Numerical Methods for Engineers – Steven Chapra – 3rd Edition

Description

Steven Chapra’s Applied Numerical Methods with MATLAB, third edition, is written for engineering and science students who need to learn numerical problem solving. Theory is introduced to inform key concepts which are framed in applications and demonstrated using MATLAB. The book is designed for a one-semester or one-quarter course in numerical methods typically taken by undergraduates.

The third edition features new chapters on Eigenvalues and Fourier Analysis and is accompanied by an extensive set of m-files and instructor materials.

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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
    • Full Title: Applied Numerical Methods with MATLAB for Engineers & Scientists
    • Author/s:
    • ISBN-10: 0075612542
    • ISBN-13: 9780075612544
    • Edition: 3rd Edition
    • Topic: Math
    • Subtopic: Numerical Methods
    • File Type: eBook | Solution Manual
    • Idioma: English

Download now Applied Numerical Methods with MATLAB for Engineers & Scientists

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653 pag.
8 mb
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236 pag.
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