Mathematics handbook for science and engineering:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin
Springer u.a.
2004
|
| Edition: | 5. ed. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 562 S. graph. Darst. |
| ISBN: | 3540211411 |
Staff View
MARC
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| 245 | 1 | 0 | |a Mathematics handbook for science and engineering |c Lennart Rade ; Bertil Westergren |
| 250 | |a 5. ed. | ||
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Record in the Search Index
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|---|---|
| adam_text | LENNART RADE * BERTIL WESTERGREN MATHEMATICS HANDBOOK FOR SCIENCE AND
ENGINEERING FIFTH 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 3.7 SOLIDS 71 SPHERICAL TRIGONOMETRY 75 GEOMETRICAL VECTORS
77 PLANE ANALYTIC GEOMETRY 79 ANALYTIC GEOMETRY IN SPACE 83 FRACTALS 87
4 LINEAR ALGEBRA 90 4.1 4.2 4.3 4.4 4.5 4.6 4.7 4.8 4.9 4.10 MATRICES 90
DETERMINANTS 93 SYSTEMS OF LINEAR EQUATIONS 95 LINEAR COORDINATE
TRANSFORMATIONS EIGENVALUES. DIAGONALIZATION 98 QUADRATIC FORMS 103
LINEAR SPACES 106 LINEAR MAPPINGS 108 TENSORS 114 COMPLEX MATRICES 114
97 5 THE ELEMENTARY FUNCTIONS 118 5.1 A SURVEY OF THE ELEMENTARY
FUNCTIONS 118 5.2 POLYNOMIALS AND RATIONAL FUNCTIONS 119 5.3
LOGARITHMIC, EXPONENTIAL, POWER AND HYPERBOLIC FUNCTIONS 121 5.4
TRIGONOMETRIC AND INVERSE TRIGONOMETRIC FUNCTIONS 125 6 DIFFERENTIAL
CALCULUS (ONE VARIABLE) 132 6.1 SOME BASIC CONCEPTS 132 6.2 LIMITS AND
CONTINUITY 133 6.3 DERIVATIVES 136 6.4 MONOTONICITY. EXTREMES OF
FUNCTIONS 139 7 INTEGRAL CALCULUS 141 7.1 INDEFINITE INTEGRALS 141 7.2
DEFINITE INTEGRALS 146 7.3 APPLICATIONS OF DIFFERENTIAL AND INTEGRAL
CALCULUS 148 7.4 TABLE OF INDEFINITE INTEGRAL 153 7.5 TABLES OF DEFINITE
INTEGRALS 178 8 SEQUENCES AND SERIES 183 8.1 SEQUENCES OF NUMBERS 183
8.2 SEQUENCES OF FUNCTIONS 184 8.3 SERIES OF CONSTANT TERMS 185 8.4
SERIES OF FUNCTIONS 187 8.5 TAYLOR SERIES 189 8.6 SPECIAL SUMS AND
SERIES 192 9 ORDINARY DIFFERENTIAL EQUATIONS (ODE) 200 9.1 DIFFERENTIAL
EQUATIONS OF THE FIRST ORDER 200 9.2 DIFFERENTIAL EQUATIONS OF THE
SECOND ORDER 202 9.3 LINEAR DIFFERENTIAL EQUATIONS 205 9.4 AUTONOMOUS
SYSTEMS 213 9.5 GENERAL CONCEPTS AND RESULTS 216 9.6 LINEAR DIFFERENCE
EQUATIONS 218 10 MULTIDIMENSIONAL CALCULUS 221 10.1 THE SPACE R N 221
10.2 SURFACES. TANGENT PLANES 222 10.3 LIMITS AND CONTINUITY 223 10.4
PARTIAL DERIVATIVES 224 10.5 EXTREMES OF FUNCTIONS 227 10.6 FUNCTIONS/:
R - R M (R N -»R N ) 229 10.7 DOUBLE INTEGRALS 231 10.8 TRIPLE
INTEGRALS 234 10.9 PARTIAL DIFFERENTIAL EQUATIONS 239 11 VECTOR ANALYSIS
246 11.1 CURVES 246 11.2 VECTOR FIELDS 248 11.3 LINE INTEGRALS 253 11.4
SURFACE INTEGRALS 256 12 ORTHOGONAL SERIES AND SPECIAL FUNCTIONS 259
12.1 ORTHOGONAL SYSTEMS 259 12.2 ORTHOGONAL POLYNOMIALS 263 12.3
BERNOULLI AND EULER POLYNOMIALS 269 12.4 BESSEL FUNCTIONS 270 12.5
FUNCTIONS DEFINED BY TRANSCENDENTAL INTEGRALS 287 12.6 STEP AND IMPULSE
FUNCTIONS 297 12.7 FUNCTIONAL ANALYSIS 298 12.8 LEBESGUE INTEGRALS 303
12.9 GENERALIZED FUNCTIONS (DISTRIBUTIONS) 308 13 TRANSFORMS 310 13.1
TRIGONOMETRIC FOURIER SERIES 310 13.2 FOURIER TRANSFORMS 315 13.3
DISCRETE FOURIER TRANSFORMS 325 13.4 THE Z-TRANSFORM 327 13.5 LAPLACE
TRANSFORMS 330 13.6 DYNAMICAL SYSTEMS (FILTERS) 338 13.7 HANKEL AND
HILBERT TRANSFORMS 341 13.8 WAVELETS 344 14 COMPLEX ANALYSIS 349 14.1
FUNCTIONS OF A COMPLEX VARIABLE 349 14.2 COMPLEX INTEGRATION 352 14.3
POWER SERIES EXPANSIONS 354 14.4 ZEROS AND SINGULARITIES 355 14.5
CONFORMAL MAPPINGS 356 15 OPTIMIZATION 365 15.1 CALCULUS OF VARIATIONS
365 15.2 LINEAR OPTIMIZATION 371 15.3 INTEGER AND COMBINATORIAL
