Essential Maple: an introduction for scientific programmers
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York [u.a.]
Springer
1995
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 207 - 209 |
| Physical Description: | XV, 218 S. graph. Darst. |
| ISBN: | 3540942092 0387942092 |
Staff View
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| 100 | 1 | |a Corless, Robert M. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Essential Maple |b an introduction for scientific programmers |c Robert M. Corless |
| 264 | 1 | |a New York [u.a.] |b Springer |c 1995 | |
| 300 | |a XV, 218 S. |b graph. Darst. | ||
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Record in the Search Index
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| adam_text | ROBERT M. CORLESS ESSENTIAL MAPLE AN INTRODUCTION FOR SCIENTIFIC
PROGRAMMERS WITH 32 FIGURES SPRINGER-VERLAG NEW YORK BERLIN HEIDELBERG
LONDON PARIS TOKYO HONG KONG BARCELONA BUDAPEST CONTENTS PREFACE VII
LIST OF FIGURES XV 1 BASICS 1 1.1 GETTING STARTED 1 1.1.1 BASIC COMMAND
SYNTAX 2 1.1.2 SAMPLE MAPLE SESSIONS 3 1.1.3 ARITHMETIC 16 1.1.4 COMMON
SYNTAX ERRORS 19 1.1.5 INTERRUPTING A MAPLE COMPUTATION 20 1.2 SAVING
WORK 21 1.3 USE OF FILES 22 1.3.1 WORKSHEETS 23 1.3.2 WRITING TO A FILE
23 1.4 SOME THINGS TO WATCH OUT FOR 24 1.4.1 ASSIGNING VALUES TO
VARIABLES 24 1.4.2 REMOVING VALUES FROM VARIABLES 25 1.4.3 LEFT QUOTE
VS. RIGHT QUOTE VS. DITTO 27 1.4.4 PRECEDENCE OF OPERATORS 29 1.4.5
PROTECTED AND RESERVED NAMES 30 1.5 DOCUMENTING YOUR WORK 30 1.6 THE
THREE LEVELS OF MAPLE BLACK BOXES 33 1.7 NO NON-TRIVIAL SOFTWARE
PACKAGE IS BUG-FREE 34 1.8 EVALUATION RULES 35 1.8.1 INERT FUNCTIONS 41
1.9 THE ASSUME FACILITY 45 2 USEFUL ONE-WORD COMMANDS 49 2.1
SIMPLIFICATION 49 XII * CONTENTS 2.1.1 NORMAL 49 2.1.2 COLLECT 52 2.1.3
FACTOR 55 2.1.4 EXPAND 57 2.1.5 COMBINE 58 2.1.6 SIMPLIFY 58 2.2 SOLVING
EQUATIONS 62 2.2.1 SYSTEMS OF POLYNOMIAL EQUATIONS 64 2.3 MANIPULATIONS
FROM CALCULUS 67 2.3.1 CONTINUITY OF ANTIDERIVATIVES 74 2.4 ADDING TERMS
VS. THE FINITE-DIFFERENCE CALCULUS 80 2.5 FLOATING-POINT EVALUATION 84
2.6 THE MOST HELPFUL MAPLE UTILITIES 89 2.7 PLOTTING IN MAPLE 94 2.7.1
TWO-DIMENSIONAL PLOTS 95 2.7.2 A HIGHLY DISCONTINUOUS FUNCTION 100 2.7.3
POLAR COORDINATE PLOTS 104 2.7.4 THREE-DIMENSIONAL PLOTS 107 2.7.5
CONTOUR PLOTS AND OTHER PLOTS 110 2.7.6 COMMON ERRORS 116 2.7.7 GETTING
HARDCOPY OF YOUR PLOTS 117 3 PROGRAMMING IN MAPLE 121 3.1 OPERATORS 122
3.1.1 FINITE-DIFFERENCE OPERATOR EXAMPLES 126 3.1.2 REMARKS ON
MATHEMATICAL OPERATORS 128 3.2 MORE GENERAL PROCEDURES 129 3.2.1
STRUCTURED TYPES 131 3.3 DATA STRUCTURES 133 3.4 LOCAL VS. GLOBAL VS.
