Applied numerical method with MATLAB for engineers and scientists /
Chapra, Steven C.
Applied numerical method with MATLAB for engineers and scientists / Steven C. Chapra - Third edition - New York : McGraw Hill Education, c2012 - iv, 653 pages : illustrations ; 24 cm
Includes bibliographical references and index.
Part One: Modeling, Computers, and Error Analysis -- 1: Mathematical Modelin Numerical Methods and Problem Solving -- 2: MATLAB Fundamentals -- 3: Programming with MATLAB -- 4: Roundoff and Truncation Errors -- Part Two: Roots and Optimization -- 5: Roots: Bracketing Methods -- 6: Roots: Open Methods -- 7: Optimization -- Part Three: Linear Systems -- 8: Linear Algebraic Equations and Matrices -- 9: Gauss Elimination -- 10: LU Factorization -- 11: Matrix Inverse and Condition -- 12: Iterative Methods -- 13: Eigenvalues -- Part Four: Curve Fitting -- 14: Linear Regression -- 15: General Linear Least-Squares and Nonlinear Regression -- 16: Fourier Analysis -- 17: Polynomial Interpolation -- 18: Splines and Piecewise Interpolation -- Part Five: Integration and Differentiation -- 19: Numerical Integration Formulas -- 20: Numerical Integration of Functions -- 21: Numerical Differentiation -- Part Six: Ordinary Differential Equations -- 22: Initial-Value Problems -- 23: Adaptive Methods and Stiff Systems -- 24: Boundary-Value Problems -- Appendix A: MATLAB Built-in Functions -- Appendix B MATLAB M-file Functions
Suitable for engineering and science students who need to learn numerical problem solving, this book introduces theory to inform key concepts which are framed in applications and demonstrated using MATLAB. It features chapters on Numerical Differentiation, Optimization, and Boundary-Value Problems (ODEs).
9780071086189
MATLAB -- TEXTBOOKS
QA 297 .C43 2012
Applied numerical method with MATLAB for engineers and scientists / Steven C. Chapra - Third edition - New York : McGraw Hill Education, c2012 - iv, 653 pages : illustrations ; 24 cm
Includes bibliographical references and index.
Part One: Modeling, Computers, and Error Analysis -- 1: Mathematical Modelin Numerical Methods and Problem Solving -- 2: MATLAB Fundamentals -- 3: Programming with MATLAB -- 4: Roundoff and Truncation Errors -- Part Two: Roots and Optimization -- 5: Roots: Bracketing Methods -- 6: Roots: Open Methods -- 7: Optimization -- Part Three: Linear Systems -- 8: Linear Algebraic Equations and Matrices -- 9: Gauss Elimination -- 10: LU Factorization -- 11: Matrix Inverse and Condition -- 12: Iterative Methods -- 13: Eigenvalues -- Part Four: Curve Fitting -- 14: Linear Regression -- 15: General Linear Least-Squares and Nonlinear Regression -- 16: Fourier Analysis -- 17: Polynomial Interpolation -- 18: Splines and Piecewise Interpolation -- Part Five: Integration and Differentiation -- 19: Numerical Integration Formulas -- 20: Numerical Integration of Functions -- 21: Numerical Differentiation -- Part Six: Ordinary Differential Equations -- 22: Initial-Value Problems -- 23: Adaptive Methods and Stiff Systems -- 24: Boundary-Value Problems -- Appendix A: MATLAB Built-in Functions -- Appendix B MATLAB M-file Functions
Suitable for engineering and science students who need to learn numerical problem solving, this book introduces theory to inform key concepts which are framed in applications and demonstrated using MATLAB. It features chapters on Numerical Differentiation, Optimization, and Boundary-Value Problems (ODEs).
9780071086189
MATLAB -- TEXTBOOKS
QA 297 .C43 2012