OPTIMIZATION 379 15.4 NONLINEAR OPTIMIZATION 383 15.5 DYNAMIC
OPTIMIZATION 389 16 NUMERICAL ANALYSIS 391 16.1 APPROXIMATIONS AND
ERRORS 391 / 16.2 NUMERICAL SOLUTION OF EQUATIONS 392 16.3 PERTURBATION
ANALYSIS 397 16.4 INTERPOLATION 398 16.5 NUMERICAL INTEGRATION AND
DIFFERENTIATION 404 16.6 NUMERICAL SOLUTIONS OF DIFFERENTIAL EQUATIONS
412 16.7 NUMERICAL SUMMATION 421 17 PROBABILITY THEORY 424 17.1 BASIC
PROBABILITY THEORY 424 17.2 PROBABILITY DISTRIBUTIONS 434 17.3
STOCHASTIC PROCESSES 439 17.4 ALGORITHMS FOR CALCULATION OF PROBABILITY
DISTRIBUTIONS 443 17.5 SIMULATION 445 17.6 QUEUEING SYSTEMS 449 17.7
RELIABILITY 452 17.8 TABLES 459 18 STATISTICS 479 18.1 DESCRIPTIVE
STATISTICS 479 18.2 POINT ESTIMATION 488 18.3 CONFIDENCE INTERVALS 491
18.4 TABLES FOR CONFIDENCE INTERVALS 495 18.5 TESTS OF SIGNIFICANCE 501
18.6 LINEAR MODELS 507 18.7 DISTRIBUTION-FREE METHODS 512 18.8
STATISTICAL QUALITY CONTROL 518 18.9 FACTORIAL EXPERIMENTS 522 18.10
ANALYSIS OF LIFE TIME (FAILURE TIME) DATA 525 18.11 STATISTICAL GLOSSARY
526 19 MISCELLANEOUS 530 GLOSSARY OF FUNCTIONS 544 GLOSSARY OF SYMBOLS
545 INDEX 547
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| any_adam_object | 1 |
| author | Rade, Lennart Westergren, Bertil |
| author_facet | Rade, Lennart Westergren, Bertil |
| author_role | aut aut |
| author_sort | Rade, Lennart |
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| bvnumber | BV017889274 |
| callnumber-first | Q - Science |
| callnumber-label | QA41 |
| callnumber-raw | QA41 |
| callnumber-search | QA41 |
| callnumber-sort | QA 241 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SH 500 |
| ctrlnum | (OCoLC)55018445 (DE-599)BVBBV017889274 |
| dewey-full | 510/.212 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510/.212 |
| dewey-search | 510/.212 |
| dewey-sort | 3510 3212 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 5. ed. |
| format | Book |
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| isbn | 3540211411 |
| language | English |
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| spelling | Rade, Lennart Verfasser aut Mathematics handbook for science and engineering Lennart Rade ; Bertil Westergren 5. ed. Berlin Springer u.a. 2004 562 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mathematik Mathematics Formulae Mathematics Handbooks, manuals, etc Mathematics Tables Mathematik (DE-588)4037944-9 gnd rswk-swf (DE-588)4155008-0 Formelsammlung gnd-content (DE-588)4184303-4 Tabelle gnd-content Mathematik (DE-588)4037944-9 s 1\p DE-604 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=010729487&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Rade, Lennart Westergren, Bertil Mathematics handbook for science and engineering Mathematik Mathematics Formulae Mathematics Handbooks, manuals, etc Mathematics Tables Mathematik (DE-588)4037944-9 gnd |
| subject_GND | (DE-588)4037944-9 (DE-588)4155008-0 (DE-588)4184303-4 |
| 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 Rade ; Bertil Westergren |
| title_fullStr | Mathematics handbook for science and engineering Lennart Rade ; Bertil Westergren |
| title_full_unstemmed | Mathematics handbook for science and engineering Lennart Rade ; Bertil Westergren |
| title_short | Mathematics handbook for science and engineering |
| title_sort | mathematics handbook for science and engineering |
| topic | Mathematik Mathematics Formulae Mathematics Handbooks, manuals, etc Mathematics Tables Mathematik (DE-588)4037944-9 gnd |
| topic_facet | Mathematik Mathematics Formulae Mathematics Handbooks, manuals, etc Mathematics Tables Formelsammlung Tabelle |
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