The mathematics companion: essential and advanced mathematics for scientists and engineers
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Bristol [u.a.
IoP Publ.
2005
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 203 S. graph. Darst. |
| ISBN: | 0750310200 |
Staff View
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Record in the Search Index
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| adam_text | THE MATHEMATICS COMPANION ESSENTIAL AND ADVANCED MATHEMATICS FOR
SCIENTISTS AND ENGINEERS A C FISCHER-CRIPPS IOP INSTITUTE OF PHVSICS
PUBLISHING ULBDARMSTADT , 16237841 IV CONTENTS PREFACE PART 1.
MATHEMATICS ESSENTIALS 1.1 NUMBERS, TRIGONOMETRY AND GEOMETRY 2 (REAL
AND COMPLEX NUMBERS, TRIGONOMETRY, ANALYTICAL GEOMETRY) 1.2 LIMITS AND
FUNCTIONS 14 (DEFINITION AND EXAMPLES OF LIMITS, CONTINUITY OF
FUNCTIONS) 1.3 DIFFERENTIATION 19 (METHODS, CHAIN RULE, IMPLICIT
DIFFERENTIATION, HIGHER ORDER DERIVATIVES) 1.4 INTEGRATION 29
(DEFINITE/INDEFINITE INTEGRALS, MEAN VALUE THEOREM, FUNDAMENTAL THEOREM)
1.5 EXPONENTIAL AND LOGARITHMIC FUNCTIONS 35 (LOGARITHMS, NATURAL
EXPONENTIAL, LAW OF GROWTH AND DECAY) 1.6 TRIGONOMETRIC AND HYPERBOLIC
FUNCTIONS 41 (DERIVATIVES AND INTEGRALS OF EXPONENTIAL AND LOGARITHMIC
FUNCTIONS AND INVERSE TRIGONOMETRIC FUNCTIONS) 1.7 METHODS OF
INTEGRATION 50 (BY SUBSTITUTION, BY PARTS, TRIGONOMETRIC SUBSTITUTION,
PARTIAL FRACTIONS) 1.8 INFINITE SERIES 58 (RATIO TEST, POWER SERIES,
TAYLOR AND MACLAURIN SERIES, BINOMIAL SERIES) 1.9 PROBABILITY 64 (MEAN,
PERMUTATIONS, COMBINATIONS, PROBABILITY DISTRIBUTIONS, SAMPLING) 1.10
MATRICES 76 (MATRICES, DETERMINANTS, EIGENVALUES, CAYLEY-HAMILTON
THEOREM) PART 2. ADVANCED MATHEMATICS 2.1 ORDINARY DIFFERENTIAL
EQUATIONS * 86 (P ORDER, SEPARATION OF VARIABLES, LINEAR DIFFERENTIAL
EQUATIONS) 2.2 LAPLACE TRANSFORMS 104 (LAPLACE TRANSFORM, SOLUTIONS OF
DIFFERENTIAL EQUATIONS) 2.3 VECTOR ANALYSIS 112 (VECTORS, DOT AND CROSS
PRODUCTS, VECTOR DIFFERENTIATION) 2.4 PARTIAL DERIVATIVES 124 (PARTIAL
DERIVATIVES, DIRECTIONAL DERIVATIVES, GRADIENT, DIVERGENCE AND CURL) 2.5
MULTIPLE INTEGRALS 138 (MULTIPLE INTEGRALS, LINE AND SURFACE INTEGRALS,
DIVERGENCE, STOKES THEOREM) 2.6 FOURIER SERIES 157 (FOURIER SINE AND
COSINE SERIES, FOURIER INTEGRAL, TRANSFORM, CONVOLUTION) 2.7 PARTIAL
DIFFERENTIAL EQUATIONS 165 (LINEAR PARTIAL DIFFERENTIAL EQUATIONS, HEAT
CONDUCTION EQUATION, METHODS OF SOLUTION) 2.8 COMPLEX FUNCTIONS 175
(QUANTUM MECHANICS, SOLUTIONS TO SCHRODINGER WAVE EQUATION) 2.9
NUMERICAL METHODS 183 (NEWTON S METHOD, INTERPOLATING POLYNOMIALS, LEAST
SQUARES, CUBIC SPLINE, DIFFERENTIATION, INTEGRATION, EULER& RUNGE-KUTTA
METHODS, FINITE ELEMENT METHOD) APPENDIX 195 INDEX 199
|
| adam_txt |
THE MATHEMATICS COMPANION ESSENTIAL AND ADVANCED MATHEMATICS FOR
SCIENTISTS AND ENGINEERS A C FISCHER-CRIPPS IOP INSTITUTE OF PHVSICS
PUBLISHING ULBDARMSTADT , 16237841 IV CONTENTS PREFACE PART 1.
