Maple V - learning guide:
Gespeichert in:
Hauptverfasser: | , , |
---|---|
Format: | Buch |
Sprache: | English |
Veröffentlicht: |
New York [u.a.]
Springer
1996
|
Schriftenreihe: | Waterloo maple : advancing mathematics
|
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | IX, 269 S. Ill., graph. Darst. |
ISBN: | 0387945369 038794575X |
Internformat
MARC
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100 | 1 | |a Heal, K. M. |e Verfasser |4 aut | |
245 | 1 | 0 | |a Maple V - learning guide |c K. M. Heal ; M. L. Hansen ; K. M. Rickard |
264 | 1 | |a New York [u.a.] |b Springer |c 1996 | |
300 | |a IX, 269 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 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 Algebra |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 Hansen, M. L. |e Verfasser |4 aut | |
700 | 1 | |a Rickard, K. M. |e Verfasser |4 aut | |
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=007078650&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:BVB01-007078650 |
Datensatz im Suchindex
_version_ | 1809768397975584768 |
---|---|
adam_text |
CONTENTS
1.
INTERACTIVE
USE
OF
MAPLE
1
1.1
THE
WORKSHEET
INTERFACE
3
1.2
TUTORIAL
1:
SOLVING
PROBLEMS
6
1.3
TUTORIAL
2:
DOCUMENTING
YOUR
WORK
12
ADDING
A
TITLE
13
ADDING
HEADINGS
13
IN-LINE
MATHEMATICS
15
1.4
TUTORIAL
3:
MULTIPLE
WORKSHEETS
16
CUT
AND
PASTE
17
ADDING
HYPERLINKS
19
BOOKMARKS
19
1.5
TUTORIAL
4:
GETTING
HELP
20
THE
CONTENTS
OF
THE
HELP
SYSTEM
21
SEARCHING
BY
TOPIC
21
FULL-TEXT
SEARCHING
22
1.6
CONCLUSION
22
2.
MATHEMATICS
WITH
MAPLE:
THE
BASICS
24
2.1
INTRODUCTION
24
2.2
NUMERICAL
COMPUTATIONS
25
,
INTEGER
COMPUTATIONS
25
EXACT
ARITHMETIC
-
RATIONALS,
IRRATIONALS,
AND
CONSTANTS
27
FLOATING-POINT
APPROXIMATIONS
29
ARITHMETIC
WITH
SPECIAL
NUMBERS
31
VI
CONTENTS
MATHEMATICAL
FUNCTIONS
32
2.3
BASIC
SYMBOLIC
COMPUTATIONS
32
2.4
ASSIGNING
NAMES
TO
EXPRESSIONS
34
2.5
MORE
BASIC
TYPES
OF
MAPLE
OBJECTS
/'
36
EXPRESSION
SEQUENCES
36
LISTS
37
SETS
38
OPERATIONS
ON
SETS
AND
LISTS
39
ARRAYS
40
TABLES
44
2.6
EXPRESSION
MANIPULATION
45
THE
SIMPLIFY
COMMAND
45
THE
FACTOR
COMMAND
46
THE
EXPAND
COMMAND
46
THE
CONVERT
COMMAND
47
THE
NORMAL
COMMAND
48
THE
COMBINE
COMMAND
49
THE
MAP
COMMAND
49
THE
IHS
AND
RHS
COMMANDS
50
THE
NUMER
AND
DENOM
COMMANDS
51
THE
NOPS
AND
OP
COMMANDS
51
COMMON
QUESTIONS
ABOUT
EXPRESSION
MANIPULATION
51
HOW
DO
I
SUBSTITUTE
FOR
A
PRODUCT
OF
TWO
UNKNOWNS?
51
WHY
IS
THE
RESULT
OF
SIMPLIFY
NOT
THE
SIMPLEST
FORM?
52
HOW
DO
I
FACTOR
THE
CONSTANT
OUT
OF
2X
+
2Y?
52
2.7
CONCLUSION
53
3.
FINDING
SOLUTIONS
54
3.1
SIMPLE
SOLVE
54
VERIFYING
SOLUTIONS
56
RESTRICTING
SOLUTIONS
57
EXPLORING
SOLUTIONS
58
THE
UNAPPLY
COMMAND
59
THE
ASSIGN
COMMAND
60
THE
ROOTOF
COMMAND
62
3.2
SOLVING
NUMERICALLY:
F
SOLVE
62
LIMITATIONS
ON
SOLVE
64
3.3
OTHER
SOLVERS
66
FINDING
INTEGER
SOLUTIONS
66
FINDING
SOLUTIONS
MODULO
M
67
VII
CONTENTS
SOLVING
RECURRENCE
RELATIONS
67
3.4
POLYNOMIALS
67
SORTING
AND
COLLECTING
68
MATHEMATICAL
OPERATIONS
69
COEFFICIENTS
AND
DEGREES
70
ROOT
FINDING
AND
FACTORIZATION
71
3.5
CALCULUS
72
3.6
DIFFERENTIAL
EQUATIONS:
DSOLVE
77
3.7
THE
ORGANIZATION
OF
MAPLE
82
3.8
THE
MAPLE
PACKAGES
84
LIST
OF
PACKAGES
84
THE
STUDENT
CALCULUS
PACKAGE
86
THE
LINEAR
ALGEBRA
PACKAGE
89
THE
STATISTICS
PACKAGE
91
THE
LINEAR
OPTIMIZATION
PACKAGE
93
3.9
CONCLUSION
95
4.
