Maple V programming guide:
Gespeichert in:
| Format: | Buch |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Springer
1996
|
| Schriftenreihe: | Waterloo maple : advancing mathematics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XII, 379 S. Ill., graph. Darst. |
| ISBN: | 0387945377 0387945768 |
Internformat
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV010603597 | ||
| 003 | DE-604 | ||
| 005 | 19980203 | ||
| 007 | t | ||
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| 082 | 0 | |a 510/.285/53 |2 20 | |
| 084 | |a ST 601 |0 (DE-625)143682: |2 rvk | ||
| 084 | |a DAT 306f |2 stub | ||
| 084 | |a 68N15 |2 msc | ||
| 245 | 1 | 0 | |a Maple V programming guide |c M. B. Monagan ... |
| 264 | 1 | |a New York [u.a.] |b Springer |c 1996 | |
| 300 | |a XII, 379 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Waterloo maple : advancing mathematics | |
| 630 | 0 | 4 | |a Maple (Computer file) |
| 650 | 7 | |a Computacao (metodologia e tecnicas) |2 larpcal | |
| 650 | 7 | |a Linguagens de programacao (geral) |2 larpcal | |
| 650 | 7 | |a Maple (computerprogramma) |2 gtt | |
| 650 | 4 | |a Mathématiques - Informatique | |
| 650 | 4 | |a Mathématiques - Logiciels | |
| 650 | 4 | |a Datenverarbeitung | |
| 650 | 4 | |a Mathematik | |
| 650 | 4 | |a Mathematics |x Data processing | |
| 650 | 0 | 7 | |a Maple V |0 (DE-588)4276266-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Maple V 4.0 |0 (DE-588)4407788-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Maple V 5.0 |0 (DE-588)4499931-8 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Maple V 4.0 |0 (DE-588)4407788-9 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Maple V |0 (DE-588)4276266-2 |D s |
| 689 | 1 | |5 DE-604 | |
| 689 | 2 | 0 | |a Maple V 5.0 |0 (DE-588)4499931-8 |D s |
| 689 | 2 | |8 1\p |5 DE-604 | |
| 700 | 1 | |a Monagan, Michael B. |e Sonstige |4 oth | |
| 856 | 4 | 2 | |m DNB Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007072797&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-007072797 | |
Datensatz im Suchindex
| _version_ | 1807773791377424384 |
|---|---|
| adam_text |
CONTENTS
1.
INTRODUCTION
1
1.1
GETTING
STARTED
LOCALS
AND
GLOBALS
INPUTS,
PARAMETERS,
ARGUMENTS
1.2
BASIC
PROGRAMMING
CONSTRUCTS
THE
ASSIGNMENT
STATEMENT
THE
FOR
LOOP
THE
CONDITIONAL
STATEMENT
RETURNING
UNEVALUATED
SYMBOLIC
TRANSFORMATIONS
TYPE
CHECKING
THE
WHILE
LOOP
MODULARIZATION
RECURSIVE
PROCEDURES
THE
RETURN
COMMAND
EXERCISE
1.3
BASIC
DATA
STRUCTURES
EXERCISE
EXERCISE
A
MEMBER
PROCEDURE
EXERCISE
YY'
BINARY
SEARCH
EXERCISES
PLOTTING
THE
ROOTS
OF
A
POLYNOMIAL
1.4
COMPUTING
WITH
FORMULAE
THE
HEIGHT
OF
A
POLYNOMIAL
VI
YY
CONTENTS
EXERCISE
34
THE
CHEBYSHEV
POLYNOMIALS,
TYY(X)
34
EXERCISE
35
INTEGRATION
BY
PARTS
/
35
EXERCISE
37
COMPUTING
WITH
SYMBOLIC
PARAMETERS
37
EXERCISE
40
2.
FUNDAMENTALS
41
2.1
EVALUATION
RULES
42
PARAMETERS
43
LOCAL
VARIABLES
46
GLOBAL
VARIABLES
47
EXCEPTIONS
47
THE
DITTO
OPERATOR
47
ENVIRONMENT
VARIABLES
48
2.2
NESTED
PROCEDURES
49
LOCAL
OR
GLOBAL?
