Mathematics handbook for science and engineering:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer [u.a.]
1999
|
| Ausgabe: | 4. ed. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 546 S. Ill., graph. Darst. |
| ISBN: | 3540655697 |
Internformat
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| 245 | 1 | 0 | |a Mathematics handbook for science and engineering |c Lennart Råde ; Bertil Westergren |
| 250 | |a 4. ed. | ||
| 264 | 1 | |a Berlin [u.a.] |b Springer [u.a.] |c 1999 | |
| 300 | |a 546 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
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Datensatz im Suchindex
| _version_ | 1804127144590180352 |
|---|---|
| adam_text | LENNART RADE * BERTIL WESTERGREN MATHEMATICS HANDBOOK FOR SCIENCE AND
ENGINEERING FOURTH EDITION SPRINGER ^ STUDENTLITTERATUR CONTENTS PREFACE
7 1 FUNDAMENTALS. DISCRETE MATHEMATICS 9 1.1 LOGIC 9 1.2 SET THEORY 14
1.3 BINARY RELATIONS AND FUNCTIONS 17 1.4 ALGEBRAIC STRUCTURES 21 1.5
GRAPH THEORY 33 1.6 CODES 37 2 ALGEBRA 43 2.1 BASIC ALGEBRA OF REAL
NUMBERS 43 2.2 NUMBER THEORY 49 2.3 COMPLEX NUMBERS 61 2.4 ALGEBRAIC
EQUATIONS 63 3 GEOMETRY AND TRIGONOMETRY 66 3.1 PLANE FIGURES 66 3.2 3.3
3.4 3.5 3.6 SOLIDS 71 SPHERICAL TRIGONOMETRY 75 GEOMETRICAL VECTORS 77
PLANE ANALYTIC GEOMETRY 79 ANALYTIC GEOMETRY IN SPACE 83 LINEAR ALGEBRA
87 4.1 4.2 4.3 4.4 4.5 4.6 4.7 4.8 4.9 4.10 MATRICES 87 DETERMINANTS 90
SYSTEMS OF LINEAR EQUATIONS 92 LINEAR COORDINATE TRANSFORMATIONS
EIGENVALUES. DIAGONALIZATION 95 QUADRATIC FORMS 100 LINEAR SPACES 103
LINEAR MAPPINGS 105 TENSORS 110 COMPLEX MATRICES 111 94 THE ELEMENTARY
FUNCTIONS 115 5.1 A SURVEY OF THE ELEMENTARY FUNCTIONS 115 5.2
POLYNOMIALS AND RATIONAL FUNCTIONS 116 5.3 LOGARITHMIC, EXPONENTIAL,
POWER AND HYPERBOLIC FUNCTIONS 118 5.4 TRIGONOMETRIC AND INVERSE
TRIGONOMETRIC FUNCTIONS 122 6 DIFFERENTIAL CALCULUS (ONE VARIABLE) 129
6.1 SOME BASIC CONCEPTS 129 6.2 LIMITS AND CONTINUITY 130 6.3
DERIVATIVES 132 6.4 MONOTONICITY. EXTREMES OF FUNCTIONS 135 7 INTEGRAL
CALCULUS 137 7.1 INDEFINITE INTEGRALS 137 7.2 DEFINITE INTEGRALS 142 7.3
APPLICATIONS OF DIFFERENTIAL AND INTEGRAL CALCULUS 144 7.4 TABLES OF
INDEFINITE INTEGRALS 149 7.5 TABLES OF DEFINITE INTEGRALS 174 8
SEQUENCES AND SERIES 179 8.1 SEQUENCES OF NUMBERS^ 179 8.2 SEQUENCES OF
FUNCTIONS 180 8.3 SERIES OF CONSTANT TERMS 181 8.4 SERIES OF FUNCTIONS
183 8.5 TAYLOR SERIES 185 8.6 SPECIAL SUMS AND SERIES 188 9 ORDINARY
DIFFERENTIAL EQUATIONS (ODE) 196 9.1 DIFFERENTIAL EQUATIONS OF THE FIRST
ORDER 196 9.2 DIFFERENTIAL EQUATIONS OF THE SECOND ORDER 198 9.3 LINEAR
DIFFERENTIAL EQUATIONS 201 9.4 AUTONOMOUS SYSTEMS 209 9.5 GENERAL
CONCEPTS AND RESULTS 212 9.6 LINEAR DIFFERENCE EQUATIONS 214 10
MULTIDIMENSIONAL CALCULUS 217 10.1 THE SPACE R 217 10.2 SURFACES.