MATHEMATICS ESSENTIALS 1.1 NUMBERS, TRIGONOMETRY AND GEOMETRY 2 (REAL
AND COMPLEX NUMBERS, TRIGONOMETRY, ANALYTICAL GEOMETRY) 1.2 LIMITS AND
FUNCTIONS 14 (DEFINITION AND EXAMPLES OF LIMITS, CONTINUITY OF
FUNCTIONS) 1.3 DIFFERENTIATION 19 (METHODS, CHAIN RULE, IMPLICIT
DIFFERENTIATION, HIGHER ORDER DERIVATIVES) 1.4 INTEGRATION 29
(DEFINITE/INDEFINITE INTEGRALS, MEAN VALUE THEOREM, FUNDAMENTAL THEOREM)
1.5 EXPONENTIAL AND LOGARITHMIC FUNCTIONS 35 (LOGARITHMS, NATURAL
EXPONENTIAL, LAW OF GROWTH AND DECAY) 1.6 TRIGONOMETRIC AND HYPERBOLIC
FUNCTIONS 41 (DERIVATIVES AND INTEGRALS OF EXPONENTIAL AND LOGARITHMIC
FUNCTIONS AND INVERSE TRIGONOMETRIC FUNCTIONS) 1.7 METHODS OF
INTEGRATION 50 (BY SUBSTITUTION, BY PARTS, TRIGONOMETRIC SUBSTITUTION,
PARTIAL FRACTIONS) 1.8 INFINITE SERIES 58 (RATIO TEST, POWER SERIES,
TAYLOR AND MACLAURIN SERIES, BINOMIAL SERIES) 1.9 PROBABILITY 64 (MEAN,
PERMUTATIONS, COMBINATIONS, PROBABILITY DISTRIBUTIONS, SAMPLING) 1.10
MATRICES 76 (MATRICES, DETERMINANTS, EIGENVALUES, CAYLEY-HAMILTON
THEOREM) PART 2. ADVANCED MATHEMATICS 2.1 ORDINARY DIFFERENTIAL
EQUATIONS * 86 (P ORDER, SEPARATION OF VARIABLES, LINEAR DIFFERENTIAL
EQUATIONS) 2.2 LAPLACE TRANSFORMS 104 (LAPLACE TRANSFORM, SOLUTIONS OF
DIFFERENTIAL EQUATIONS) 2.3 VECTOR ANALYSIS 112 (VECTORS, DOT AND CROSS
PRODUCTS, VECTOR DIFFERENTIATION) 2.4 PARTIAL DERIVATIVES 124 (PARTIAL
DERIVATIVES, DIRECTIONAL DERIVATIVES, GRADIENT, DIVERGENCE AND CURL) 2.5
MULTIPLE INTEGRALS 138 (MULTIPLE INTEGRALS, LINE AND SURFACE INTEGRALS,
DIVERGENCE, STOKES' THEOREM) 2.6 FOURIER SERIES 157 (FOURIER SINE AND
COSINE SERIES, FOURIER INTEGRAL, TRANSFORM, CONVOLUTION) 2.7 PARTIAL
DIFFERENTIAL EQUATIONS 165 (LINEAR PARTIAL DIFFERENTIAL EQUATIONS, HEAT
CONDUCTION EQUATION, METHODS OF SOLUTION) 2.8 COMPLEX FUNCTIONS 175
(QUANTUM MECHANICS, SOLUTIONS TO SCHRODINGER WAVE EQUATION) 2.9
NUMERICAL METHODS 183 (NEWTON'S METHOD, INTERPOLATING POLYNOMIALS, LEAST
SQUARES, CUBIC SPLINE, DIFFERENTIATION, INTEGRATION, EULER& RUNGE-KUTTA
METHODS, FINITE ELEMENT METHOD) APPENDIX 195 INDEX 199 |
| any_adam_object | 1 |
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| author | Fischer-Cripps, Anthony C. |
| author_GND | (DE-588)1057637270 |
| author_facet | Fischer-Cripps, Anthony C. |
| author_role | aut |
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| building | Verbundindex |
| bvnumber | BV021626438 |
| classification_rvk | SH 500 SK 950 |
| classification_tum | MAT 023f |
| ctrlnum | (OCoLC)442734188 (DE-599)BVBBV021626438 |
| dewey-full | 530.15 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.15 |
| dewey-search | 530.15 |
| dewey-sort | 3530.15 |
| dewey-tens | 530 - Physics |
| discipline | Physik Mathematik |
| discipline_str_mv | Physik Mathematik |
| format | Book |
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| index_date | 2024-07-02T14:55:25Z |
