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

By: Chapra, Steven C.
Material type: materialTypeLabelBookPublisher: New York : McGraw-Hill, 2012Edition: 3rd ed.Description: xvii, 653 p. : col. ill. ; 24 cm. + pbk.ISBN: 9780071086189.Subject(s): MATLAB -- Textbooks | Numerical analysis -- Data processing -- TextbooksDDC classification: 518
Contents:
Part one: Modeling, computers, and error analysis -- Mathematical modeling, numerical methods and problem solving -- Matlab fundamentals -- Programming with MATLAB -- Roundoff and truncation errors -- Part two: Roots and optimization -- Roots: bracketing methods -- Roots: open methods -- Optimization -- Part three: Linear systems -- Linear algebraic equations and matrices -- Gauss elimination -- LU factorization -- Matrix inverse and condition -- Iterative methods -- Eigenvalues -- Part four: Curve fitting -- Linear regression -- General linear least-squares and nonlinear regression -- Fourier analysis -- Polynomial interpolation -- Splines and piecewise Interpolation -- Part five: Integration and differentiation -- Numerical integration formulas -- Numerical integration of functions -- Numerical differentiation -- Part six: Ordinary differential equations -- Initial-value problems -- Adaptive methods and stiff systems -- Boundary-value problems.
Holdings
Item type Current library Call number Copy number Status Barcode
General lending MTU Bishopstown Library Lending 518 (Browse shelf(Opens below)) 1 Available 00163500
General lending MTU Bishopstown Library Lending 518 (Browse shelf(Opens below)) 1 Available 00163499
Total holds: 0

Enhanced descriptions from Syndetics:

Chapra focuses on problem-solving rather than theory, using MATLAB, and is intended for numerical methods users; hence theory is included only to inform key concepts.

Bibliography: (pages 644-645) and index.

Part one: Modeling, computers, and error analysis -- Mathematical modeling, numerical methods and problem solving -- Matlab fundamentals -- Programming with MATLAB -- Roundoff and truncation errors -- Part two: Roots and optimization -- Roots: bracketing methods -- Roots: open methods -- Optimization -- Part three: Linear systems -- Linear algebraic equations and matrices -- Gauss elimination -- LU factorization -- Matrix inverse and condition -- Iterative methods -- Eigenvalues -- Part four: Curve fitting -- Linear regression -- General linear least-squares and nonlinear regression -- Fourier analysis -- Polynomial interpolation -- Splines and piecewise Interpolation -- Part five: Integration and differentiation -- Numerical integration formulas -- Numerical integration of functions -- Numerical differentiation -- Part six: Ordinary differential equations -- Initial-value problems -- Adaptive methods and stiff systems -- Boundary-value problems.

CIT Module MATH 7016 - Core reading.

CIT Module MATH 7015 - Core reading.

Table of contents provided by Syndetics

  • Part 1 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 2 Roots and Optimization
  • Chapter 5 Roots: Bracketing Methods
  • Chapter 6 Roots: Open Methods
  • Chapter 7 Optimization
  • Part 3 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 4 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 5 Integration and Differentiation
  • Chapter 19 Numerical Integration Formulas
  • Chapter 20 Numerical Integration of Functions
  • Chapter 21 Numerical Differentiation
  • Part 6 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
  • Bibliography
  • Index