Holdings: Mathematics handbook for science and engineering

Mathematics handbook for science and engineering:

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Bibliographic Details
Main Authors:	Råde, Lennart 1925-1999 (Author), Westergren, Bertil (Author)
Format:	Book
Language:	English
Published:	Berlin [u.a.] Springer [u.a.] 1999
Edition:	4. ed.
Subjects:	Tabelle Mathematik Formelsammlung
Online Access:	Inhaltsverzeichnis
Physical Description:	546 S. Ill., graph. Darst.
ISBN:	3540655697

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MARC


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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 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
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author	Råde, Lennart 1925-1999 Westergren, Bertil
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dewey-hundreds	000 - Computer science, information, general works
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dewey-raw	51
dewey-search	51
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discipline	Mathematik
edition	4. ed.
format	Book
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indexdate	2024-07-09T18:28:41Z
institution	BVB
isbn	3540655697
language	English
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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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