Introduction to numerical analysis (Record no. 14062)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03668nam a2200181 a 4500 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9780486653631 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 0486653633 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 515 |
| Item number | HIL |
| 100 ## - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Hildebrand, F.B. |
| 245 ## - TITLE STATEMENT | |
| Title | Introduction to numerical analysis |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication | New York : |
| Name of publisher | Dover Publications, |
| Year of publication | 1987 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | xiii, 669 pages ; |
| 500 ## - GENERAL NOTE | |
| General note | Includes Index |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Cover; Title Page; Copyright Page; Contents; Preface; 1.1 Numerical Analysis; 1.2 Approximation; 1.3 Errors; 1.4 Significant Figures; 1.5 Determinacy of Functions. Error Control; 1.6 Machine Errors; 1.7 Random Errors; 1.8 Recursive Computation; 1.9 Mathematical Preliminaries; 1.10 Supplementary References; Problems; 1 Introduction; 2 Interpolation with Divided Differences; 2.1 Introduction; 2.2 Linear Interpolation; 2.3 Divided Differences; 2.4 Second-Degree Interpolation; 2.5 Newton's Fundamental Formula; 2.6 Error Formulas; 2.7 Iterated Interpolation; 2.8 Inverse Interpolation. 2.9 Supplementary ReferencesProblems; 3 Lagrangian Methods; 3.1 Introduction; 3.2 Lagrange's Interpolation Formula; 3.3 Numerical Differentiation and Integration; 3.4 Uniform-spacing Interpolation; 3.5 Newton-Cotes Integration Formulas; 3.6 Composite Integration Formulas; 3.7 Use of Integration Formulas; 3.8 Richardson Extrapolation. Romberg Integration; 3.9 Asymptotic Behavior of Newton-Cotes Formulas; 3.10 Weighting Functions. Filon Integration; 3.11 Differentiation Formulas; 3.12 Supplementary References; Problems; 4 Finite-Difference Interpolation; 4.1 Introduction. 4.2 Difference Notations4.3 Newton Forward- and Backward-difference Formulas; 4.4 Gaussian Formulas; 4.5 Stirling's Formula; 4.6 Bessel's Formula; 4.7 Everett's Formulas; 4.8 Use of Interpolation Formulas; 4.9 Propagation of Inherent Errors; 4.10 Throwback Techniques; 4.11 Interpolation Series; 4.12 Tables of Interpolation Coefficients; 4.13 Supplementary References; Problems; 5 Operations with Finite Differences; 5.1 Introduction; 5.2 Difference Operators; 5.3 Differentiation Formulas; 5.4 Newtonian Integration Formulas; 5.5 Newtonian Formulas for Repeated Integration. 5.6 Central-Difference Integration Formulas5.7 Subtabulation; 5.8 Summation and Integration. The Euler-Maclaurin Sum Formula; 5.9 Approximate Summation; 5.10 Error Terms in Integration Formulas; 5.11 Other Representations of Error Terms; 5.12 Supplementary References; Problems; 6 Numerical Solution of Differential Equations; 6.1 Introduction; 6.2 Formulas of Open Type; 6.3 Formulas of Closed Type; 6.4 Start of Solution; 6.5 Methods Based on Open-Type Formulas; 6.6 Methods Based on Closed-Type Formulas. Prediction-Correction Methods; 6.7 The Special Case F = Ay; 6.8 Propagated-Error Bounds. 6.9 Application to Equations of Higher Order. Sets of Equations6.10 Special Second-order Equations; 6.11 Change of Interval; 6.12 Use of Higher Derivatives; 6.13 A Simple Runge-Kutta Method; 6.14 Runge-Kutta Methods of Higher Order; 6.15 Boundary-Value Problems; 6.16 Linear Characteristic-value Problems; 6.17 Selection of a Method; 6.18 Supplementary References; Problems; 7 Least-Squares Polynomial Approximation; 7.1 Introduction; 7.2 The Principle of Least Squares; 7.3 Least-Squares Approximation over Discrete Sets of Points; 7.4 Error Estimation; 7.5 Orthogonal Polynomials. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | <br/>Well-known, respected introduction, updated to integrate concepts and procedures associated with computers. Computation, approximation, interpolation, numerical differentiation and integration, smoothing of data, other topics in lucid presentation. Includes 150 additional problems in this edition. Bibliography. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Numerical analysis. |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | Reference Books |
| Collection code | Home library | Current library | Shelving location | Date acquired | Source of acquisition | Cost, normal purchase price | Full call number | Accession Number | Koha item type |
|---|---|---|---|---|---|---|---|---|---|
| Reference | Main Library | Main Library | Reference | 26/09/2005 | Purchased | 3395.00 | 515 HIL | 009936 | Reference Books |