TANGENT PLANES 218 10.3 LIMITS AND CONTINUITY 219 10.4 PARTIAL
DERIVATIVES 220 10.5 EXTREMES OF FUNCTIONS 223 10.6 FUNCTIONS/: R -» R
RA (R -»R ) 225 10.7 DOUBLE INTEGRALS 227 10.8 TRIPLE INTEGRALS 230
10.9 PARTIAL DIFFERENTIAL EQUATIONS 235 11 VECTOR ANALYSIS 242 11.1
CURVES 242 11.2 VECTOR FIELDS 244 11.3 LINE INTEGRALS 249 11.4 SURFACE
INTEGRALS 252 12 ORTHOGONAL SERIES AND SPECIAL FUNCTIONS 255 12.1
ORTHOGONAL SYSTEMS 255 12.2 ORTHOGONAL POLYNOMIALS 259 12.3 BERNOULLI
AND EULER POLYNOMIALS 265 12.4 BESSEL FUNCTIONS 266 12.5 FUNCTIONS
DEFINED BY TRANSCENDENTAL INTEGRALS 283 12.6 STEP AND IMPULSE FUNCTIONS
293 12.7 FUNCTIONAL ANALYSIS 294 12.8 LEBESGUE INTEGRALS 299 12.9
GENERALIZED FUNCTIONS (DISTRIBUTIONS) 304 13 TRANSFORMS 306 13.1
TRIGONOMETRIC FOURIER SERIES 306 13.2 FOURIER TRANSFORMS 311 13.3
DISCRETE FOURIER TRANSFORMS 320 13.4 THE Z-TRANSFORM 322 13.5 LAPLACE
TRANSFORMS 325 13.6 DYNAMICAL SYSTEMS (FILTERS) 333 13.7 HANKEL AND
HILBERT TRANSFORMS 336 13.8 WAVELETS 339 14 COMPLEX ANALYSIS 344 14.1
FUNCTIONS OF A COMPLEX VARIABLE 344 14.2 COMPLEX INTEGRATION 347 14.3
POWER SERIES EXPANSIONS 5 349 14.4 ZEROS AND SINGULARITIES 350 14.5
CONFORMAL MAPPINGS 351 15 OPTIMIZATION 360 15.1 CALCULUS OF VARIATIONS
360 15.2 LINEAR OPTIMIZATION 366 15.3 NON-LINEAR OPTIMIZATION 370 15.4
DYNAMIC OPTIMIZATION 372 16 NUMERICAL ANALYSIS AND PROGRAMMING 374 16.1
APPROXIMATIONS AND ERRORS 374 16.2 NUMERICAL SOLUTION OF EQUATIONS 375
16.3 INTERPOLATION 381 16.4 NUMERICAL INTEGRATION AND DIFFERENTIATION
387 16.5 NUMERICAL SOLUTIONS OF DIFFERENTIAL EQUATIONS 395 16.6
NUMERICAL SUMMATION 404 17 PROBABILITY THEORY 407 17.1 BASIC PROBABILITY
THEORY 407 17.2 PROBABILITY DISTRIBUTIONS 417 17.3 STOCHASTIC PROCESSES
422 17.4 ALGORITHMS FOR CALCULATION OF PROBABILITY DISTRIBUTIONS 426
17.5 SIMULATION 428 17.6 QUEUEING SYSTEMS 432 17.7 RELIABILITY 435 17.8
TABLES 442 18 STATISTICS 462 18.1 DESCRIPTIVE STATISTICS 462 18.2 POINT
ESTIMATION 471 18.3 CONFIDENCE INTERVALS 474 18.4 TABLES FOR CONFIDENCE
INTERVALS 478 18.5 TESTS OF SIGNIFICANCE 484 18.6 LINEAR MODELS 490 18.7
DISTRIBUTION-FREE METHODS 495 18.8 STATISTICAL QUALITY CONTROL 501 18.9
FACTORIAL EXPERIMENTS 505 18.10 ANALYSIS OF LIFE TIME (FAILURE TIME)
DATA 508 18.11 STATISTICAL GLOSSARY 509 19 MISCELLANEOUS 513 GLOSSARY OF
FUNCTIONS 527 GLOSSARY OF SYMBOLS 528 INDEX 531
|
| any_adam_object | 1 |
| author | Råde, Lennart 1925-1999 Westergren, Bertil |
| author_GND | (DE-588)109085647 |
| author_facet | Råde, Lennart 1925-1999 Westergren, Bertil |
| author_role | aut aut |
| author_sort | Råde, Lennart 1925-1999 |
| author_variant | l r lr b w bw |
| building | Verbundindex |
| bvnumber | BV012498264 |
| classification_rvk | SH 500 |
| classification_tum | MAT 001k |
| ctrlnum | (OCoLC)264093429 (DE-599)BVBBV012498264 |
