Introduction to Maple:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Springer
1996
|
| Ausgabe: | 2. ed. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XX, 699 S. graph. Darst. |
| ISBN: | 0387945350 |
Internformat
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| 100 | 1 | |a Heck, André |e Verfasser |0 (DE-588)1317603826 |4 aut | |
| 245 | 1 | 0 | |a Introduction to Maple |c André Heck |
| 250 | |a 2. ed. | ||
| 264 | 1 | |a New York [u.a.] |b Springer |c 1996 | |
| 300 | |a XX, 699 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 630 | 0 | 4 | |a Maple (Computer file) |
| 650 | 7 | |a Maple (computerprogramma) |2 gtt | |
| 650 | 4 | |a Datenverarbeitung | |
| 650 | 4 | |a Algebra |x Data processing | |
| 650 | 0 | 7 | |a Maple V 4.0 |0 (DE-588)4407788-9 |2 gnd |9 rswk-swf |
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Datensatz im Suchindex
| _version_ | 1807773652283817984 |
|---|---|
| adam_text |
CONTENTS
PREFACE
TO
THE
SECOND
EDITION
V
PREFACE
TO
THE
FIRST
EDITION
IX
LIST
OF
TABLES
XIX
1
INTRODUCTION
TO
COMPUTER
ALGEBRA
1
1.1
WHAT
IS
COMPUTER
ALGEBRA?
.
1
1.2
COMPUTER
ALGEBRA
SYSTEMS
.
2
1.3
SOME
PROPERTIES
OF
COMPUTER
ALGEBRA
SYSTEMS
.
5
1.4
ADVANTAGES
OF
COMPUTER
ALGEBRA
.
11
1.5
LIMITATIONS
OF
COMPUTER
ALGEBRA
.
24
1.6
DESIGN
OF
MAPLE
.
30
2
THE
FIRST
STEPS:
CALCULUS
ON
NUMBERS
35
2.1
GETTING
STARTED
.
35
2.2
GETTING
HELP
.
38
2.3
INTEGERS
AND
RATIONAL
NUMBERS
.
44
2.4
IRRATIONAL
NUMBERS
AND
FLOATING-POINT
NUMBERS
.
48
2.5
ALGEBRAIC
NUMBERS
.
54
2.6
COMPLEX
NUMBERS
.
59
2.7
EXERCISES
.
63
3
VARIABLES
AND
NAMES
65
3.1
ASSIGNMENT
AND
UNASSIGNMENT
.
65
3.2
EVALUATION
.
73
XIV
CONTENTS
3.3
NAMES
OF
VARIABLES
.
77
3.4
BASIC
DATA
TYPES
.
82
3.5
ATTRIBUTES
.
86
3.6
PROPERTIES
.
87
3.7
EXERCISES
.
92
4
GETTING
AROUND
WITH
MAPLE
95
4.1
MAPLE
INPUT
AND
OUTPUT
.
95
4.2
THE
MAPLE
LIBRARY
.
101
4.3
READING
AND
WRITING
FILES
.
105
4.4
IMPORTING
AND
EXPORTING
NUMERICAL
DATA
.
110
4.5 LOW-LEVEL
I/O
.
113
4.6
CODE
GENERATION
.
123
4.7
CHANGING
MAPLE
TO
YOUR
OWN
TASTE
.
129
4.8
EXERCISES
.
133
5
POLYNOMIALS
AND
RATIONAL
FUNCTIONS
135
5.1
UNIVARIATE
POLYNOMIALS
.
135
5.2
MULTIVARIATE
POLYNOMIALS
.
140
5.3
RATIONAL
FUNCTIONS
.
142
5.4
CONVERSIONS
.
144
5.5
EXERCISES
.
147
6
INTERNAL
DATA
REPRESENTATION
AND
SUBSTITUTION
149
6.1
INTERNAL
REPRESENTATION
OF
POLYNOMIALS
.
149
6.2
GENERALIZED
RATIONAL
EXPRESSIONS
.
