Applied numerical method with MATLAB for engineers and scientists / Steven C. Chapra

By: Chapra, Steven C [author]Material type: TextTextPublication details: New York : McGraw Hill, 2012Edition: Third editionDescription: iv, 653 pages : illustrations ; 24 cmISBN: 9780071086189Subject(s): MATLAB -- TEXTBOOKS | NUMERICAL ANALYSIS DATA PROCESSING -- TEXTBOOKS | ENGINEERING MATHEMATICS -- TEXTBOOKSLOC classification: QA 297 .C43 2012
Contents:
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
Summary: 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).
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Gen. Ed. - COE General Circulation GC QA 297 .C43 2012 (Browse shelf (Opens below)) c.1 Available NULIB000006476

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).

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