Mathematical handbook for electrical engineers:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Boston [u.a.]
Artech House
2005
|
| Schriftenreihe: | Artech House technology management and professional development library
|
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013152518&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Beschreibung: | Includes bibliographical references and index |
| Umfang: | XVIII, 495 S. graph. Darst. |
| ISBN: | 1580537790 |
Internformat
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| 020 | |a 1580537790 |c alk. paper |9 1-580-53779-0 | ||
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| 100 | 1 | |a Leonov, Sergej A. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Mathematical handbook for electrical engineers |c Sergey A. Leonov ; Alexander I. Leonov |
| 264 | 1 | |a Boston [u.a.] |b Artech House |c 2005 | |
| 300 | |a XVIII, 495 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Artech House technology management and professional development library | |
| 500 | |a Includes bibliographical references and index | ||
| 520 | 1 | |a "When trying to solve a complex, seemingly unsolvable problem, electrical engineers sometimes need to start at the very beginning of the problem. To arrive at a solution, they have to go back to the basics and examine the mathematical rules, laws, and formulas that are at the root of every electrical engineering problem. Written by experienced engineers, Mathematical Handbook for Electrical Engineers is an invaluable resource for professionals in the field, and also serves as a time-saving reference for students."--BOOK JACKET. | |
| 650 | 4 | |a Mathematik | |
| 650 | 4 | |a Electrical engineering |x Mathematics |v Handbooks, manuals, etc | |
| 650 | 4 | |a Electrical engineering |x Mathematics |v Problems, exercises, etc | |
| 650 | 4 | |a Engineering mathematics |v Handbooks, manuals, etc | |
| 650 | 0 | 7 | |a Mathematik |0 (DE-588)4037944-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Elektrotechniker |0 (DE-588)4131091-3 |2 gnd |9 rswk-swf |
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| 689 | 0 | 1 | |a Mathematik |0 (DE-588)4037944-9 |D s |
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| 700 | 1 | |a Leonov, Aleksandr I. |e Sonstige |4 oth | |
| 856 | 4 | 2 | |m GBV Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013152518&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-013152518 | |
Datensatz im Suchindex
| _version_ | 1819297439665881088 |
|---|---|
| adam_text | MATHEMATICAL HANDBOOK FOR ELECTRICAL ENGINEERS SERGEY A. LEONOV
ALEXANDER I. LEONOV ARTECH HOUSE BOSTON|LONDON ARTECHHOUSE.COM CONTENTS
PREFACE XVII PARTI FUNDAMENTALS OF ENGINEERING MATHEMATICS CHAPTER 1
ELEMENTARY MATHEMATICS 3 1.1 FUNDAMENTALS OF ALGEBRA 3 3 3 4 5 6 7 7 7 G