155
6.3
SUBSTITUTION
.
158
6.4
EXERCISES
.
170
7
MANIPULATION
OF
POLYNOMIALS
AND
RATIONAL
EXPRESSIONS
173
7.1
EXPANSION
.
173
7.2
FACTORIZATION
.
176
7.3
CANONICAL
FORM
AND
NORMAL
FORM
.
179
7.4
NORMALIZATION
.
181
7.5
COLLECTION
.
183
7.6
SORTING
.
186
7.7
EXERCISES
.
186
8
FUNCTIONS
189
8.1
MATHEMATICAL
FUNCTIONS
.
189
8.2
ARROW
OPERATORS
.
193
8.3
PIECEWISE
DEFINED
FUNCTIONS
.
195
8.4
MAPLE
PROCEDURES
.
202
8.5
RECURSIVE
PROCEDURE
DEFINITIONS
.
204
8.6
UNAPPLY
.
209
CONTENTS
XV
8.7
OPERATIONS
ON
FUNCTIONS
.
210
8.8
ANONYMOUS
FUNCTIONS
.
211
8.9
EXERCISES
.
212
9
DIFFERENTIATION
213
9.1
SYMBOLIC
DIFFERENTIATION
.
213
9.2
AUTOMATIC
DIFFERENTIATION
.
221
9.3
EXERCISES
.
224
10
INTEGRATION
AND
SUMMATION
227
10.1
INDEFINITE
INTEGRATION
.
227
10.2
DEFINITE
INTEGRATION
.
236
10.3
NUMERICAL
INTEGRATION
.
241
10.4
INTEGRAL
TRANSFORMS
.
242
10.5
ASSISTING
MAPLE
'
S
INTEGRATOR
.
252
10.6
SUMMATION
.
256
10.7
EXERCISES
.
261
11
SERIES,
APPROXIMATION,
AND
LIMITS
267
11.1
TRUNCATED
SERIES
.
267
11.2
APPROXIMATION
OF
FUNCTIONS
.
278
11.3
POWER
SERIES
.
285
11.4
LIMITS
.
288
11.5
EXERCISES
.
291
12
COMPOSITE
DATA
TYPES
293
12.1
SEQUENCE
.
293
12.2
SET
.
296
12.3
LIST
.
298
12.4
ARRAY
.
304
12.5
TABLE
.
310
12.6
LAST
NAME
EVALUATION
.
314
12.7
FUNCTION
CALL
.
317
12.8
CONVERSION
BETWEEN
COMPOSITE
DATA
TYPES
.
319
12.9
EXERCISES
.
322
13
THE
ASSUME
FACILITY
325
13.1
THE
NEED
FOR
AN
ASSUME
FACILITY
.
325
13.2
BASICS
OF
ASSUME
.
329
13.3
AN
ALGEBRA
OF
PROPERTIES
.
332
13.4
IMPLEMENTATION
OF
ASSUME
.
335
13.5
EXERCISES
.
340
13.6
HIERARCHY
OF
PROPERTIES
.
340
14
SIMPLIFICATION
343
14.1
AUTOMATIC
SIMPLIFICATION
.
344
XVI
CONTENTS
14.2
EXPAND
.
346
14.3
COMBINE
.
353
14.4
SIMPLIFY
.
358
14.5
CONVERT
.
364
14.6
TRIGONOMETRIC
SIMPLIFICATION
.
367
14.7
SIMPLIFICATION
W.R.T.
SIDE
RELATIONS
.
370
14.8
CONTROL
OVER
SIMPLIFICATION
.
374
14.9
DEFINING
YOUR
OWN
SIMPLIFICATION
ROUTINES
.
378
14.10
EXERCISES
.
383
14.11
SIMPLIFICATION
CHART
.
385
15
GRAPHICS
387
15.1
SOME
BASIC
TWO-DIMENSIONAL
PLOTS
.
389
15.2
OPTIONS
OF
PLOT
.
393
15.3
THE
STRUCTURE
OF
TWO-DIMENSIONAL
GRAPHICS
.