50
PASSING
VARIABLES
AS
PARAMETERS
51
USING
THE
UNAPPLY
COMMAND
52
USING
SUBSTITUTION
52
THE
QUICK-SORT
ALGORITHM
53
CREATING
A
UNIFORM
RANDOM
NUMBER
GENERATOR
57
2.3
TYPES
60
TYPES
THAT
MODIFY
EVALUATION
RULES
60
STRUCTURED
TYPES
63
TYPE
MATCHING
65
2.4
CHOOSING
A
DATA
STRUCTURE:
CONNECTED
GRAPHS
67
EXERCISES
71
2.5
REMEMBER
TABLES
72
THE
REMEMBER
OPTION
72
ADDING
ENTRIES
EXPLICITLY
73
REMOVING
ENTRIES
FROM
A
REMEMBER
TABLE
74
2.6
CONCLUSION
76
3.
ADVANCED
PROGRAMMING
77
3.1
PROCEDURES
WHICH
RETURN
PROCEDURES
78
CREATING
A
NEWTON
ITERATION
78
A
SHIFT
OPERATOR
80
EXERCISE
82
3.2
WHEN
LOCAL
VARIABLES
LEAVE
HOME
83
CREATING
THE
CARTESIAN
PRODUCT
OF
A
SEQUENCE
OF
SETS
85
CONTENTS
YY
VII
EXERCISES
90
3.3
INTERACTIVE
INPUT
91
READING
STRINGS
FROM
THE
TERMINAL
91
READING
EXPRESSIONS
FROM
THE
TERMINAL
92
CONVERTING
STRINGS
TO
EXPRESSIONS
94
3.4
EXTENDING
MAPLE
95
DEFINING
NEW
TYPES
95
EXERCISES
96
FORMATTED
PRINTING
AND
THE
ALIAS
FACILITY
96
NEUTRAL
OPERATORS
98
EXERCISE
101
EXTENDING
CERTAIN
COMMANDS
102
3.5
WRITING
YOUR
OWN
PACKAGES
105
PACKAGE
INITIALIZATION
107
MAKING
YOUR
OWN
LIBRARY
109
3.6
CONCLUSION
111
4.
THE
MAPLE
LANGUAGE
113
SYNTAX
113
SEMANTICS
114
SYNTAX
ERRORS
IN
FILES
114
4.1
LANGUAGE
ELEMENTS
115
THE
CHARACTER
SET
115
TOKENS
115
RESERVED
WORDS
115
PROGRAMMING-LANGUAGE
OPERATORS
116
STRINGS
116
INTEGERS
118
TOKEN
SEPARATORS
119
BLANKS,
LINES,
COMMENTS,
AND
CONTINUATION
119
PUNCTUATION
MARKS
120
4.2
ESCAPE
CHARACTERS
121
4.3
STATEMENTS
121
THE
ASSIGNMENT
STATEMENT
122
NAMES
122
INDEXED
NAMES
123
YY'
THE
CONCATENATION
OPERATOR
123
PROTECTED
NAMES
125
UNASSIGNMENT:
CLEARING
A
NAME
126
RELATED
FUNCTIONS
126
THE
SELECTION
STATEMENT
128
VIII
YY
CONTENTS
THE
REPETITION
STATEMENT
130
THE
FOR-FROM
LOOP
130
THE
WHILE
LOOP
132
THE
F
OR-IN
LOOP
Z
132
BREAK
AND
NEXT
133
THE
READ
AND
SAVE
STATEMENTS
134
SAVING
A
MAPLE
SESSION
134
SAVING
SELECTED
VALUES
135
THE
READ
STATEMENT
135
READING
TEXT
FILES
136
4.4
EXPRESSIONS
136
EXPRESSION
TREES:
INTERNAL
REPRESENTATION
136
EVALUATION
AND
SIMPLIFICATION
138
THE
TYPES
AND
OPERANDS
OF
INTEGERS,
STRINGS,
INDEXED
NAMES,
AND
CONCATENATIONS
139
FRACTIONS
AND
RATIONAL
NUMBERS
141
FLOATING-POINT
(DECIMAL)
NUMBERS
142
ARITHMETIC
WITH
FLOATING-POINT
NUMBERS
144
COMPLEX
NUMERICAL
CONSTANTS
144
LABELS
146
SEQUENCES
147
THE
SEQ
COMMAND
148
THE
DOLLAR
OPERATOR
149
