Solution manual for Numerical Mathematics and Computing 7th Edition by Ward Cheney, David Kincaid – Ebook PDF Instant Download/Delivery: 0357670841, 9780357670842
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ISBN 10: 0357670841
ISBN 13: 9780357670842
Author: E. Ward Cheney; David R. Kincaid
Authors Ward Cheney and David Kincaid show students of science and engineering the potential computers have for solving numerical problems and give them ample opportunities to hone their skills in programming and problem solving. NUMERICAL MATHEMATICS AND COMPUTING, 7th Edition also helps students learn about errors that inevitably accompany scientific computations and arms them with methods for detecting, predicting, and controlling these errors.
Numerical Mathematics and Computing 7th Table of contents:
Ch 1: Mathematical Preliminaries and Floating-Point Representation
1.1: Introduction
1.2: Mathematical Preliminaries
1.3: Floating-Point Representation
1.4: Loss of Significance
Ch 2: Linear Systems
Introduction
2.1: Naive Gaussian Elimination
2.2: Gaussian Elimination with Scaled Partial Pivoting
2.3: Tridiagonal and Banded Systems
Ch 3: Nonlinear Equations
Introduction
3.1: Bisection Method
3.2: Newton’s Method
3.3: Secant Method
Ch 4: Interpolation and Numerical Differentiation
Introduction
4.1: Polynomial Interpolation
4.2: Errors in Polynomial Interpolation
4.3: Estimating Derivatives and Richardson Extrapolation
Ch 5: Numerical Integration
Introduction
5.1: Trapezoid Method
5.2: Romberg Algorithm
5.3: Simpson’s Rules and Newton-Cotes Rules
5.4: Gaussian Quadrature Formulas
Ch 6: Spline Functions
Introduction
6.1: First-Degree and Second-Degree Splines
6.2: Natural Cubic Splines
6.3: B Splines: Interpolation and Approximation
Ch 7: Initial Values Problems
Introduction
7.1: Taylor Series Methods
7.2: Runge-Kutta Methods
7.3: Adaptive Runge-Kutta and Multistep Methods
7.4: Methods for First and Higher-Order Systems
7.5: Adams-Bashforth-Moulton Methods
Ch 8: More on Linear Systems
Introduction
8.1: Matrix Factorizations
8.2: Eigenvalues and Eigenvectors
8.3: Power Method
8.4: Iterative Solutions of Linear Systems
Ch 9: Least Squares Methods and Fourier Series
Introduction
9.1 Method of Least Squares
9.2: Orthogonal Systems and Chebyshev Polynomials
9.3: Examples of the Least-Squares Principle
9.4: Fourier Series
Ch 10: Monte Carlo Methods and Simulation
Introduction
10.1: Random Numbers
10.2: Estimation of Areas and Volumes by Monte Carlo Techniques
10.3: Simulation
Ch 11: Boundary-Value Problems
Introduction
11.1: Shooting Method
11.2: A Discretization Method
Ch 12: Partial Differential Equations
Introduction
12.1: Parabolic Problems
12.2: Hyperbolic Problems
12.3: Elliptic Problems
Ch 13: Minimization of Functions
Introduction
13.1: One-Variable Case
13.2: Multivariate Case
Ch 14: Linear Programming Problems
Introduction
14.1: Standard Forms and Duality
14.2: Simplex Method
14.3 Inconsistent Linear Systems
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