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Numerical Mathematics and Computing - Hardcover By Cheney, E. Ward - VERY GOOD

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Item specifics

Condition
Very Good: A book that has been read and does not look new, but is in excellent condition. No ...
Brand
Unbranded
Book Title
Numerical Mathematics and Computing
MPN
Does not apply
ISBN
9781133103714

About this product

Product Identifiers

Publisher
Brooks/Cole
ISBN-10
1133103715
ISBN-13
9781133103714
eBay Product ID (ePID)
111539825

Product Key Features

Number of Pages
704 Pages
Language
English
Publication Name
Numerical Mathematics and Computing
Subject
Numerical Analysis, General, Calculus
Publication Year
2012
Features
Revised
Type
Textbook
Subject Area
Mathematics
Author
E. Ward Cheney, David R. Kincaid
Format
Hardcover

Dimensions

Item Height
1.2 in
Item Weight
51.3 Oz
Item Length
10.2 in
Item Width
8.2 in

Additional Product Features

Edition Number
7
Intended Audience
College Audience
Dewey Edition
22
Dewey Decimal
518
Table Of Content
1. MATHEMATICAL PRELIMINARIES AND FLOATING-POINT REPRESENTATION. Introduction, Mathematical Preliminaries. Floating-Point Representation. Loss of Significance. 2. LINEAR SYSTEMS. Naive Gaussian Elimination. Gaussian Elimination with Scaled Partial Pivoting. Tridiagonal and Banded Systems. 3. NONLINEAR EQUATIONS. Bisection Method. Newtons Method, Secant Method. 4. INTERPOLATION AND NUMBERICAL DIFFERENTIATION. Polynomial Interpolation. Errors in Polynomial Interpolation. Estimating Derivatives and Richardson Extrapolation. 5. NUMERICAL INTEGRATION. Trapezoid Method. Romberg Algorithm. Simpsons Rules and Newton-Cotes Rules. Gaussian Quadrature Formulas. 6. SPLINE FUNCTIONS. First-Degree and Second-Degree Splines. Natural Cubic Splines. B Splines: Interpolation and Approximation. 7. INITIAL VALUES PROBLEMS. Taylor Series Methods. Runge-Kutta Methods. Adaptive Runge-Kutta and Multistep Methods. Methods for First and Higher-Order Systems. Adams-Bashforth-Moulton Methods. 8. MORE ON LINEAR SYSTEMS. Matrix Factorizations. Eigenvalues and Eigenvectors. Power Method. Iterative Solutions of Linear Systems. 9. LEAST SQUARES METHODS AND FOURIER SERIES. Method of Least Squares. Orthogonal Systems and Chebyshev Polynomials. Examples of the Least-Squares Principle. Fourier Series. 10. MONTE CARLO METHODS AND SIMULATION. Random Numbers. Estimation of Areas and Volumes by Monte Carlo Techniques. Simulation. 11. BOUNDARY-VALUE PROBLEMS. Shooting Method. A Discretization Method. 12. PARTIAL DIFFERENTIAL EQUATIONS. Parabolic Problems. Hyperbolic Problems. Elliptic Problems. 13. MINIMIZATION OF FUNTIONS. One-Variable Case. Multivariable Case. 14. LINEAR PROGRAMMING PROBLEMS. Standard Forms and Duality. Simplex Method, Inconsistent Linear Systems. APPENDIX A. ADVICE ON GOOD PROGRAMMING PRACTICES. Programming Suggestions. APPENDIX B. REPRESENTATION OF NUMBERS IN DIFFERENT BASES. Representation of Numbers in Different Bases. APPENDIX C. ADDITIONAL DETAILS ON IEEE FLOATING-POINT ARITHMETIC. More on IEEE Standard Floating-Point Arithmetic. APPENDIX D. LINEAR ALGEBRA CONCEPTS AND NOTATION. Elementary Concepts. ANSWERS FOR SELECTED EXERCISES. BIBLIOGRAPHY. INDEX.
Edition Description
Revised edition
Synopsis
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.

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  • by gumeye5
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    The product came quickly and is at a great price compared to the hardcover.

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