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Numerical Mathematics and Computing

Edition: 05
Author(s): CHENEY/KINCAID; A/
ISBN10: 0534389937
ISBN13: 9780534389932
Format: Paperback
Pub. Date: 7/25/2003
Publisher(s): Brooks Cole

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Summary

Table of Contents

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. The text also helps students learn about errors that inevitably accompany scientific computations and arms them with methods for detecting, predicting, and controlling these errors. A more theoretical text with a different menu of topics is the authors' highly regarded NUMERICAL ANALYSIS: MATHEMATICS OF SCIENTIFIC COMPUTING, THIRD EDITION.

1 Introduction

1

(42)

1.1 Preliminary Remarks

1

(16)

Nested Multiplication

2

(2)

Errors: Absolute and Relative

4

(1)

Rounding and Chopping

4

(2)

First Programming Experiment

6

(1)

Mathematical Software

7

(10)

1.2 Review of Taylor Series

17

(26)

Taylor Series

17

(5)

Taylor's Theorem in Terms of (x-c)

22

(2)

Mean-Value Theorem

24

(1)

Taylor's Theorem in Terms of h

25

(2)

Alternating Series

27

(16)

2 Number Representation and Errors

43

(48)

2.1 Representation of Numbers in Different Bases

43

(11)

Base � Numbers

44

(1)

Conversion of Integer Parts

45

(2)

Conversion of Fractional Parts

47

(1)

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