TY - BOOK AU - Scarborough,James B. TI - Numerical matheatical l analysis U1 - 518 CY - New Delhi PB - Oxford & IBH N1 - 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 ER -