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9780471509998

Elementary Numerical Analysis, 2nd Edition

by
  • ISBN13:

    9780471509998

  • ISBN10:

    047150999X

  • Edition: 2nd
  • Format: Hardcover
  • Copyright: 1993-01-01
  • Publisher: Wiley

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Supplemental Materials

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Summary

Offering a clear, precise, and accessible presentation, complete with MATLAB programs, this new Third Edition of Elementary Numerical Analysis gives students the support they need to master basic numerical analysis and scientific computing. Now updated and revised, this significant revision features reorganized and rewritten content, as well as some new additional examples and problems. The text introduces core areas of numerical analysis and scientific computing along with basic themes of numerical analysis such as the approximation of problems by simpler methods, the construction of algorithms, iteration methods, error analysis, stability, asymptotic error formulas, and the effects of machine arithmetic.

Table of Contents

Taylor Polynomials
1(18)
The Taylor polynomial
2(5)
The error in Taylor's polynomial
7(6)
Polynomial evaluation
13(6)
Computer Representation of Numbers
19(16)
The binary number system
20(5)
Floating-point numbers
25(10)
Error
35(26)
Errors: definitions, sources, and examples
36(12)
Propagation of error
48(5)
Summation
53(8)
Rootfinding
61(40)
The bisection method
62(6)
Newton's method
68(10)
Secant method
78(5)
Fixed point iteration
83(11)
Ill-behaved rootfinding problems
94(7)
Interpolation
101(40)
Polynomial interpolation
102(9)
Divided differences
111(10)
Error in polynomial interpolation
121(8)
Interpolation using spline functions
129(12)
Approximation of Functions
141(20)
The best approximation problem
142(5)
Chebyshev polynomials
147(6)
A near-minimax approximation method
153(8)
Numerical Integration and Differentiation
161(44)
The trapezoidal and Simpson rules
162(10)
Error formulas
172(15)
Gaussian numerical integration
187(8)
Numerical differentiation
195(10)
Solution of Systems of Linear Equations
205(98)
Systems of linear equations
206(4)
Gaussian elimination
210(15)
Matrix arithmetic
225(13)
The LU factorization
238(10)
Error in solving linear systems
248(8)
Least squares data fitting
256(12)
The eigenvalue problem
268(14)
Iteration methods
282(9)
Nonlinear systems
291(12)
The Numerical Solution of Differential Equations
303(68)
Theory of differential equations: An introduction
304(7)
Euler's method
311(8)
Convergence analysis of Euler's method
319(7)
Taylor and Runge-Kutta methods
326(13)
Multistep methods
339(10)
Stability of numerical methods
349(10)
Systems of differential equations
359(12)
Appendix A Mean Value Theorems 371(10)
Appendix B Mathematical Formulas 381(10)
Appendix C Numerical Analysis Software Packages 391(6)
Answers to Selected Problems 397(20)
References 417(4)
Index 421

Supplemental Materials

What is included with this book?

The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any access cards, study guides, lab manuals, CDs, etc.

The Used, Rental and eBook copies of this book are not guaranteed to include any supplemental materials. Typically, only the book itself is included. This is true even if the title states it includes any access cards, study guides, lab manuals, CDs, etc.

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