| dewey-full | 51 |
| dewey-hundreds | 000 - Computer science, information, general works |
| dewey-ones | 051 - General serial publications in American English |
| dewey-raw | 51 |
| dewey-search | 51 |
| dewey-sort | 251 |
| dewey-tens | 050 - General serial publications |
| discipline | Mathematik |
| edition | 4. ed. |
| format | Book |
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| genre_facet | Formelsammlung |
| id | DE-604.BV012498264 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:28:41Z |
| institution | BVB |
| isbn | 3540655697 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008485453 |
| oclc_num | 264093429 |
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| owner_facet | DE-92 DE-703 DE-355 DE-BY-UBR DE-20 DE-1102 DE-859 DE-824 DE-573 DE-91G DE-BY-TUM DE-29 DE-526 DE-83 |
| physical | 546 S. Ill., graph. Darst. |
| publishDate | 1999 |
| publishDateSearch | 1999 |
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| publisher | Springer [u.a.] |
| record_format | marc |
| spelling | Råde, Lennart 1925-1999 Verfasser (DE-588)109085647 aut Mathematics handbook for science and engineering Lennart Råde ; Bertil Westergren 4. ed. Berlin [u.a.] Springer [u.a.] 1999 546 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Tabelle (DE-588)4184303-4 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf (DE-588)4155008-0 Formelsammlung gnd-content Mathematik (DE-588)4037944-9 s DE-604 Tabelle (DE-588)4184303-4 s Westergren, Bertil Verfasser aut HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008485453&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Råde, Lennart 1925-1999 Westergren, Bertil Mathematics handbook for science and engineering Tabelle (DE-588)4184303-4 gnd Mathematik (DE-588)4037944-9 gnd |
| subject_GND | (DE-588)4184303-4 (DE-588)4037944-9 (DE-588)4155008-0 |
| title | Mathematics handbook for science and engineering |
| title_auth | Mathematics handbook for science and engineering |
| title_exact_search | Mathematics handbook for science and engineering |
| title_full | Mathematics handbook for science and engineering Lennart Råde ; Bertil Westergren |
| title_fullStr | Mathematics handbook for science and engineering Lennart Råde ; Bertil Westergren |
| title_full_unstemmed | Mathematics handbook for science and engineering Lennart Råde ; Bertil Westergren |
| title_short | Mathematics handbook for science and engineering |
| title_sort | mathematics handbook for science and engineering |
| topic | Tabelle (DE-588)4184303-4 gnd Mathematik (DE-588)4037944-9 gnd |
| topic_facet | Tabelle Mathematik Formelsammlung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008485453&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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