8 9 1.2 FUNCTIONS 10 1.2.1 DEFINITIONS 10 1.2.2 ALGEBRAIC FUNCTIONS 11
1.2.3 TRANSCENDENTAL FUNCTIONS 13 1.2.4 EXPONENTIAL AND LOGARITHMIC
FUNCTIONS 13 1.2.5 DECIBELS 14 1.2.6 HYPERBOLIC AND INVERSE HYPERBOLIC
FUNCTIONS 15 1.2.7 PIECEWISE DEFINED FUNCTIONS 16 1.3 EQUATIONS 17 1.3.1
DEFINITIONS 17 1.3.2 HOW TO SOLVE A RATIONAL LINEAR EQUATION 18 1.3.3
HOW TO SOLVE A RATIONAL QUADRATIC EQUATION 18 1.1.1 1.1.2 1.1.3 1.1.4
1.1.5 1.1.6 1.1.7 1.1.8 1.1.9 1.1.10 1.1.11 NUMBERS FUNDAMENTAL RULES OF
ARITHMETIC FRACTIONS AND PERCENTS MODULUS AND INTERVALS A MONOMIAL A
POLYNOMIAL THE GREATEST COMMON DIVISOR THE LEAST COMMON MULTIPLE THE
ALGEBRAIC FRACTION A PROPORTION A ROOT V VI MATHEMATICAL HANDBOOK FOR
ELECTRICAL ENGINEERS 1.3.4 HOW TO SOLVE A RATIONAL CUBIC EQUATION 1.3.5
HOW TO SOLVE THE RATIONAL EQUATIONS OF HIGHER ORDERS 1.3.6 HOW TO SOLVE
IRRATIONAL EQUATIONS 1.3.7 HOW TO SOLVE TRANSCENDENTAL EQUATIONS 1.3.8
HOW TO SOLVE A SET OF LINEAR EQUATIONS 1.4 THEORY OF COMBINATIONS 1.4.1
FACTORIAL 1.4.2 A BINOMIAL COEFFICIENT 1.4.3 A POLYNOMIAL COEFFICIENT
1.4.4 NEWTON S BINOMIAL 1.4.5 POLYNOMIAL FORMULA 1.4.6 COMMUTATION 1.4.7
OCCUPANCY 1.4.8 COMBINATION 1.5 PLANE GEOMETRY 1.5.1 TRIANGLE 1.5.2
PARALLELOGRAM 1.5.3 RECTANGLE 1.5.4 SQUARE 1.5.5 RHOMBUS 1.5.6 TRAPEZOID
1.5.7 QUADRANGLE 1.5.8 POLYGON 1.5.9 CIRCLE 1.6 SOLID GEOMETRY 1.6.1
ANGLES 1.6.2 POLYHEDRON 1.6.3 PRISM 1.6.4 PARALLELEPIPED 1.6.5 CUBE
1.6.6 PYRAMID 1.6.7 CYLINDER 1.6.8 CONE 1.6.9 SPHERE 1.7 PLANAR
TRIGONOMETRY 1.7.1 ANGLES 1.7.2 TRIGONOMETRIC FUNCTIONS 1.7.3 HOW TO
SOLVE TRIANGLES 1.7.4 INVERSE TRIGONOMETRIC FUNCTIONS 19 20 22 23 25 26
26 26 27 28 29 29 30 30 30 30 32 32 32 33 33 33 33 34 34 34 35 36 36 37
37 37 38 39 39 39 39 40 43 1.8 SOLID TRIGONOMETRY 1.8.1 HOW TO SOLVE
GENERIC SPHERICAL TRIANGLES 1.8.2 HOW TO SOLVE THE RIGHT SPHERICAL
TRIANGLES 1.9 COORDINATES 1.9.1 TWO-DIMENSIONAL (2D) COORDINATES 1.9.2
THREE-DIMENSIONAL (3D) COORDINATES 1.10 PLANAR ANALYTIC GEOMETRY 1.10.1
THE DISTANCE BETWEEN TWO POINTS 1.10.2 THE EQUATION OF A STRAIGHT LINE
1.10.3 THE EQUATION OF AN ELLIPSE 1.10.4 THE EQUATION OF A CIRCLE 1.10.5
THE EQUATION OF A HYPERBOLA 1.10.6 THE EQUATION OF A PARABOLA 1.11 SOLID
ANALYTIC GEOMETRY 1.11.1 THE DISTANCE BETWEEN TWO POINTS 1.11.2 THE
EQUATION OF A PLANE 1.11.3 THE EQUATION OF A STRAIGHT LINE 1.11.4 THE
EQUATION OF AN ELLIPSOID AND SPHERE 1.11.5 THE EQUATION OF A HYPERBOLOID
1.11.6 THE EQUATION OF A CONE 1.11.7 THE EQUATION OF A PARABOLOID 1.11.8
THE EQUATION OF A CYLINDER REFERENCES SELECTED BIBLIOGRAPHY CHAPTER 2
SEQUENCES, SERIES, AND LIMITS 2.1 DEFINITIONS 2.2 FINITE SEQUENCES AND
SERIES 2.3 A LIMIT OF A SEQUENCE 2.4 INFINITE SERIES 2.5 LIMIT OF A
FUNCTION 2.6 INFINITESIMAL AND NONTERMINATING VALUES 2.7 BASIC
PROPERTIES OF A LIMIT 2.8 TWO IMPORTANT LIMITS 2.9 CONTINUOUS AND
