000 00312nam a2200121Ia 4500
999 _c179922
_d179922
040 _cCUS
082 _a518
_bSCA/N
100 _aScarborough,James B.
245 0 _aNumerical matheatical l analysis/
_cJames B.Scarborough,
260 _aNew Delhi:
_bOxford & IBH,
300 _a600p.
505 _a 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
942 _cWB16