
  • numerical solution of ordinary differential equations
    Engineering Analysis:
  • teaches readers to become proficient in FORTRAN or QuickBASIC programming to solve engineering problems
  • provides an introduction to MATLAB and Mathematica, enabling readers to write supplementary m-files for MATLAB and toolkits for Mathematica using C-like commands
    The book emphasizes interactive operation in developing computer programs throughout, enabling the values of the parameters involved in the problem to be entered by the user of the program via a keyboard.
    In introducing each numerical method, Engineering Analysis gives minimum mathematical derivations but provides a thorough explanation of computational procedures to solve a specific problem. It serves as an exceptional text for self-study as well as resource for general reference.
  • 1 Matrix Algebra and Solution of Matrix Equations
    1(64)
    1.1 Introduction
    1(1)
    1.2 Manipulation of Matrices
    2(23)
    1.3 Solution of Matrix Equation
    25(5)
    1.4 Program Gauss -- Gaussian Elimination Method
    30(11)
    1.5 Matrix Inversion, Determinant, and Program MatxInvD
    41(13)
    1.6 Problems
    54(9)
    1.7 Reference
    63(2)
    2 Exact, Least-Squares, and Spline Curve-Fits
    65(42)
    2.1 Introduction
    65(1)
    2.2 Exact Curve Fit
    65(6)
    2.3 Program LeastSq1 -- Linear Least-Squares Curve-Fit
    71
    2.4 Program LeastSqG -- Generalized Least-Squares Curve-Fit
    70
    2.5 Program CubeSpln -- Curve Fitting with Cubic Spline
    88(12)
    2.6 Problems
    100(5)
    2.7 Reference
    105(2)
    3 Roots of Polynomial and Transcendental Equations
    107(36)
    3.1 Introduction
    107(1)
    3.2 Iterative Methods and Program Roots
    108(10)
    3.3 Program NewRaphG -- Generalized Newton-Raphson Iterative Method
    118(9)
    3.4 Program Bairstow -- Bairstow Method for Finding Polynomial Roots
    127(9)
    3.5 Problems
    136(5)
    3.6 References
    141(2)
    4 Finite Differences, Interpolation, and Numerical Differentiation
    143(28)
    4.1 Introduction
    143(1)
    4.2 Finite Differences and Program DiffTabl -- Constructing Difference Table
    144(17)
    4.3 Program LagrangI -- Applications of Lagrangian Interpolation Formula
    161(7)
    4.4 Problems
    168(2)
    4.5 Reference
    170(1)
    5 Numerical Integration and Program Volume
    171(30)
    5.1 Introduction
    171(3)
    5.2 Program NuIntGra -- Numerical Integration by Application of the Trapezoidal and Simpson Rules
    174(12)
    5.3 Program Volume -- Numerical Solution of Double Integral
    186(11)
    5.4 Problems
    197(3)
    5.5 References
    200(1)
    6 Ordinary Differential Equations -- Initial and Boundary Value Problems
    201(56)
    6.1 Introduction
    201(1)
    6.2 Program RungeKut -- Application of Runge-Kutta Method for Solving InitialValue Problems
    202(21)
    6.3 Program OdeBvpRK -- Application of Runge-Kutta Method for Solving Boundary Value Problems
    223(11)
    6.4 Program OdeBvpFD -- Application of Finite-Difference Method for Solving Boundary-Value Problems
    234(13)
    6.5 Problems
    247(9)
    6.6 References
    256(1)
    7 Eigenvalue and Eigenvector Problems
    257(44)
    7.1 Introduction
    257(3)
    7.2 Programs EigenODE.Stb and EigenODE.Vib -- for Solving Stability and Vibration Problems
    260(7)
    7.3 Program CharacEq -- Derivation of Characteristic Equation of a Specified Square Matrix
    267(8)
    7.4 Program Eigen Vec -- Solving Eigenvector by Gaussian Elimination Method
    275(10)
    7.5 Program EigenvIt -- Iterative Solution of Eigenvalue and Eigenvector
    285(9)
    7.6 Problems
    294(6)
    7.7 References
    300(1)
    8 Partial Differential Equations
    301(48)
    8.1 Introduction
    301(1)
    8.2 Program ParabPDE -- Numerical Solution of Parabolic Partial Differential Equations
    302(9)
    8.3 Program Relaxatn -- Solving Elliptical Partial Differential Equations by Relaxation Method
    311(21)
    8.4 Program WavePDE -- Numerical Solution of Wave Problems Governed by Hyperbolic Partial Differential Equations
    332(10)
    8.5 Problems
    342(5)
    8.6 References
    347(2)
    General Index 349(4)
    FORTRAN Commands and Programs Index 353(2)
    QuickBASIC Commands and Programs Index 355(2)
    MATLAB Commands and Programs Index 357(2)
    Mathematica Commands and Programs Index 359
    Pao, Yen-Ching