DISCONTINUOUS FUNCTIONS 2.10 PROPERTIES OF THE CONTINUOUS FUNCTIONS
REFERENCE SELECTED BIBLIOGRAPHY VIII MATHEMATICAL HANDBOOK FOR
ELECTRICAL ENGINEERS CHAPTER 3 DIFFERENTIAL AND INTEGRAL CALCULUS 67 3.1
FUNDAMENTALS OF DIFFERENTIATION 67 3.1.1 HISTORICAL BACKGROUND 67 3.1.2
VELOCITY 68 3.1.3 DEFINITION OF A DERIVATIVE 68 3.1.4 PROPERTIES OF THE
DERIVATIVE 69 3.1.5 DIFFERENTIAL 69 3.1.6 A TANGENT 70 3.1.7 PROPERTIES
OF THE DIFFERENTIAL 71 3.1.8 THE DIFFERENTIALS OF SOME BASIC FUNCTIONS
71 3.1.9 DIFFERENTIABLE FUNCTION 71 3.1.10 DIFFERENTIAL OF COMPOSITE
FUNCTION 72 3.1.11 DERIVATIVE OF A COMPOSITE FUNCTION 73 3.1.12
DERIVATIVE OF A PRODUCT 73 3.1.13 DERIVATIVE OF QUOTIENT (FRACTION) 74
3.1.14 DERIVATIVE OF RECIPROCAL FUNCTION 75 3.1.15 DERIVATIVE OF
LOGARITHMIC FUNCTIONS 75 3.1.16 HOW TO USE A DIFFERENTIAL FOR
APPROXIMATE CALCULATIONS 76 3.1.17 DIFFERENTIATION OF IMPLICIT FUNCTIONS
76 3.1.18 LOGARITHMIC DIFFERENTIATION 77 3.1.19 PARAMETRIC
DIFFERENTIATION 78 3.1.20 DERIVATIVES OF HIGHER ORDERS 79 3.1.21
DIFFERENTIALS OF HIGHER ORDERS 79 3.1.22 HOW TO SOLVE INDETERMINACIES 81
3.1.23 TAYLOR S FORMULA 83 3.1.24 HOW TO FIND MAXIMA AND MINIMA OF THE
FUNCTION 84 3.1.25 COMMON DERIVATIVES 85 3.2 FUNDAMENTALS OF INTEGRATION
85 3.2.1 HISTORICAL BACKGROUND 85 3.2.2 THE ORIGINAL FUNCTION 86 3.2.3
AN INDEFINITE INTEGRAL 86 3.2.4 PROPERTIES OF THE INDEFINITE INTEGRAL 87
3.2.5 INTEGRATION BY SUBSTITUTION 88 3.2.6 INTEGRATION BY PARTS 88 3.2.7
DEFINITE INTEGRAL 89 3.2.8 PROPERTIES OF A DEFINITE INTEGRAL 90 3.2.9
HOW TO EVALUATE A DEFINITE INTEGRAL 91 3.2.10 HOW TO EVALUATE A DEFINITE
INTEGRAL APPROXIMATELY 92 3.2.11 IMPROPER INTEGRALS 93 3.2.12 HOW TO
EVALUATE AREAS AND VOLUMES 94 3.2.13 HOW TO EVALUATE MEAN VALUES 96
3.2.14 COMMON INTEGRALS 97 CONTENTS IX 3.3 DIFFERENTIATION AND
INTEGRATION OF THE FUNCTIONS WITH SEVERAL VARIABLES 3.3.1 3.3.2 3.3.3
3.3.4 3.3.5 3.3.6 3.3.7 3.3.8 3.3.9 3.3.10 3.3.11 3.3.12 3.3.13 3.3.14
3.3.15 3.3.16 3.3.17 FUNCTIONS OF SEVERAL VARIABLES PARTIAL DERIVATIVES
PARTIAL DIFFERENTIAL TOTAL DIFFERENTIAL HOW TO EVALUATE A PARTIAL
DERIVATIVE HOW TO DIFFERENTIATE A COMPOSITE FUNCTION HOW TO
DIFFERENTIATE AN IMPLICIT FUNCTION PARTIAL DERIVATIVES OF HIGHER ORDERS
TAYLOR S FORMULA DOUBLE INTEGRAL PROPERTIES OF THE DOUBLE INTEGRAL HOW
TO EVALUATE A DOUBLE INTEGRAL A TRIPLE INTEGRAL HOW TO EVALUATE A TRIPLE
INTEGRAL A CURVED INTEGRAL HOW TO EVALUATE A CURVED INTEGRAL THE GREEN S
FORMULA 3.4 DIFFERENTIAL EQUATIONS 3.4.1 3.4.2 3.4.3 3.4.4 3.4.5 3.4.6
3.4.7 DEFINITIONS HOW TO SOLVE DIFFERENTIAL EQUATIONS: GENERAL CONCEPT
HOW TO SOLVE THE FIRST-ORDER ORDINARY DIFFERENTIAL EQUATIONS HOW TO
SOLVE THE SECOND-ORDER ORDINARY DIFFERENTIAL EQUATIONS HOW TO SOLVE
LINEAR DIFFERENTIAL EQUATIONS OF ANY ORDER HOW TO SOLVE THE SET OF
EQUATIONS THE EASIEST WAY TO SOLVE DIFFERENTIAL EQUATIONS REFERENCES
