Essentials of numerical analysis with pocket calculator demonstrations:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York [u.a.]
Wiley
1982
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VI, 409 S. graph. Darst. |
| ISBN: | 0471059048 |
Staff View
MARC
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| 245 | 1 | 0 | |a Essentials of numerical analysis with pocket calculator demonstrations |c Peter Henrici |
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Record in the Search Index
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| adam_text | Contents
INTRODUCTION: THE OBJECTIVE OF
NUMERICAL MATHEMATICS 1
CHAPTER 1. COMPUTATION 4
1.1 The Discrete Number System of the Computer 4
1.2 M Is Not a Field 8
1.3 Cancellation 12
1.4 Smearing 26
1.5 Numerical Instability 33
1.6 A Model for the Propagation of Rounding Error 39
1.7 The Condition of a Problem 51
CHAPTER 2. ITERATION 64
2.1 Scalar Iteration 65
2.2 Speed of Convergence, Convergence Acceleration 79
2.3 Solution of Nonlinear Equations 90
2.4 Iteration for Systems of Equations 104
2.5 Quadratic Convergence of Vector Iteration Sequences 111
CHAPTER 3. RECURSION 125
3.1 Linear Difference Equations 125
3.2 Bernoulli s Method 136
3.3 The Quotient Difference Algorithm 153
CHAPTER 4. ELIMINATION 169
4.1 Gaussian Elimination 169
4.2 The L R Decomposition 180
4.3 The Method of Least Squares 191
4.4 The Exchange Algorithm 203
4.5 Linear Inequalities; Optimization 210
V
vi CONTENTS
CHAPTER 5. APPROXIMATION 222
5.1 Two Theorems from Classical Analysis 223
5.2 The Interpolating Polynomial 227
5.3 The Error of the Interpolating Polynomial 231
5.4 Numerical Evaluation of the Interpolating Polynomial 236
5.5 The Condition of Polynomial Interpolation 245
5.6 Hermite Interpolation 252
5.7 Inverse Interpolation 257
5.8 Spline Interpolation 260
5.9 Construction of the Spline Interpolant 268
CHAPTER 6. INTEGRATION 275
6.1 Definite Integrals: The Problem Posed 275
6.2 The Euler Maclaurin Sum Formula 282
6.3 The Romberg Algorithm 289
6.4 Initial Value Problems for Ordinary Differential
Equations: One Step Methods 300
6.5 Systems of Differential Equations 311
6.6 Trapezoidal Rule; Stability 316
6.7 Securing Accuracy 326
CHAPTER 7. PERIODICITY 332
7.1 Trigonometric Interpolation 333
7.2 A Barycentric Formula 340
7.3 Fourier Series 349
7.4 The Error of Trigonometric Interpolation 362
7.5 The Existence of a Fast Fourier Transform 367
7.6 An Implementation of the Fast Fourier Transform 372
7.7 Convolution 380
7.8 Time Series 391
BIBLIOGRAPHY 399
INDEX 403
|
| any_adam_object | 1 |
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| ctrlnum | (OCoLC)7572937 (DE-599)BVBBV002140231 |
| dewey-full | 519.4 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.4 |
| dewey-search | 519.4 |
| dewey-sort | 3519.4 |
| dewey-tens | 510 - Mathematics |
| discipline | Informatik Mathematik |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T15:40:59Z |
| institution | BVB |
| isbn | 0471059048 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001403615 |
| oclc_num | 7572937 |
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| physical | VI, 409 S. graph. Darst. |
| psigel | TUB-www |
| publishDate | 1982 |
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| publisher | Wiley |
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| spelling | Henrici, Peter 1923-1987 Verfasser (DE-588)104798947 aut Essentials of numerical analysis with pocket calculator demonstrations Peter Henrici New York [u.a.] Wiley 1982 VI, 409 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Datenverarbeitung Numerical analysis Data processing Programmable calculators Numerische Mathematik (DE-588)4042805-9 gnd rswk-swf Taschenrechner (DE-588)4059093-8 gnd rswk-swf Numerische Mathematik (DE-588)4042805-9 s DE-604 Taschenrechner (DE-588)4059093-8 s HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001403615&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Henrici, Peter 1923-1987 Essentials of numerical analysis with pocket calculator demonstrations Datenverarbeitung Numerical analysis Data processing Programmable calculators Numerische Mathematik (DE-588)4042805-9 gnd Taschenrechner (DE-588)4059093-8 gnd |
| subject_GND | (DE-588)4042805-9 (DE-588)4059093-8 |
| title | Essentials of numerical analysis with pocket calculator demonstrations |
| title_auth | Essentials of numerical analysis with pocket calculator demonstrations |
| title_exact_search | Essentials of numerical analysis with pocket calculator demonstrations |
| title_full | Essentials of numerical analysis with pocket calculator demonstrations Peter Henrici |
| title_fullStr | Essentials of numerical analysis with pocket calculator demonstrations Peter Henrici |
| title_full_unstemmed | Essentials of numerical analysis with pocket calculator demonstrations Peter Henrici |
| title_short | Essentials of numerical analysis with pocket calculator demonstrations |
| title_sort | essentials of numerical analysis with pocket calculator demonstrations |
| topic | Datenverarbeitung Numerical analysis Data processing Programmable calculators Numerische Mathematik (DE-588)4042805-9 gnd Taschenrechner (DE-588)4059093-8 gnd |
| topic_facet | Datenverarbeitung Numerical analysis Data processing Programmable calculators Numerische Mathematik Taschenrechner |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001403615&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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