| indexdate | 2024-07-09T20:40:14Z |
| institution | BVB |
| isbn | 0750310200 |
| language | English |
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| physical | 203 S. graph. Darst. |
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| spelling | Fischer-Cripps, Anthony C. Verfasser (DE-588)1057637270 aut The mathematics companion essential and advanced mathematics for scientists and engineers A. C. Fischer-Cripps Bristol [u.a. IoP Publ. 2005 203 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mathematische Physik Engineering mathematics Engineering mathematics Examinations Study guides Mathematical physics Mathematical physics Examinations Study guides Mathematik (DE-588)4037944-9 gnd rswk-swf Mathematik (DE-588)4037944-9 s DE-604 HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014841408&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Fischer-Cripps, Anthony C. The mathematics companion essential and advanced mathematics for scientists and engineers Mathematische Physik Engineering mathematics Engineering mathematics Examinations Study guides Mathematical physics Mathematical physics Examinations Study guides Mathematik (DE-588)4037944-9 gnd |
| subject_GND | (DE-588)4037944-9 |
| title | The mathematics companion essential and advanced mathematics for scientists and engineers |
| title_auth | The mathematics companion essential and advanced mathematics for scientists and engineers |
| title_exact_search | The mathematics companion essential and advanced mathematics for scientists and engineers |
| title_exact_search_txtP | The mathematics companion essential and advanced mathematics for scientists and engineers |
| title_full | The mathematics companion essential and advanced mathematics for scientists and engineers A. C. Fischer-Cripps |
| title_fullStr | The mathematics companion essential and advanced mathematics for scientists and engineers A. C. Fischer-Cripps |
| title_full_unstemmed | The mathematics companion essential and advanced mathematics for scientists and engineers A. C. Fischer-Cripps |
| title_short | The mathematics companion |
| title_sort | the mathematics companion essential and advanced mathematics for scientists and engineers |
| title_sub | essential and advanced mathematics for scientists and engineers |
| topic | Mathematische Physik Engineering mathematics Engineering mathematics Examinations Study guides Mathematical physics Mathematical physics Examinations Study guides Mathematik (DE-588)4037944-9 gnd |
| topic_facet | Mathematische Physik Engineering mathematics Engineering mathematics Examinations Study guides Mathematical physics Mathematical physics Examinations Study guides Mathematik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014841408&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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