SETS
AND
LISTS
150
SELECTION
OPERATION
151
FUNCTIONS
152
THE
ARITHMETIC
OPERATORS
155
ARITHMETIC
156
AUTOMATIC
SIMPLIFICATIONS
156
SIMPLIFICATION
OF
REPEATED
EXPONENTIATION
157
NON-COMMUTATIVE
MULTIPLICATION
158
THE
COMPOSITION
OPERATORS
159
THE
DITTO
OPERATORS
159
THE
FACTORIAL
OPERATOR
160
THE
MOD
OPERATOR
160
THE
NEUTRAL
OPERATORS
161
RELATIONS
AND
LOGICAL
OPERATORS
163
THE
LOGICAL
OPERATORS
164
BOOLEAN
EXPRESSIONS
165
ARRAYS
AND
TABLES
167
SERIES
168
RANGES
170
UNEVALUATED
EXPRESSIONS
171
CONTENTS
YY
IX
CONSTANTS
173
STRUCTURED
TYPES
173
4.5
USEFUL
LOOPING
CONSTRUCTS
176
THE
MAP,
SELECT,
AND
REMOVE
COMMANDS
176
THE
ZIP
COMMAND
179
THE
SEQ,
ADD,
AND
MUL
COMMANDS
180
SEQ,
ADD,
AND
MUL
VERSUS
$,
SUM,
AND
PRODUCT
181
4.6
SUBSTITUTION
181
4.7
CONCLUSION
184
5.
PROCEDURES
185
5.1
PROCEDURE
DEFINITIONS
185
MAPPING
NOTATION
186
UNNAMED
PROCEDURES
AND
THEIR
COMBINATIONS
187
PROCEDURE
SIMPLIFICATION
187
5.2
PARAMETER
PASSING
188
DECLARED
PARAMETERS
189
THE
SEQUENCE
OF
ARGUMENTS
190
5.3
LOCAL
AND
GLOBAL
VARIABLES
191
EVALUATION
OF
LOCAL
VARIABLES
193
5.4
PROCEDURE
OPTIONS
AND
THE
DESCRIPTION
FIELD
194
OPTIONS
194
THE
REMEMBER
AND
SYSTEM
OPTIONS
194
THE
OPERATOR
AND
ARROW
OPTIONS
196
THE
COPYRIGHT
OPTION
196
THE
BUILTIN
OPTION
197
THE
DESCRIPTION
FIELD
197
5.5
THE
VALUE
RETURNED
BY
A
PROCEDURE
198
ASSIGNING
VALUES
TO
PARAMETERS
198
EXPLICIT
RETURNS
200
ERROR
RETURNS
201
TRAPPING
ERRORS
202
RETURNING
UNEVALUATED
203
EXERCISE
205
5.6
THE
PROCEDURE
OBJECT
205
YY'
LAST
NAME
EVALUATION
205
THE
TYPE
AND
OPERANDS
OF
A
PROCEDURE
206
SAVING
AND
RETRIEVING
PROCEDURES
208
5.7
EXERCISES
209
5.8
CONCLUSION
210
X
CONTENTS
6.
DEBUGGING
MAPLE
PROGRAMS
212
6.1
A
TUTORIAL
EXAMPLE
212
6.2
INVOKING
THE
DEBUGGER
Z
221
DISPLAYING
THE
STATEMENTS
OF
A
PROCEDURE
221
BREAKPOINTS
222
EXPLICIT
BREAKPOINTS
'
223
WATCHPOINTS
225
ERROR
WATCHPOINTS
226
6.3
EXAMINING
AND
CHANGING
THE
STATE
OF
THE
SYSTEM
228
6.4
CONTROLLING
EXECUTION
234
6.5
RESTRICTIONS
238
NUMERICAL
PROGRAMMING
IN
MAPLE
240
7.1
THE
BASICS
OF
EVALF
241
7.2
HARDWARE
FLOATING-POINT
NUMBERS
243
NEWTON
ITERATIONS
245
COMPUTING
WITH
ARRAYS
OF
NUMBERS
248
7.3
FLOATING-POINT
MODELS
IN
MAPLE
250
SOFTWARE
FLOATS
251
HARDWARE
FLOATS
251
ROUNDOFF
ERROR
252
7.4
EXTENDING
THE
EVALF
COMMAND
254
DEFINING
YOUR
OWN
CONSTANTS
254
DEFINING
YOUR
OWN
FUNCTIONS
256
7.5
CONCLUSION
258
8.
