Chapra, Steven C., author.

Numerical methods for engineers / Steven C. Chapra and Raymond P. Canale. - Eight edition. - New York, New York : Mc-Graw Hill, c2021. - xvi, 988 pages : illustrations ; 23 cm

Includes bibliographical references and index.

Chapter 1 : Mathematical modeling and engineering problem solving
Chapter 2 : Programming and software
Chapter 3 : Approximations and round-off errors
Chapter 4 : Truncation errors and the Taylor series
Chapter 5 : Bracketing methods
Chapter 6 : Open methods
Chapter 7 : Roots of polynomials
Chapter 8 : Case studies: roots and equations
Chapter 9 : Gauss elimination
Chapter 10 : LU decomposition and matrix inversion
Chapter 11 : Special matrices and Gauss-Seidel
Chapter 12 : Case studies : linear algebraic equations
Chapter 13 : One-dimensional unconstrained optimization
Chapter 14 : Multidimensional unconstrained optimization
Chapter 15 : Constrained optimization
Chapter 16 : Case studies : optimization
Chapter 17 : Least-squares regression
Chapter 18 : Interpolation
Chapter 19 : Fourier approximation
Chapter 20 : Case studies : Curve fitting
Chapter 21 : Newton-cotes integration formulas
Chapter 22 : Integration of equations
Chapter 23 : Numerical differentiation
Chapter 24 : Case studies : numerical integration and differentiation
Chapter 25 : Runge-Kutta methods
Chapter 26 : Stiffness and multistep methods
Chapter 27 : Boundary-value and eigenvalue problems
Chapter 28 : Case studies : ordinary differential equations
Chapter 29 : Finite difference : Elliptic equations
Chapter 30 : Finite difference : parabolic equations
Chapter 31 : Finite-element method
Chapter 32 : Case studies : partial differential equations


In English text.

9781260571387


Engineering mathematics--Data processing.
Numerical calculations--Data processing.
Microcomputers--Programming.

TA 345 / C43 2021

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