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Numerical matheatical l analysis/ James B.Scarborough,

By: Scarborough,James BMaterial type: Text

TextPublication details: New Delhi: Oxford & IBH, Description: 600pDDC classification: 518

Contents:

1. Introduction 2. Approximate Numbers and Significant Figures 2 3. Rounding of Numbers 4. Absolute, Relative., and Percentage Errors ^ 5. Relation between Relative Error and the Number of Significant Figures J 6. The General Formula for Errors ® 7. Application of the Error Formulas to the Fundamental of Arithmetic and to Logarithms 10 8. The Impossibility, in General, of Obtaining a Result More Accurate than the Data Used 9. Further Considerations on the Accuracy of a Computed Result 23 10. Accuracy in the Evaluation of a Formula or Complex Ex pression 11. Accuracy in the Determination of Arguments from a Tabulated Function 12. Accuracy of Series Approximations 13. Errors in Determinants 14. A Final Remark Exercises I CHAPTER II INTERPOLATION DIFFERENCES. NEWTON'S FORMULAS OF INTERPOLATION 15. Introduction 16. Differences *' 17. Effect of an Error in a Tabular Value. 18. Relation between Differences and Derivatives 19. Differences of a Polynomial 80. Newton's Formula for Forward Interpolation 56 21. Newton's Formula for Backward Interpolation 59

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Holdings
Item type	Current library	Call number	Status	Date due	Barcode	Item holds
General Books	Central Library, Sikkim University General Book Section	518 SCA/N (Browse shelf(Opens below))	Available		P34933

Total holds: 0

1. Introduction
2. Approximate Numbers and Significant Figures 2
3. Rounding of Numbers
4. Absolute, Relative., and Percentage Errors ^
5. Relation between Relative Error and the Number of Significant
Figures J
6. The General Formula for Errors ®
7. Application of the Error Formulas to the Fundamental of Arithmetic and to Logarithms 10
8. The Impossibility, in General, of Obtaining a Result More
Accurate than the Data Used
9. Further Considerations on the Accuracy of a Computed Result 23
10. Accuracy in the Evaluation of a Formula or Complex Ex
pression
11. Accuracy in the Determination of Arguments from a Tabulated
Function
12. Accuracy of Series Approximations
13. Errors in Determinants
14. A Final Remark
Exercises I
CHAPTER II
INTERPOLATION
DIFFERENCES. NEWTON'S FORMULAS OF INTERPOLATION
15. Introduction
16. Differences *'
17. Effect of an Error in a Tabular Value.
18. Relation between Differences and Derivatives
19. Differences of a Polynomial
80. Newton's Formula for Forward Interpolation 56
21. Newton's Formula for Backward Interpolation 59

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