PROGRAMMING
WITH
MAPLE
GRAPHICS
259
8.1
BASIC
PLOT
FUNCTIONS
259
8.2
PROGRAMMING
WITH
PLOTTING
LIBRARY
FUNCTIONS
263
PLOTTING
A
LOOP
263
A
RIBBON
PLOT
PROCEDURE
265
8.3
MAPLE
'
S
PLOTTING
DATA
STRUCTURES
268
THE
PLOT
DATA
STRUCTURE
270
A
SUM
PLOT
273
THE
PL0T3D
DATA
STRUCTURE
275
8.4
PROGRAMMING
WITH
PLOT
DATA
STRUCTURES
279
WRITING
GRAPHIC
PRIMITIVES
280
PLOTTING
GEARS
281
POLYGON
MESHES
285
8.5
PROGRAMMING
WITH
THE
PLOTTOOLS
PACKAGE
287
A
PIE
CHART
288
A
DROPSHADOW
PROCEDURE
290
CONTENTS
YY
XI
CREATING
A
TILING
292
A
SMITH
CHART
293
MODIFYING
POLYGON
MESHES
294
8.6
EXAMPLE:
VECTOR
FIELD
PLOTS
299
8.7
GENERATING
GRIDS
OF
POINTS
311
8.8
ANIMATION
315
8.9
PROGRAMMING
WITH
COLOR
322
GENERATING
COLOR
TABLES
324
ADDING
COLOR
INFORMATION
TO
PLOTS
328
CREATING
A
CHESS
BOARD
PLOT
331
8.10
CONCLUSION
333
9.
INPUT
AND
OUTPUT
334
9.1
A
TUTORIAL
EXAMPLE
334
9.2
FILE
TYPES
AND
MODES
337
BUFFERED
FILES
VERSUS
UNBUFFERED
FILES
338
TEXT
FILES
VERSUS
BINARY
FILES
338
READ
MODE
VERSUS
WRITE
MODE
339
THE
DEFAULT
AND
TERMINAL
FILES
339
9.3
FILE
DESCRIPTORS
VERSUS
FILE
NAMES
339
9.4
FILE
MANIPULATION
COMMANDS
340
OPENING
AND
CLOSING
FILES
340
POSITION
DETERMINATION
AND
ADJUSTMENT
341
DETECTING
THE
END
OF
A
FILE
342
DETERMINING
FILE
STATUS
342
REMOVING
FILES
343
9.5
INPUT
COMMANDS
344
READING
TEXT
LINES
FROM
A
FILE
344
READING
ARBITRARY
BYTES
FROM
A
FILE
345
FORMATTED
INPUT
345
READING
MAPLE
STATEMENTS
348
READING
TABULAR
DATA
349
9.6
OUTPUT
COMMANDS
350
CONFIGURING
OUTPUT
PARAMETERS
USING
THE
INTERFACE
COMMAND
350
ONE-DIMENSIONAL
EXPRESSION
OUTPUT
350
TWO-DIMENSIONAL
EXPRESSION
OUTPUT
351
YY'
WRITING
MAPLE
STRINGS
TO
A
FILE
353
WRITING
ARBITRARY
BYTES
TO
A
FILE
354
FORMATTED
OUTPUT
354
WRITING
TABULAR
DATA
357
FLUSHING
A
BUFFERED
FILE
358
YY
CONTENTS
REDIRECTING
THE
DEFAULT
OUTPUT
STREAM
358
9.7
CONVERSION
COMMANDS
C
OR
FORTRAN
GENERATION
ETGX
OR
EQN
GENERATION
CONVERSION
BETWEEN
STRINGS
AND
LISTS
OF
INTEGERS
PARSING
MAPLE
EXPRESSIONS
AND
STATEMENTS
FORMATTED
CONVERSION
TO
AND
FROM
STRINGS
9.8
A
DETAILED
EXAMPLE
9.9
NOTES
TO
C
PROGRAMMERS
9.10
CONCLUSION
359
359
Z
361
363
363
364
365
366
367
INDEX
369 |
| any_adam_object | 1 |
| building | Verbundindex |
| bvnumber | BV010603597 |
| callnumber-first | Q - Science |
| callnumber-label | QA76 |
| callnumber-raw | QA76.95 |
| callnumber-search | QA76.95 |
| callnumber-sort | QA 276.95 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | ST 601 |
| classification_tum | DAT 306f |
| ctrlnum | (OCoLC)34516533 (DE-599)BVBBV010603597 |
| dewey-full | 510/.285/53 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510/.285/53 |
| dewey-search | 510/.285/53 |
| dewey-sort | 3510 3285 253 |
| dewey-tens | 510 - Mathematics |
| discipline | Informatik Mathematik |
| format | Book |
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| id | DE-604.BV010603597 |
| illustrated | Illustrated |
| indexdate | 2024-08-19T00:30:32Z |
| institution | BVB |