SELECTED BIBLIOGRAPHY CHAPTER 4 COMPLEX NUMBERS AND FUNCTIONS 4.1
COMPLEX NUMBERS 4.1.1 4.1.2 4.1.3 4.1.4 4.1.5 4.1.6 4.1.7 4.1.8 4.1.9
4.1.10 DEFINITIONS EQUALITY ADDITION AND SUBTRACTION MULTIPLICATION
COMPLEX CONJUGATES DIVISION ARITHMETIC WITH A MODULUS AND AN ARGUMENT
POWER OF COMPLEX NUMBERS EULER S FORMULA LOGARITHMS OF COMPLEX NUMBERS
98 98 98 99 100 101 101 102 103 104 105 105 106 111 111 114 115 116 117
117 118 120 126 131 133 134 134 134 137 137 137 138 138 138 139 139 139
140 140 142 X MATHEMATICAL HANDBOOK FOR ELECTRICAL ENGINEERS 4.1.11
4.1.12 4.1.13 4.2 ] 4.2.1 4.2.2 4.2.3 4.2.4 4.2.5 4.2.6 4.2.7 4.2.8
4.2.9 ROOTS OF COMPLEX NUMBERS POWERS OF TRIGONOMETRIC FUNCTIONS
DIFFERENTIATION AND INTEGRATION WITH RESPECT TO THE ARGUMENT FUNCTIONS
OF A COMPLEX VARIABLE DEFINITIONS ANALYTIC AND HOLOMORPHIC FUNCTIONS A
CURVED INTEGRAL OF A FUNCTION OF A COMPLEX VARIABLE CAUCHY S THEOREM AND
FORMULA TAYLOR S SERIES CRITICAL POINTS AND POLES LORAINE S SERIES
THEOREM OF RESIDUES HOW TO EVALUATE A RESIDUE REFERENCE SELECTED
BIBLIOGRAPHY CHAPT 5.1 5.2 5.3 5.4 5.5 5.6 ER 5 FOURIER SERIES
TRIGONOMETRIC SERIES FOURIER SERIES EXPANSION FOURIER SERIES FOR EVEN
AND ODD FUNCTIONS LINEARITY OF THE FOURIER SERIES FOURIER SERIES FOR A
DISCONTINUOUS FUNCTION DIFFERENTIATION AND INTEGRATION OF FOURIER SERIES
REFERENCE SELECTED BIBLIOGRAPHY CHAPT ER 6 MATRIX ALGEBRA 6.1 MATRIX
ALGEBRA WITH REAL NUMBERS 6.1.1 6.1.2 6.1.3 6.1.4 6.1.5 6.1.6 6.1.7
6.1.8 6.1.9 6.1.10 6.1.11 6.1.12 DEFINITIONS EQUALITY ADDITION
MULTIPLICATION BY A NUMBER MULTIPLICATION OF THE MATRICES A SYMMETRICAL
MATRIX DIAGONAL AND UNIT MATRICES A TRANSPOSED MATRIX PROPERTIES OF
MATRIX MULTIPLICATION DETERMINANT AN ADJOINT MATRIX THE INVERSE MATRIX
142 142 142 142 142 143 144 144 145 146 146 146 147 147 147 149 149 150
152 153 153 154 155 155 157 157 157 158 158 158 159 160 160 161 162 162
163 164 CONTENTS XI 6.1.13 HOW TO USE MATRICES TO SOLVE LINEAR EQUATIONS
164 6.1.14 HOW TO USE MATRICES IN COORDINATE CONVERSIONS 166 6.2 MATRIX
ALGEBRA FOR COMPLEX NUMBERS 168 6.2.1 THE HERMITIAN MATRIX 168 6.2.2
MODULUS AND SCALAR PRODUCT 170 6.2.3 THE CHARACTERISTIC EQUATIONS,
EIGENVALUES, AND EIGENVECTORS 170 6.2.4 HOW TO USE MATRICES IN ANALYSIS
OF TWO-PORT CIRCUITS 172 REFERENCE 174 SELECTED BIBLIOGRAPHY 174 CHAPTER
7 VECTOR ALGEBRA 175 7.1 VECTORS 175 7.1.1 DEFINITIONS 175 7.1.2 THE
PRODUCT OF A VECTOR AND A SCALAR 176 7.1.3 ADDITION AND SUBTRACTION OF
THE VECTORS 176 7.1.4 THE SCALAR PRODUCT 177 7.1.5 PROPERTIES OF THE
SCALAR PRODUCT 178 7.1.6 THE RIGHT-HANDED AND LEFT-HANDED SETS OF
VECTORS 179 7.1.7 THE VECTOR PRODUCT 179 7.1.8 PROPERTIES OF THE VECTOR
PRODUCT 181 7.1.9 THE TRIPLE SCALAR PRODUCT 181 7.1.10 PROPERTIES OF THE
TRIPLE SCALAR PRODUCT 182 7.1.11 THE TRIPLE VECTOR PRODUCT 182 7.2
DIFFERENTIATION AND INTEGRATION OF VECTORS 182 7.2.1 A DERIVATIVE OF A