ENVIRONMENT VARIABLES 139 3.4.1 EXPORTING LOCAL VARIABLES 139 3.4.2
GLOBAL VARIABLES 141 3.4.3 ENVIRONMENT VARIABLES 141 3.5 RECURSION AND
OPTION REMEMBER 144 3.6 VARIABLE NUMBER OR TYPE OF ARGUMENTS 147 3.7
CREATING YOUR OWN HELP FILE 149 3.8 RETURNING MORE THAN ONE RESULT 152
3.9 DEBUGGING MAPLE PROGRAMS 154 3.10 SAMPLE MAPLE PROGRAMS 158 3.10.1
PARAMETRIC SOLUTION OF ALGEBRAIC EQUATIONS 158 3.10.2 READING A
PROCEDURE INTO MAPLE 161 3.10.3 INDEXING FUNCTION FOR BANDED MATRICES
162 3.10.4 SOLUTION OF Y {T) = AY(T - 1) 167 CONTENTS * XIII KEYWORD
SUMMARY 171 4.1 LINEAR ALGEBRA 172 4.1.1 ESSENTIALS 172 4.1.2 SOLUTION
OF LINEAR SYSTEMS 172 4.1.3 EIGENPROBLEMS 173 4.1.4 ORTHOGONALIZATION
173 4.1.5 SPECIAL MATRICES 174 4.1.6 THEORY 174 4.1.7 UTILITIES 175
4.1.8 VECTOR OPERATIONS 176 4.1.9 LINEAR PROGRAMMING 176 4.1.10
APPROPRIATE CONVERSIONS 177 4.1.11 RELEVANT STRUCTURED DATA TYPES 177
4.2 POLYNOMIALS AND RATIONAL FUNCTIONS 178 4.2.1 POLYNOMIAL
MANIPULATIONS 178 4.2.2 MATHEMATICAL OPERATIONS 179 4.2.3 ROOTFINDING
180 4.2.4 SYMBOLIC MANIPULATION OF ROOTS 180 4.2.5 ORTHOGONAL
POLYNOMIALS 181 4.2.6 RATIONAL FUNCTIONS 181 4.2.7 INTERPOLATION AND
APPROXIMATION 181 4.2.8 UTILITIES 182 4.2.9 APPROPRIATE CONVERSIONS 183
4.2.10 RELEVANT STRUCTURED DATA TYPES 183 4.3 CALCULUS 184 4.3.1
UNIVARIATE CALCULUS 184 4.3.2 MULTIVARIATE CALCULUS 185 4.3.3 COMPLEX
VARIABLES 186 4.3.4 ELEMENTARY AND SPECIAL FUNCTIONS AND CONSTANTS ..
187 4.3.5 FUNCTIONS WITH JUMP DISCONTINUITIES 190 4.3.6 APPROPRIATE
CONVERSIONS 191 4.3.7 APPROPRIATE SIMPLIFICATIONS 192 4.3.8 RELEVANT
STRUCTURED DATA TYPES 192 4.4 ABSTRACT ALGEBRA 193 4.4.1 GROUPS 193
4.4.2 RINGS 193 4.4.3 FIELDS 194 4.4.4 GENERAL DOMAINS 194 4.5
COMBINATORICS, NUMBER THEORY, AND GRAPH THEORY 194 4.5.1 APPROPRIATE
CONVERSIONS 195 4.5.2 RELEVANT STRUCTURED DATA TYPES 195 4.6 GEOMETRY
197 XIV * CONTENTS 4.7 PLOTTING 197 4.7.1 RELEVANT STRUCTURED DATA TYPES
197 4.8 STATISTICS 198 4.9 SHARE LIBRARY 198 4.10 PROGRAMMING 199 4.10.1
CONTROL STRUCTURES 199 4.10.2 OBJECT MANIPULATION 199 4.10.3 PROCEDURES
200 4.10.4 DEBUGGING TOOLS 201 4.10.5 PROGRAM GENERATION TOOLS 201
4.10.6 HACKER S CORNER 202 4.10.7 APPROPRIATE CONVERSIONS 202 4.10.8
RELEVANT STRUCTURED DATA TYPES 203 4.11 FILE I/O 203 4.12 CONNECTIONS TO
OTHER PROGRAMS AND LANGUAGES 204 4.12.1 CONVERSION TO FORTRAN AND C 204
4.12.2 TYPESETTING LANGUAGE OUTPUT 204 4.12.3 CALLING OTHER PROGRAMS
FROM MAPLE 205 4.12.4 CALLING MAPLE FROM OTHER PROGRAMS 205 REFERENCES
207 INDEX 211
|
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| format | Book |
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| indexdate | 2024-07-09T17:42:52Z |
| institution | BVB |
| isbn | 3540942092 0387942092 |
| language | English |
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| physical | XV, 218 S. graph. Darst. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | Springer |
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| spelling | Corless, Robert M. Verfasser aut Essential Maple an introduction for scientific programmers Robert M. Corless New York [u.a.] Springer 1995 XV, 218 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Literaturverz. S. 207 - 209 Maple (Computer file) Maple (computerprogramma) gtt Mathématiques - Informatique Datenverarbeitung Mathematik Mathematics Data processing Maple V 4.0 (DE-588)4407788-9 gnd rswk-swf Maple V 4.0 (DE-588)4407788-9 s DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006557095&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Corless, Robert M. Essential Maple an introduction for scientific programmers Maple (Computer file) Maple (computerprogramma) gtt Mathématiques - Informatique Datenverarbeitung Mathematik Mathematics Data processing Maple V 4.0 (DE-588)4407788-9 gnd |
| subject_GND | (DE-588)4407788-9 |
| title | Essential Maple an introduction for scientific programmers |
| title_auth | Essential Maple an introduction for scientific programmers |
| title_exact_search | Essential Maple an introduction for scientific programmers |
| title_full | Essential Maple an introduction for scientific programmers Robert M. Corless |
| title_fullStr | Essential Maple an introduction for scientific programmers Robert M. Corless |
| title_full_unstemmed | Essential Maple an introduction for scientific programmers Robert M. Corless |
| title_short | Essential Maple |
| title_sort | essential maple an introduction for scientific programmers |
| title_sub | an introduction for scientific programmers |
| topic | Maple (Computer file) Maple (computerprogramma) gtt Mathématiques - Informatique Datenverarbeitung Mathematik Mathematics Data processing Maple V 4.0 (DE-588)4407788-9 gnd |
| topic_facet | Maple (Computer file) Maple (computerprogramma) Mathématiques - Informatique Datenverarbeitung Mathematik Mathematics Data processing Maple V 4.0 |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006557095&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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