An introduction to numerical computations
著者
書誌事項
An introduction to numerical computations
Macmillan, c1989
2nd ed
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注記
Bibliography: p. 417-418
Includes index
内容説明・目次
内容説明
This introduction to modern numerical methods encourages students in mathematics, physics, engineering, computer science or physical science to develop computational intuition and self-reliance by comparing the performance of various methods in solving a given problem. Number representation and round-off are presented in a hypothetical computer decimal word, instead of in binary representation, to simplify the explanation of origins and propagation of round-off error. Linear equations are studied directly after the general topics of round-off and error propagation. New optional sections include explanation and demonstration of Fourier and differential equation methods for analyzing linear systems in either state space or block diagram representations. Recent developments are reflected in material covering computational practice in an expanded eigenvalue section, and the discrete Fourier transform, with its application to filtering, is explained.
目次
- Computer number representation and round-off
- the solution of simultaneous linear equations
- interpolation
- numerical differentiation and integration
- nonlinear equations
- function approximation and data fitting
- the solutions of ordinary differential equations. Appendices: fundamentals of matrix theory
- calculus background.
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