VECTOR 182 7.2.2 A DERIVATIVE OF A POINT 183 7.2.3 THE DERIVATIVE OF A
VECTOR WITH RESPECT TO ANOTHER VECTOR 183 7.2.4 PROPERTIES OF THE VECTOR
DERIVATIVES 184 7.2.5 INTEGRAL OF A VECTOR 184 7.2.6 GRADIENT 184 7.2.7
DIVERGENCE AND CURL 185 7.2.8 LAPLACE OPERATOR 186 7.2.9 HAMILTON
OPERATOR (DEL) 186 7.2.10 CIRCULATION AND FLOW: GREEN S AND STOKES
FORMULAS 187 REFERENCE SELECTED BIBLIOGRAPHY 189 189 XII MATHEMATICAL
HANDBOOK FOR ELECTRICAL ENGINEERS CHAPTER 8 PROBABILITY THEORY, RANDOM
FUNCTIONS, AND APPLIED STATISTICS 191 8.1 RANDOM EVENTS AND VARIABLES
191 8.1.1 A RANDOM EVENT 191 8.1.2 EQUIVALENT EVENTS 191 8.1.3 SUM AND
PRODUCT OF RANDOM EVENTS 191 8.1.4 DISJOINT EVENTS 192 8.1.5 COMPLETE
GROUP OF EVENTS 192 8.1.6 COMPLEMENT EVENTS 192 8.1.7 CONDITIONAL
PROBABILITY 193 8.1.8 INDEPENDENT EVENTS 193 8.1.9 PROBABILITY OF THE
SUM OF THE EVENTS 193 8.1.10 PROBABILITY OF THE PRODUCT OF THE EVENTS
194 8.1.11 AN EVENT CONDITIONAL ON THE SET OF OTHER EVENTS 195 8.1.12
BAYES RULE 195 8.1.13 A RANDOM VARIABLE 196 8.1.14 PROBABILITY
DISTRIBUTION FUNCTION 196 8.1.15 PROBABILITY DENSITY FUNCTION 197 8.1.16
GAUSSIAN PROBABILITY DISTRIBUTION AND DENSITY FUNCTIONS 198 8.1.17
STATISTICAL PARAMETERS 199 8.1.18 MOMENTS OF DISTRIBUTION 201 8.1.19
FUNCTIONAL TRANSFORM OF RANDOM VARIABLES 202 8.1.20 THE CHARACTERISTIC
FUNCTION 203 8.1.21 A MULTIDIMENSIONAL RANDOM VARIABLE 204 8.1.22
TWO-DIMENSIONAL DISTRIBUTION FUNCTIONS 204 8.1.23 THE CONDITIONAL
PROBABILITY DENSITY FUNCTION 206 8.1.24 THE MOMENTS: MATHEMATICAL
EXPECTATION, VARIANCE, AND CORRELATION 206 8.1.25 THE CONDITIONAL
MOMENTS 207 8.1.24 THE NUMERICAL PARAMETERS 208 8.1.25 FUNCTIONAL
TRANSFORM OF TWO RANDOM VARIABLES 208 8.1.26 THE MOMENTS OF TRANSFORMED
VARIABLES 209 8.1.27 THE MULTIDIMENSIONAL GAUSSIAN DISTRIBUTION 211
8.1.28 THE MODULUS AND PHASE OF A RANDOM VECTOR 211 8.2 RANDOM FUNCTIONS
213 8.2.1 RANDOM PROCESS 213 8.2.2 PROBABILITY DENSITY FUNCTION 213
8.2.3 THE MOMENTS 213 8.2.4 A COMPLEX RANDOM PROCESS 214 8.2.5 A
STATIONARY RANDOM PROCESS 215 8.2.6 THE MUTUAL CORRELATION FUNCTION 216
8.2.7 CORRELATION INTERVAL 216 8.2.8 THE SPECTRAL DENSITY 216 CONTENTS
XIII 8.2.9 A DERIVATIVE OF A RANDOM PROCESS 218 8.2.10 AN JAETEGRAL OF A
RANDOM PROCESS 220 8.2.11 A GAUSSIAN RANDOM PROCESS 221 8.2.12 A
MARKOVIAN RANDOM PROCESS 221 8.2.13 A RANDOM FLOW 222 8.2.14 POISSONFLOW
223 8.2.15 A RANDOM FIELD 224 8.2.16 MAIN CHARACTERISTICS OF A RANDOM
FIELD 224 8.2.17 MAIN CHARACTERISTICS OF A SCALAR RANDOM FIELD 226 8.3
STOCHASTIC SIMULATION 227 8.3.1 BASIC DEFINITIONS 227 8.3.2 HOW TO
SIMULATE RANDOM VARIABLES 228 8.3.3 HOW TO SIMULATE AN UNCORRELATED
RANDOM PROCESS 230 8.3.4 HOW TO SIMULATE A CORRELATED RANDOM PROCESS 230
8.4 APPLIED STATISTICS 236 8.4.1 BASIC DEFINITIONS 236 8.4.2 HOW TO