GRAPHICS
96
4.1
GRAPHING
IN
TWO
DIMENSIONS
96
PARAMETRIC
PLOTS
98
POLAR
COORDINATES
100
FUNCTIONS
WITH
DISCONTINUITIES
104
MULTIPLE
PLOTS
107
PLOTTING
DATA
POINTS
109
REFINING
PLOTS
111
4.2
GRAPHING
IN
THREE
DIMENSIONS
112
PARAMETRIC
PLOTS
114
SPHERICAL
COORDINATES
115
CYLINDRICAL
COORDINATES
117
REFINING
PLOTS
118
SHADING
AND
LIGHTING
SCHEMES
119
4.3
ANIMATION
120
ANIMATION
IN
TWO
DIMENSIONS
120
ANIMATION
IN
THREE
DIMENSIONS
123
4.4
ANNOTATING
PLOTS
124
4.5
COMPOSITE
PLOTS
126
PLACING
TEXT
IN
PLOTS
128
4.6
SPECIAL
TYPES
OF
PLOTS
129
4.7
MANIPULATING
GRAPHICAL
OBJECTS
135
4.8
CONCLUSION
140
VIII
YY
CONTENTS
5.
EVALUATION
AND
SIMPLIFICATION
141
5.1
MATHEMATICAL
MANIPULATIONS
141
EXPANDING
POLYNOMIALS
AS
SUMS
142
COLLECTING
THE
COEFFICIENTS
OF
LIKE
POWERS
'
143
FACTORING
POLYNOMIALS
AND
RATIONAL
FUNCTIONS
145
SPECIFYING
THE
ALGEBRAIC
NUMBER
FIELD
?'
146
FACTORING
IN
SPECIAL
DOMAINS
147
REMOVING
RATIONAL
EXPONENTS
148
COMBINING
TERMS
148
FACTORED
NORMAL
FORM
149
A
SPECIAL
CASE
151
SIMPLIFYING
EXPRESSIONS
151
SIMPLIFICATION
WITH
ASSUMPTIONS
152
SIMPLIFICATION
WITH
SIDE
RELATIONS
153
SORTING
ALGEBRAIC
EXPRESSIONS
154
CONVERTING
BETWEEN
EQUIVALENT
FORMS
155
5.2
THE
ASSUME
FACILITY
156
5.3
STRUCTURAL
MANIPULATIONS
159
MAPPING
A
FUNCTION
ONTO
A
LIST
OR
SET
160
CHOOSING
ELEMENTS
FROM
A
LIST
OR
SET
162
MERGING
TWO
LISTS
163
SORTING
LISTS
164
THE
PARTS
OF
AN
EXPRESSION
166
SUBSTITUTION
172
CHANGING
THE
TYPE
OF
AN
EXPRESSION
175
5.4
EVALUATION
RULES
177
LEVELS
OF
EVALUATION
177
LAST
NAME
EVALUATION
178
ONE-LEVEL
EVALUATION
180
COMMANDS
WITH
SPECIAL
EVALUATION
RULES
180
THE
ASSIGNED
AND
EVALN
COMMANDS
180
THE
SEQ
COMMAND
181
QUOTATION
AND
UNEVALUATION
181
USING
QUOTED
VARIABLES
AS
FUNCTION
ARGUMENTS
183
CONCATENATION
OF
NAMES
184
5.5
CONCLUSION
185
6.
EXAMPLES
FROM
CALCULUS
187
6.1
INTRODUCTORY
CALCULUS
187
THE
DERIVATIVE
187
A
TAYLOR
APPROXIMATION
192
THE
INTEGRAL
203
CONTENTS
YY
IX
MIXED
PARTIAL
DERIVATIVES
206
6.2
ORDINARY
DIFFERENTIAL
EQUATIONS
210
THE
DSOLVE
COMMAND
210
THE
EXPLICIT=TRUE
OPTION
211
THE
METHOD=LAPLACE
OPTION
212
THE
TYPE=SERIES
OPTION
218
THE
TYPE=NUMERIC
OPTION
220
EXAMPLE:
TAYLOR
SERIES
225
WHEN
YOU
CANNOT
FIND
A
CLOSED
FORM
SOLUTION
229
PLOTTING
ORDINARY
DIFFERENTIAL
EQUATIONS
231
DISCONTINUOUS
FORCING
FUNCTIONS
235
THE
HEAVISIDE
STEP
FUNCTION
235
THE
DIRAC
DELTA
FUNCTION
237
PIECEWISE
FUNCTIONS
238
6.3
PARTIAL
DIFFERENTIAL
EQUATIONS
240
THE
PDESOLVE
COMMAND
240
CHANGING
THE
DEPENDENT
VARIABLE
IN
A
PDE
242
PLOTTING
PARTIAL
DIFFERENTIAL
EQUATIONS
245
6.4
CONCLUSION
247
7.
