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| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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230420b xxu||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9780000988638 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
518.0285536 |
| Item number |
LAM |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Lambers, James V. |
| 245 ## - TITLE STATEMENT |
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| Title |
Explorations in numerical analysis |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Name of publisher, distributor, etc |
World Scientific Publishing, |
| Place of publication, distribution, etc |
2020 |
| Date of publication, distribution, etc |
Singapore : |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
xv, 658 p. ; |
| Other physical details |
ill., |
| Dimensions |
25 cm |
| 365 ## - TRADE PRICE |
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| Price amount |
1995.00 |
| Price type code |
INR |
| Unit of pricing |
01 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references and index. |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc |
This textbook introduces advanced undergraduate and early-career graduate students to the field of numerical analysis. This field pertains to the design, analysis, and implementation of algorithms for the approximate solution of mathematical problems that arise in applications spanning science and engineering, and are not practical to solve using analytical techniques such as those taught in courses in calculus, linear algebra or differential equations. Topics covered include error analysis, computer arithmetic, solution of systems of linear equations, least squares problems, eigenvalue problems, polynomial interpolation and approximation, numerical differentiation and integration, nonlinear equations and ordinary differential equations. For each problem considered, the presentation includes the derivation of solution techniques, analysis of their efficiency, accuracy and robustness, and details of their implementation, illustrated through the MATLAB programming language. This text is suitable for a year-long sequence in numerical analysis, and can also be used for a one-semester course in numerical linear algebra |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Numerical analysis |
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| Topical term or geographic name as entry element |
Mathematical problems |
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| Topical term or geographic name as entry element |
Adam-Bashforth method |
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Allen -Cahn equation |
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| Topical term or geographic name as entry element |
Backward Euler's method |
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| Topical term or geographic name as entry element |
Brayden's method |
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| Topical term or geographic name as entry element |
Cartesian product rule |
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| Topical term or geographic name as entry element |
Courant -Fischer minimax theorem |
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| Topical term or geographic name as entry element |
Dahlquist's Barrier theorem |
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| Topical term or geographic name as entry element |
Euler's method |
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| Topical term or geographic name as entry element |
Fermat's theorem |
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| Topical term or geographic name as entry element |
Galerkin method |
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| Topical term or geographic name as entry element |
Ill-conditioned problem |
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| Topical term or geographic name as entry element |
Jacobi method |
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| Topical term or geographic name as entry element |
Least square problem |
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| Topical term or geographic name as entry element |
Miller's method |
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| Topical term or geographic name as entry element |
Power method |
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| Topical term or geographic name as entry element |
Rolle's theorem |
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| Topical term or geographic name as entry element |
Simpson's rule |
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Taylor's theorem |
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| Topical term or geographic name as entry element |
Well-condotioned problem |
| 700 ## - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
Sumner, Amber C. |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
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| Item type |
Books |