ESTIMATE PARAMETERS OF A STATIONARY RANDOM PROCESS 237 8.4.3 HOW TO
ESTIMATE PARAMETERS OF A NONSTATIONAIY RANDOM PROCESS 237 8.4.4 ACCURACY
OF ESTIMATION 238 8.4.5 THE EFFECTIVE NUMBER OF SAMPLES 239 8.4.6 HOW TO
CHOOSE PARAMETERS OF THE SAMPLE 239 8.4.7 HOW TO ESTIMATE THE
DISTRIBUTION FUNCTIONS 242 8.4.8 THE LEAST MEAN SQUARE METHOD 243
SELECTED BIBLIOGRAPHY 246 CHAPTER 9 COMPUTER-AIDED COMPUTATIONS 247 9.1
HOW TO USE THE COMPUTER TO SOLVE ALGEBRAIC EQUATIONS 247 9.2 HOW TO USE
THE COMPUTER FOR DIFFERENTIATION 248 9.3 HOW TO USE THE COMPUTER FOR
INTEGRATION 250 9.4 HOW TO USE THE COMPUTER TO EVALUATE PARTIAL
DERIVATIVES, DOUBLE AND TRIPLE INTEGRALS 253 9.5 HOW TO USE THE COMPUTER
TO SOLVE DIFFERENTIAL EQUATIONS 254 9.6 HOW TO USE THE COMPUTER IN
MATRIX CALCULUS 259 9.7 HOW TO USE THE COMPUTER IN STOCHASTIC SIMULATION
263 SELECTED BIBLIOGRAPHY 267 XIV MATHEMATICAL HANDBOOK FOR ELECTRICAL
ENGINEERS PART II MATHEMATICAL ALGORITHMS TO SOLVE COMMON PROBLEMS IN
ELECTRICAL ENGINEERING CHAPTER 10 ELECTRICAL CIRCUITS AND DEVICES
PROBLEM 10.1 PROBLEM 10.2 PROBLEM 10.3 PROBLEM 10.4 PROBLEM 10.5 PROBLEM
10.6 PROBLEM 10.7 PROBLEM 10.8 ALTERNATING CURRENT AND RCL COMPONENTS
COMPLEX IMPEDANCE PASSIVE RF DEVICE AND NOISE FIGURE RF RECEIVER AND
NOISE FIGURE BINARY INTEGRATOR INTERFERENCE REJECTION FILTERS A SENSOR
ON A MOVING PLATFORM: ORIENTATION ERRORS A SENSOR ON A MOVING PLATFORM:
POSITION ERRORS CHAPTER 11 ANTENNAS AND PROPAGATION PROBLEM 11.1 PROBLEM
11.2 PROBLEM 11.3 PROBLEM 11.4 PROBLEM 11.5 PROBLEM 11.6 PROBLEM 11.7
ANTENNA PATTERNS AND GAIN LINEAR PHASED ARRAY PLANAR PHASED ARRAY
FREE-SPACE PROPAGATION LOSS PATTERN-PROPAGATION FACTOR PROPAGATION LOSS
DUE TO ATTENUATION IN ATMOSPHERE SCATTERING CROSS SECTION CHAPTER 12
WAVEFORMS AND SIGNAL PROCESSING PROBLEM 12.1 PROBLEM 12.2 PROBLEM 12.3
PROBLEM 12.4 PROBLEM 12.5 PROBLEM 12.6 PROBLEM 12.7 PROBLEM 12.8 PROBLEM
12.9 HARMONIC OSCILLATION AMPLITUDE-MODULATED SIGNAL LINEAR
FREQUENCY-MODULATED SIGNAL NONLINEAR FREQUENCY-MODULATED SIGNAL
PHASE-MODULATED SIGNAL DIGITAL PULSE COMPRESSION IDEAL RECTANGULAR
FILTER GAUSSIAN FILTER CHEBYSHEV FILTER PROBLEM 12.10 BUTTERWORTH FILTER
CHAPTER 13 STOCHASTIC RADIO ENGINEERING PROBLEM 13.1 PROBLEM 13.2
PROBLEM 13.3 PROBLEM 13.4 PROBABILITY OF EVENTS BAYES RULE MULTIPLE
HYPOTHESES POISSON DISTRIBUTION AND RANDOM FLOW 271 271 272 276 278 283
284 292 294 299 299 302 305 307 308 318 324 327 327 332 334 338 343 346
358 364 366 368 371 371 371 372 373 CONTENTS XV PROBLEM 13.5 BERNOULLI
DISTRIBUTION AND INDEPENDENT TESTS 374 PROBLEM 13.6 EXPONENTIAL
DISTRIBUTION AND RELIABILITY 374 PROBLEM 13.7 GAUSSIAN (NORMAL)
DISTRIBUTION 375 PROBLEM 13.8 GAUSSIAN DISTRIBUTION AND MEASUREMENT
ERRORS 377 PROBLEM 13.9 GAUSSIAN DISTRIBUTION AND NONCOHERENT RADAR
DETECTION 377 PROBLEM 13.10 GAUSSIAN DISTRIBUTION AND COHERENT RADAR
