Numerical Methods for Engineers 8th Edition (ISE) By Steven C Chapra; Raymond P Canale
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Numerical Methods for Engineers 8th Edition (ISE) By Steven C Chapra; Raymond P Canale

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1,006
File size
41.04 MB
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Digital PDF
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eBook[PDF]
About this ebook
The "Numerical Methods for Engineers" (8th Edition, International Student Edition/ISE) by Steven C. Chapra and Raymond P. Canale is structured into 8 core parts, followed by case studies and appendices. [1, 2]
The primary topics and chapters covered in this edition include: [1, 2]
Part 1: Modeling, Computers, and Error Analysis
  • Mathematical Modeling and Engineering Problem Solving
  • Programming and Software (including implementations in MATLAB and Excel)
  • Approximations and Round-Off Errors
  • Truncation Errors and the Taylor Series [1, 2]
Part 2: Roots of Equations
  • Bracketing Methods (e.g., Bisection, False-Position)
  • Open Methods (e.g., Fixed-Point Iteration, Newton-Raphson, Secant method)
  • Roots of Polynomials [1]
Part 3: Linear Algebraic Equations
  • Gauss Elimination (including naive Gauss elimination, pitfalls, and matrix inversion)
  • LU Decomposition and Matrix Inversion
  • Special Matrices and Gauss-Seidel iteration [1]
Part 4: Optimization
  • One-Dimensional Unconstrained Optimization
  • Multidimensional Unconstrained Optimization
  • Constrained Optimization [1]
Part 5: Curve Fitting
  • Least-Squares Regression (Linear, polynomial, and multiple linear regression)
  • Interpolation (Newton's polynomials, Lagrange polynomials, and cubic splines)
  • Fourier Approximation (including the Fast Fourier Transform) [1]
Part 6: Numerical Differentiation and Integration
  • Newton-Cotes Integration Formulas (e.g., Trapezoidal and Simpson's rules)
  • Integration of Equations (including Gauss Quadrature and Monte Carlo integration)
  • Numerical Differentiation [1]
Part 7: Ordinary Differential Equations (ODEs)
  • Runge-Kutta Methods (e.g., Euler's method, Heun's method, Classical RK4)
  • Stiffness and Multistep Methods
  • Boundary-Value and Eigenvalue Problems [1]
Part 8: Partial Differential Equations (PDEs)
  • Finite Difference: Elliptic Equations
  • Finite Difference: Parabolic Equations
  • Finite-Element Method [1, 2]

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Topics

Approximations and Round-Off Errors Boundary-Value and Eigenvalue Problems Constrained Optimization Curve Fitting Finite Difference: Elliptic Equations Finite Difference: Parabolic Equations Finite-Element Method Fourier Approximation (including the Fast Fourier Transform) Gauss Elimination Integration of Equations Interpolation Least-Squares Regression Linear Algebraic Equations LU Decomposition and Matrix Inversion Mathematical Modeling and Engineering Problem Solving Modeling Computers and Error Analysis Multidimensional Unconstrained Optimization Newton-Cotes Integration Formulas Numerical Differentiation Numerical Differentiation and Integration One-Dimensional Unconstrained Optimization Open Methods Optimization Ordinary Differential Equations Partial Differential Equations Programming and Software including implementations in MATLAB and Excel Roots of Equations Bracketing Methods Roots of Polynomials Runge-Kutta Methods Special Matrices and Gauss-Seidel iteration Stiffness and Multistep Methods Truncation Errors and the Taylor Series
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