Numerical Methods for Engineers – Steven Chapra – 5th Edition

Description

The fifth edition of Numerical Methods for Engineers with Software and Programming Applications continues its tradition of excellence.
The revision retains the successful pedagogy of the prior editions. Chapra and Canale’s unique approach opens each part of the text with sections called Motivation, Mathematical Background, and Orientation, preparing the student for what is to come in a motivating and engaging manner. Each part closes with an Epilogue containing sections called Trade-Offs, Important Relationships and Formulas, and Advanced Methods and Additional References. Much more than a summary, the Epilogue deepens understanding of what has been learned and provides a peek into more advanced methods.

Users will find use of software packages, specifically MATLAB and Excel with VBA. This includes material on developing MATLAB m-files and VBA macros. Also, many, many more challenging problems are included. The expanded breadth of engineering disciplines covered is especially evident in the problems, which now cover such areas as biotechnology and biomedical engineering.

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  • PART ONE MODELING, COMPUTERS, AND ERROR ANALYSIS

    Chapter 1 Mathematical Modeling, Numerical Methods and Problem Solving
    Chapter 2 MATLAB Fundamentals
    Chapter 3 Programming with MATLAB
    Chapter 4 Roundoff and Truncation Errors

    PART TWO ROOTS AND OPTIMIZATION

    Chapter 5 Roots: Bracketing Methods
    Chapter 6 Roots: Open Methods
    Chapter 7 Optimization

    PART THREE LINEAR SYSTEMS

    Chapter 8 Linear Algebraic Equations and Matrices
    Chapter 9 Gauss Elimination
    Chapter 10 LU Factorization
    Chapter 11 Matrix Inverse and Condition
    Chapter 12 Iterative Methods
    Chapter 13 Eigenvalues

    PART FOUR CURVE FITTING

    Chapter 14 Linear Regression
    Chapter 15 General Linear Least-Squares and Nonlinear Regression
    Chapter 16 Fourier Analysis
    Chapter 17 Polynomial Interpolation
    Chapter 18 Splines and Piecewise Interpolation

    PART FIVE INTEGRATION AND DIFFERENTIATION

    Chapter 19 Numerical Integration Formulas
    Chapter 20 Numerical Integration of Functions
    Chapter 21 Numerical Differentiation

    PART SIX ORDINARY DIFFERENTIAL EQUATIONS

    Chapter 22 Initial-Value Problems
    Chapter 23 Adaptive Methods and Stiff Systems
    Chapter 24 Boundary-Value Problems

    Appendix A MATLAB Built-in Functions
    Appendix B MATLAB M-file Functions
  • Citation

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