DETECTION 378 PROBLEM 13.11 GAUSSIAN DISTRIBUTION AND STATISTICAL
PARAMETERS 379 PROBLEM 13.12 RAYLEIGHDISTRIBUTION 379 PROBLEM 13.13
RAYLEIGH DISTRIBUTION AND FALSE ALARMS 3 80 PROBLEM 13.14 RAYLEIGH
DISTRIBUTION AND STATISTICAL PARAMETERS 381 PROBLEM 13.15 RICEAN
DISTRIBUTION AND STATISTICAL PARAMETERS 382 PROBLEM 13.16 LINEAR
TRANSFORM AND STATISTICAL PARAMETERS 383 PROBLEM 13.17 SQUARE TRANSFORM
AND STATISTICAL PARAMETERS 384 PROBLEM 13.18 EXPONENTIAL CORRELATION
FUNCTION AND SPECTRAL DENSITY 384 PROBLEM 13.19 OSCILLATING CORRELATION
FUNCTION AND SPECTRAL DENSITY 385 PROBLEM 13.20 SIMULATIONOF A RANDOM
PROCESS: GAUSSIAN DISTRIBUTION 387 PROBLEM 13.21 SIMULATION OF A RANDOM
PROCESS: RAYLEIGH DISTRIBUTION 388 PROBLEM 13.22 SIMULATION OF A RANDOM
PROCESS: RICEAN DISTRIBUTION 3 88 PROBLEM 13.23 SIMULATION OF A RANDOM
PROCESS: EXPONENTIAL DISTRIBUTION 389 PROBLEM 13.24 SIMULATION OF A
RANDOM PROCESS: LOG-NORMAL DISTRIBUTION 390 PROBLEM 13.25 SIMULATION OF
A CORRELATED RANDOM PROCESS 391 PROBLEM 13.26 APPLIED STATISTICS:
PARAMETERS ESTIMATION 392 PROBLEM 13.27 APPLIED STATISTICS: LEAST MEAN
SQUARE METHOD 394 PART III REFERENCE DATA APPENDIX 1 COMMON CONSTANTS,
UNITS, AND CONVERSION FACTORS 399 APPENDIX 2 HYPERBOLIC AND INVERSE
HYPERBOLIC FUNCTIONS: BASIC IDENTITIES AND CONVERSION FORMULAS 403
APPENDIX 3 DELTA FUNCTION 407 APPENDIX 4 TRIGONOMETRIC AND INVERSE
TRIGONOMETRIC FUNCTIONS: BASIC IDENTITIES AND CONVERSION FORMULAS 409
APPENDIX 5 SPHERICAL TRIANGLES: BASIC IDENTITIES AND CONVERSION FORMULAS
413 APPENDIX 6 COMMON FORMULAS OF COORDINATE CONVERSION 415 APPENDIX 7
COMMON ANTENNA COORDINATES 418 APPENDIX 8 COMMON SERIES 420 APPENDIX 9
COMMON DERIVATIVES 422 APPENDIX 10 COMMON INTEGRALS 424 APPENDIX 11
COMMON FORMULAS FOR GRADIENT, DIVERGENCE, AND CURL 425 APPENDIX 12
COMMON TRANSFORMS 426 APPENDIX 13 COMMON SPECIAL FUNCTIONS 439 APPENDIX
14 COMMON DISTRIBUTION LAWS FOR RANDOM VARIABLES 449 APPENDIX 15
INTEGRAL FORMS FOR GAUSSIAN DISTRIBUTION 464 XVI MATHEMATICAL HANDBOOK
FOR ELECTRICAL ENGINEERS APPENDIX 16 MOMENTS OF RANDOM VARIABLES 466
APPENDIX 17 THE FUNCTIONAL TRANSFORM OF RANDOM VARIABLES 471 APPENDIX 18
A GAUSSIAN RANDOM PROCESS 475 APPENDIX 19 COMMON CORRELATION FUNCTIONS
AND SPECTRA 477 APPENDIX 20 THE DERIVATIVES OF THE RANDOM PROCESS 478
APPENDIX 21 COMMON SIMULATION ALGORITHMS 479 APPENDIX 22 COMMON
ALGORITHMS OF APPLIED STATISTICS 485 APPENDIX 23 GREEK ALPHABET 487
ABOUT THE AUTHORS 489 INDEX 491 9-
|
| any_adam_object | 1 |
| author | Leonov, Sergej A. |
| author_facet | Leonov, Sergej A. |
| author_role | aut |
| author_sort | Leonov, Sergej A. |
| author_variant | s a l sa sal |
| building | Verbundindex |
| bvnumber | BV019827377 |
| callnumber-first | T - Technology |
| callnumber-label | TK153 |
| callnumber-raw | TK153 |
| callnumber-search | TK153 |
| callnumber-sort | TK 3153 |