INPUT
AND
OUTPUT
248
7.1
READING
FILES
248
READING
COLUMNS
OF
NUMBERS
FROM
A
FILE
249
READING
COMMANDS
FROM
A
FILE
252
7.2
WRITING
DATA
TO
A
FILE
253
WRITING
COLUMNS
OF
NUMERICAL
DATA
TO
A
FILE
253
SAVING
EXPRESSIONS
IN
MAPLE
'
S
INTERNAL
FORMAT
255
CONVERTING
TO
DTPX
FORMAT
257
7.3
EXPORTING
WHOLE
WORKSHEETS
257
EXPORT
AS
TEXT
258
EXPORT
AS
DTGX
259
7.4
PRINTING
GRAPHICS
261
7.5
CONCLUSION
262
INDEX
263 |
any_adam_object | 1 |
author | Heal, K. M. Hansen, M. L. Rickard, K. M. |
author_facet | Heal, K. M. Hansen, M. L. Rickard, K. M. |
author_role | aut aut aut |
author_sort | Heal, K. M. |
author_variant | k m h km kmh m l h ml mlh k m r km kmr |
building | Verbundindex |
bvnumber | BV010610459 |
callnumber-first | Q - Science |
callnumber-label | QA155 |
callnumber-raw | QA155.7.E4 |
callnumber-search | QA155.7.E4 |
callnumber-sort | QA 3155.7 E4 |
callnumber-subject | QA - Mathematics |
classification_rvk | ST 601 |
classification_tum | DAT 306 |
ctrlnum | (OCoLC)248406137 (DE-599)BVBBV010610459 |
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.BV010610459 |
illustrated | Illustrated |
indexdate | 2024-09-10T00:53:59Z |
institution | BVB |
isbn | 0387945369 038794575X |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007078650 |
oclc_num | 248406137 |
open_access_boolean | |
owner | DE-29T DE-384 DE-355 DE-BY-UBR DE-824 DE-573 DE-20 DE-91 DE-BY-TUM DE-91G DE-BY-TUM DE-19 DE-BY-UBM DE-83 DE-188 |
owner_facet | DE-29T DE-384 DE-355 DE-BY-UBR DE-824 DE-573 DE-20 DE-91 DE-BY-TUM DE-91G DE-BY-TUM DE-19 DE-BY-UBM DE-83 DE-188 |
physical | IX, 269 S. Ill., graph. Darst. |
publishDate | 1996 |
publishDateSearch | 1996 |
publishDateSort | 1996 |
publisher | Springer |
record_format | marc |
series2 | Waterloo maple : advancing mathematics |
spelling | Heal, K. M. Verfasser aut Maple V - learning guide K. M. Heal ; M. L. Hansen ; K. M. Rickard New York [u.a.] Springer 1996 IX, 269 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Waterloo maple : advancing mathematics Maple (Computer file) Linguagens de programacao (geral) larpcal Maple (computerprogramma) gtt Mathématiques - Informatique Mathématiques - Logiciels Datenverarbeitung Algebra 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 Hansen, M. L. Verfasser aut Rickard, K. M. Verfasser aut DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007078650&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 | Heal, K. M. Hansen, M. L. Rickard, K. M. Maple V - learning guide Maple (Computer file) Linguagens de programacao (geral) larpcal Maple (computerprogramma) gtt Mathématiques - Informatique Mathématiques - Logiciels Datenverarbeitung Algebra 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 - learning guide |
title_auth | Maple V - learning guide |
title_exact_search | Maple V - learning guide |
title_full | Maple V - learning guide K. M. Heal ; M. L. Hansen ; K. M. Rickard |
title_fullStr | Maple V - learning guide K. M. Heal ; M. L. Hansen ; K. M. Rickard |
title_full_unstemmed | Maple V - learning guide K. M. Heal ; M. L. Hansen ; K. M. Rickard |
title_short | Maple V - learning guide |
title_sort | maple v learning guide |
topic | Maple (Computer file) Linguagens de programacao (geral) larpcal Maple (computerprogramma) gtt Mathématiques - Informatique Mathématiques - Logiciels Datenverarbeitung Algebra 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) Linguagens de programacao (geral) Maple (computerprogramma) Mathématiques - Informatique Mathématiques - Logiciels Datenverarbeitung Algebra 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=007078650&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
work_keys_str_mv | AT healkm maplevlearningguide AT hansenml maplevlearningguide AT rickardkm maplevlearningguide |