| isbn | 0387945377 0387945768 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007072797 |
| oclc_num | 34516533 |
| open_access_boolean | |
| owner | DE-703 DE-384 DE-824 DE-573 DE-20 DE-91 DE-BY-TUM DE-91G DE-BY-TUM DE-83 DE-188 |
| owner_facet | DE-703 DE-384 DE-824 DE-573 DE-20 DE-91 DE-BY-TUM DE-91G DE-BY-TUM DE-83 DE-188 |
| physical | XII, 379 S. Ill., graph. Darst. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Springer |
| record_format | marc |
| series2 | Waterloo maple : advancing mathematics |
| spelling | Maple V programming guide M. B. Monagan ... New York [u.a.] Springer 1996 XII, 379 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Waterloo maple : advancing mathematics Maple (Computer file) Computacao (metodologia e tecnicas) larpcal Linguagens de programacao (geral) larpcal Maple (computerprogramma) gtt Mathématiques - Informatique Mathématiques - Logiciels Datenverarbeitung Mathematik Mathematics Data processing Maple V (DE-588)4276266-2 gnd rswk-swf Maple V 4.0 (DE-588)4407788-9 gnd rswk-swf Maple V 5.0 (DE-588)4499931-8 gnd rswk-swf Maple V 4.0 (DE-588)4407788-9 s DE-604 Maple V (DE-588)4276266-2 s Maple V 5.0 (DE-588)4499931-8 s 1\p DE-604 Monagan, Michael B. Sonstige oth DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007072797&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 | Maple V programming guide Maple (Computer file) Computacao (metodologia e tecnicas) larpcal Linguagens de programacao (geral) larpcal Maple (computerprogramma) gtt Mathématiques - Informatique Mathématiques - Logiciels Datenverarbeitung Mathematik Mathematics Data processing Maple V (DE-588)4276266-2 gnd Maple V 4.0 (DE-588)4407788-9 gnd Maple V 5.0 (DE-588)4499931-8 gnd |
| subject_GND | (DE-588)4276266-2 (DE-588)4407788-9 (DE-588)4499931-8 |
| title | Maple V programming guide |
| title_auth | Maple V programming guide |
| title_exact_search | Maple V programming guide |
| title_full | Maple V programming guide M. B. Monagan ... |
| title_fullStr | Maple V programming guide M. B. Monagan ... |
| title_full_unstemmed | Maple V programming guide M. B. Monagan ... |
| title_short | Maple V programming guide |
| title_sort | maple v programming guide |
| topic | Maple (Computer file) Computacao (metodologia e tecnicas) larpcal Linguagens de programacao (geral) larpcal Maple (computerprogramma) gtt Mathématiques - Informatique Mathématiques - Logiciels Datenverarbeitung Mathematik Mathematics Data processing Maple V (DE-588)4276266-2 gnd Maple V 4.0 (DE-588)4407788-9 gnd Maple V 5.0 (DE-588)4499931-8 gnd |
| topic_facet | Maple (Computer file) Computacao (metodologia e tecnicas) Linguagens de programacao (geral) Maple (computerprogramma) Mathématiques - Informatique Mathématiques - Logiciels Datenverarbeitung Mathematik Mathematics Data processing Maple V Maple V 4.0 Maple V 5.0 |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007072797&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT monaganmichaelb maplevprogrammingguide |