| callnumber-subject | TK - Electrical and Nuclear Engineering |
| classification_rvk | SK 950 |
| ctrlnum | (OCoLC)635931889 (DE-599)BVBBV019827377 |
| dewey-full | 621.3/01/51 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 621 - Applied physics |
| dewey-raw | 621.3/01/51 |
| dewey-search | 621.3/01/51 |
| dewey-sort | 3621.3 11 251 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Mathematik Elektrotechnik / Elektronik / Nachrichtentechnik |
| format | Book |
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| id | DE-604.BV019827377 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T12:06:43Z |
| institution | BVB |
| isbn | 1580537790 |
| language | English |
| lccn | 2005045269 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-013152518 |
| oclc_num | 635931889 |
| open_access_boolean | |
| owner | DE-1050 |
| owner_facet | DE-1050 |
| physical | XVIII, 495 S. graph. Darst. |
| publishDate | 2005 |
| publishDateSearch | 2005 |
| publishDateSort | 2005 |
| publisher | Artech House |
| record_format | marc |
| series2 | Artech House technology management and professional development library |
| spellingShingle | Leonov, Sergej A. Mathematical handbook for electrical engineers Mathematik Electrical engineering Mathematics Handbooks, manuals, etc Electrical engineering Mathematics Problems, exercises, etc Engineering mathematics Handbooks, manuals, etc Mathematik (DE-588)4037944-9 gnd Elektrotechniker (DE-588)4131091-3 gnd |
| subject_GND | (DE-588)4037944-9 (DE-588)4131091-3 |
| title | Mathematical handbook for electrical engineers |
| title_auth | Mathematical handbook for electrical engineers |
| title_exact_search | Mathematical handbook for electrical engineers |
| title_full | Mathematical handbook for electrical engineers Sergey A. Leonov ; Alexander I. Leonov |
| title_fullStr | Mathematical handbook for electrical engineers Sergey A. Leonov ; Alexander I. Leonov |
| title_full_unstemmed | Mathematical handbook for electrical engineers Sergey A. Leonov ; Alexander I. Leonov |
| title_short | Mathematical handbook for electrical engineers |
| title_sort | mathematical handbook for electrical engineers |
| topic | Mathematik Electrical engineering Mathematics Handbooks, manuals, etc Electrical engineering Mathematics Problems, exercises, etc Engineering mathematics Handbooks, manuals, etc Mathematik (DE-588)4037944-9 gnd Elektrotechniker (DE-588)4131091-3 gnd |
| topic_facet | Mathematik Electrical engineering Mathematics Handbooks, manuals, etc Electrical engineering Mathematics Problems, exercises, etc Engineering mathematics Handbooks, manuals, etc Elektrotechniker |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013152518&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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