Numerical matheatical l analysis/ (Record no. 179921)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03468nam a2200133Ia 4500 |
| 040 ## - CATALOGING SOURCE | |
| Transcribing agency | CUS |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 518 |
| Item number | SCA/N |
| 100 ## - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Scarborough,James B. |
| 245 #0 - TITLE STATEMENT | |
| Title | Numerical matheatical l analysis/ |
| Statement of responsibility, etc. | James B.Scarborough |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc. | New Delhi: |
| Name of publisher, distributor, etc. | Oxford & IBH, |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 600 p. |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Formatted contents note | <br/>1. Introduction <br/>2. Approximate Numbers and Significant Figures 2<br/>3. Bounding of Numbers <br/>4. Absolute, Relative, and Percentage Errors <br/>6. Relation between Relative Error and the Number of Significant<br/>Figures ^<br/>6. The General Formula for Errors • , 8<br/>7. Application of the Error Formulas to the Fundamental Opera<br/>tions of Arithmetic and to Logarithms V10 10<br/>8. The Impossibili^, in General, of Obtaining a Result More<br/>Accurate than the Data Used<br/>9. Further Considerations on the Accuracy of a Computed Result 23<br/>10. Accuracy in the Evaluation of a Formula or Complex<br/> Ex<br/>11. Accuracy in the Determination of Arguments from a Tabulated<br/>Function<br/>12. Accuracy of Series Approximations 82<br/>13. Errors in Determinants <br/>14. A Final Remark<br/>Exercises I<br/>CHAPTER H<br/>INTERPOLATION<br/>DIFFERENCES. NEWTON'S FORMULAS OF INTERPOLATION<br/>15. Introduction <br/>16. Differences<br/>17. Effect of an Error in a Tabular Value 52<br/>18. Relation between Differences and Derivatives 64<br/>19. Differences of a Polynomial.<br/>20. Newton's Formula for Forward Interpolation 66<br/>21. Newton's Formula for Backward Interpolation 59<br/>Exercises II<br/>xiv CONTENTS<br/>CHAPTER III<br/>INTERPOLATION WITH UNEQUAL INTERVALS<br/>OF THE ARGUMENT<br/>ARTICLE PAGE<br/>22. Divided Differences 66<br/>23. Tables of Divided Differences 66<br/>24. Symmetry of Divided Differences 67<br/>25. Relation between Divided Differences and Simple Differences.. 68<br/>26. Newton's General Interpolation Formula 70<br/>27. Lagrange's Interpolation Formula 74<br/>Exercises III 77<br/>CHAPTER IV<br/>CENTRAL-DIFFERENCE INTERPOLATION FORMULAS<br/>28. Introduction 79<br/>29. Gauss's Central-Difference Formulas 79<br/>30. Stirling's Interpolation Formula 82<br/>31. Bessel's Interpolation Formulas 84<br/>Exercises IV 90<br/>CHAPTER V<br/>INVERSE INTERPOLATION<br/>32. Definition 93<br/>33. By Lagrange's Formula 93<br/>34. By Successive Approximations 9J<br/>36. By Reversion of Series 96<br/>Exercises-V<br/>CHAPTER VI<br/>THE ACCURACY OF INTERPOLATION FORMULAS<br/>36. Introduction 102<br/>37. Remainder Term in Newton's Formula (I) and in Lagrange's<br/>Formula • 102<br/>38. Remainder Term in Newton's Formula (II) 104<br/>39. Remainder Term in Stirling's Formula 105<br/>40. Remainder Terms in Bessel's Formulas 106<br/>ARTICLE<br/>CONTENTS<br/>41. Recapitulation of Formulas for the Remainder<br/>42. Accuracy of Linear Interpolation from Tables<br/>Exercises ^<br/>CHAPTER VII<br/>INTERPOLATION WITH TWO INDEPENDENT VARIABLES<br/>TRIGONOMETRIC INTERPOLATION<br/>43. Introduction t i *<br/>44. Double Interpolation by a Double Application of Single Inter<br/>polation<br/>45. Double or Two-Way Differences<br/>46. A General Formula for Double Interpolation '<br/>47. Trigonometric Interpolation ^<br/>Exercises<br/>CHAPTER VII<br/>NUMERICAL DIFFERENTIATION AND INTEGRATION<br/>I, NUMERICAL DIFFERENTIATION<br/>48. Numerical Differentiation<br/>II. NUMERICAL INTEGRATION<br/>49. Introduction<br/>50. A General Quadrature Formula for Equidistant Ordinates.... 136<br/>51. Simpson's Rule<br/>52. Weddle's Rule<br/>52A. The Trapezoidal Rule<br/>53. Central-Difference Quadrature Formulas 144<br/>54. Gauss's Quadrature Formula<br/>55. Lobatto's Formula 159<br/>56. Tchebycheff's Formula<br/>57. Euler's Formula of Summation and Quadrature 165<br/>58. Caution in the Use of Quadrature Formulas 168<br/>59. Mechanical Cubature<br/>60. Prismoids and the Prismoidal Formula. 176<br/><br/> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | General Books |
| Withdrawn status | Lost status | Damaged status | Not for loan | Home library | Current library | Shelving location | Date acquired | Full call number | Accession number | Date last seen | Date last checked out | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Central Library, Sikkim University | Central Library, Sikkim University | General Book Section | 29/08/2016 | 518 SCA/N | P34932 | 14/07/2023 | 04/05/2023 | General Books |