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Numerical Methods for Engineers 8th Edition 2021 by Steven C. Chapra, Raymond P., Canale, McGraw Hill

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  • General Information  
    Author(s)Steven C. Chapra, Raymond P., Canale
    PublisherMcGraw Hill
    Edition8th Edition
    Publish YearOctober 2021


    McGraw Hill Numerical Methods for Engineers 8th Edition 2021 by Steven C. Chapra, Raymond P., Canale


    The eighth edition of Chapra and Canale's ‘Numerical Methods for Engineers’ retains the instructional techniques that have made the text so successful The book covers the standard numerical methods employed by both students and practicing engineers Although relevant theory is covered the primary emphasis is on how the methods are applied for engineering problem solving Each part of the book includes a chapter devoted to case studies from the major engineering disciplines Numerous new or revised end of chapter problems and case studies are drawn from actual engineering practice This edition also includes several new topics including a new formulation for cubic splines Monte Carlo integration and supplementary material on hyperbolic partial differential equations.

    Key Features

    • Strong emphasis on both programming and packages to apply numerical methods for problem solving.
    • Monte Carlo integration, increasingly used in engineering and science, has been added.
    • New, improved formulation for cubic splines that is easier to understand & compatible with MATLAB algorithm
    • Supplementary material on hyperbolic partial differential equations (PDEs) has been added
    • Student oriented pedagogy Features supporting this goal are the overall organization, the use of introductions and
      epilogues to consolidate major topics, the extensive use of worked examples and case studies from all areas of
      engineering, and liberal use of figures to graphically illuminate concepts and theory.

    Table of Contents

    Part 1 -Modeling, Computers, and Error Analysis
    1) Mathematical Modeling and Engineering Problem Solving
    2) Programming and Software
    3) Approximations and Round-Off Errors
    4) Truncation Errors and the Taylor Series
    Part 2 -Roots of Equations
    5) Bracketing Methods
    6) Open Methods
    7) Roots of Polynomials
    8) Case Studies: Roots of Equations
    Part 3 -Linear Algebraic Equations
    9) Gauss Elimination
    10) LU Decomposition and Matrix Inversion
    11) Special Matrices and Gauss-Seidel
    12) Case Studies: Linear Algebraic Equations
    Part 4 -Optimization
    13) One-Dimensional Unconstrained Optimization
    14) Multidimensional Unconstrained Optimization
    15) Constrained Optimization
    16) Case Studies: Optimization
    Part 5 -Curve Fitting
    17) Least-Squares Regression
    18) Interpolation
    19) Fourier Approximation
    20) Case Studies: Curve Fitting
    Part 6 -Numerical Differentiation and Integration
    21) Newton-Cotes Integration Formulas
    22) Integration of Equations
    23) Numerical Differentiation
    24) Case Studies: Numerical Integration and Differentiation
    Part 7 -Ordinary Differential Equations
    25) Runge-KuttaMethods
    26) Stiffness and Multistep Methods
    27) Boundary-Value and Eigenvalue Problems
    28) Case Studies: Ordinary Differential Equations
    Part 8 -Partial Differential Equations
    29) Finite Difference: Elliptic Equations
    30) Finite Difference: Parabolic Equations
    31) Finite-Element Method
    32) Case Studies: Partial Differential Equations
    Appendix A -The Fourier Series
    Appendix B -Getting Started with Matlab
    Appendix C -Getting Started with Mathcad