Handbook of integration:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Boston u.a.
Jones and Bartlett
1992
|
| Schriftenreihe: | Jones and Bartlett books in mathematics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XV, 367 S. |
| ISBN: | 0867202939 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804122613961719808 |
|---|---|
| adam_text | Table of Contents
Preface ix
Introduction xi
How to Use This Book xiii
I Applications of Integration
1 Differential Equations: Integral Representations 1
2 Differential Equations: Integral Transforms 6
3 Extremal Problems 14
4 Function Representation 20
5 Geometric Applications 24
6 MIT Integration Bee 28
7 Probability 30
8 Summations: Combinatorial 31
9 Summations: Other 34
10 Zeros of Functions 40
11 Miscellaneous Applications 45
II Concepts and Definitions
12 Definitions 47
13 Integral Definitions 51
14 Caveats 58
15 Changing Order of Integration 61
16 Convergence of Integrals 64
17 Exterior Calculus 67
18 Feynman Diagrams 70
19 Finite Part of Integrals 73
20 Fractional Integration 75
21 Liouville Theory 79
22 Mean Value Theorems 83
23 Path Integrals 86
24 Principal Value Integrals 92
25 Transforms: To a Finite Interval 95
26 Transforms: Multidimensional Integrals 97
27 Transforms: Miscellaneous 103
v
vi
III Exact Analytical Methods
28 Change of Variable 109
29 Computer Aided Solution 117
30 Contour Integration 129
31 Convolution Techniques 140
32 Differentiation and Integration 142
33 Dilogarithms 145
34 Elliptic Integrals 148
35 Prullanian Integrals 157
36 Functional Equations 160
37 Integration by Parts 162
38 Line and Surface Integrals 164
39 Look Up Technique 170
40 Special Integration Techniques 181
41 Stochastic Integration 186
42 Tables of Integrals 190
IV Approximate Analytical Methods
43 Asymptotic Expansions 195
44 Asymptotic Expansions: Multiple Integrals 199
45 Continued Fractions 203
46 Integral Inequalities 205
47 Integration by Parts 215
48 Interval Analysis 218
49 Laplace s Method 221
50 Stationary Phase 226
51 Steepest Descent 230
52 Approximations: Miscellaneous 240
V Numerical Methods: Concepts
53 Introduction to Numerical Methods 243
54 Numerical Definitions 244
55 Error Analysis 246
56 Romberg Integration / Richardson Extrapolation 250
57 Software Libraries: Introduction 254
58 Software Libraries: Taxonomy 258
59 Software Libraries: Excerpts from GAMS 260
60 Testing Quadrature Rules 272
61 Truncating an Infinite Interval 275
Table of Contents vii
VI Numerical Methods: Techniques
62 Adaptive Quadrature 277
63 Clenshaw Curtis Rules 281
64 Compound Rules 283
65 Cubic Splines 285
66 Using Derivative Information 287
67 Gaussian Quadrature 289
68 Gaussian Quadrature: Generalized 292
69 Gaussian Quadrature: Kronrod s Extension 298
70 Lattice Rules 300
71 Monte Carlo Method 304
72 Number Theoretic Methods 312
73 Parallel Computer Methods 315
74 Polyhedral Symmetry Rules 316
75 Polynomial Interpolation 319
76 Product Rules 323
77 Recurrence Relations 325
78 Symbolic Methods 329
79 Tschebyscheff Rules 332
80 Wozniakowski s Method 333
81 Tables: Numerical Methods 337
82 Tables: Formulas for Integrals 340
83 Tables: Numerically Evaluated Integrals 348
Mathematical Nomenclature 351
Index 353
|
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| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:16:40Z |
| institution | BVB |
| isbn | 0867202939 |
| language | English |
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| publishDate | 1992 |
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| publisher | Jones and Bartlett |
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| series2 | Jones and Bartlett books in mathematics |
| spelling | Zwillinger, Daniel Verfasser aut Handbook of integration Daniel Zwillinger Boston u.a. Jones and Bartlett 1992 XV, 367 S. txt rdacontent n rdamedia nc rdacarrier Jones and Bartlett books in mathematics Numerische Integration (DE-588)4172168-8 gnd rswk-swf Numerische Integration (DE-588)4172168-8 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005430437&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Zwillinger, Daniel Handbook of integration Numerische Integration (DE-588)4172168-8 gnd |
| subject_GND | (DE-588)4172168-8 |
| title | Handbook of integration |
| title_auth | Handbook of integration |
| title_exact_search | Handbook of integration |
| title_full | Handbook of integration Daniel Zwillinger |
| title_fullStr | Handbook of integration Daniel Zwillinger |
| title_full_unstemmed | Handbook of integration Daniel Zwillinger |
| title_short | Handbook of integration |
| title_sort | handbook of integration |
| topic | Numerische Integration (DE-588)4172168-8 gnd |
| topic_facet | Numerische Integration |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005430437&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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