406
15.4
THE
PLOTTOOLS
PACKAGE
.
412
15.5
SPECIAL
TWO-DIMENSIONAL
PLOTS
.
416
15.6
TWO-DIMENSIONAL
GEOMETRY
.
429
15.7
PLOT
ALIASING
.
432
15.8
A
COMMON
MISTAKE
.
433
15.9
SOME
BASIC
THREE-DIMENSIONAL
PLOTS
.
434
15.10
OPTIONS
OF
PLOT3D
.
436
15.11
THE
STRUCTURE
OF
THREE-DIMENSIONAL
GRAPHICS
.
444
15.12
SPECIAL
THREE-DIMENSIONAL
PLOTS
.
449
15.13
DATA
PLOTTING
.
457
15.14
ANIMATION
.
467
15.15
LIST
OF
PLOT
OPTIONS
.
469
15.16
EXERCISES
.
475
16
SOLVING
EQUATIONS
479
16.1
EQUATIONS
IN
ONE
UNKNOWN
.
479
16.2
ABBREVIATIONS
IN
SOLVE
.
480
16.3
SOME
DIFFICULTIES
.
481
16.4
SYSTEMS
OF
EQUATIONS
.
488
16.5
THE
GROBNER
BASIS
METHOD
.
499
16.6
INEQUALITIES
.
505
16.7
NUMERICAL
SOLVERS
.
507
16.8
OTHER
SOLVERS
IN
MAPLE
.
509
16.9
EXERCISES
.
515
17
DIFFERENTIAL
EQUATIONS
519
17.1
FIRST
GLANCE
AT
ODES
.
519
17.2
ANALYTIC
SOLUTIONS
.
520
17.3
TAYLOR
SERIES
METHOD
.
532
17.4
POWER
SERIES
METHOD
.
534
CONTENTS
XVII
17.5
NUMERICAL
SOLUTIONS
.
536
17.6
DETOOLS
.
548
17.7
PERTURBATION
METHODS
.
555
17.8
PARTIAL
DIFFERENTIAL
EQUATIONS
.
567
17.9
LIE
POINT
SYMMETRIES
OF
PDES
.
569
17.10
EXERCISES
.
572
18
LINEAR
ALGEBRA:
THE
LINALG
PACKAGE
575
18.1
LOADING
THE
LINALG
PACKAGE
.
575
18.2
CREATING
NEW
VECTORS
AND
MATRICES
.
576
18.3
VECTOR
AND
MATRIX
ARITHMETIC
.
580
18.4
BASIC
MATRIX
FUNCTIONS
.
584
18.5
STRUCTURAL
OPERATIONS
.
589
18.6
VECTOR
OPERATIONS
.
592
18.7
STANDARD
FORMS
OF
MATRICES
.
592
18.8
EXERCISES
.
597
19
LINEAR
ALGEBRA:
APPLICATIONS
601
19.1
KINEMATICS
OF
THE
STANFORD
MANIPULATOR
.
601
19.2
A
THREE-COMPARTMENT
MODEL
OF
CADMIUM
TRANSFER
.
606
19.3
MOLECULAR-ORBITAL
HIICKEL
THEORY
.
618
19.4
VECTOR
ANALYSIS
.
623
19.5
MOORE-PENROSE
INVERSE
.
631
19.6
EXERCISES
.
633
REFERENCES
635
INDEX
651 |
| any_adam_object | 1 |
| author | Heck, André |
| author_GND | (DE-588)1317603826 |
| author_facet | Heck, André |
| author_role | aut |
| author_sort | Heck, André |
| author_variant | a h ah |
| building | Verbundindex |
| bvnumber | BV011006500 |
| callnumber-first | Q - Science |
| callnumber-label | QA155 |
| callnumber-raw | QA155.7.E4H43 1997 |
| callnumber-search | QA155.7.E4H43 1997 |
| callnumber-sort | QA 3155.7 E4 H43 41997 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | ST 601 |
| classification_tum | DAT 306f |
| ctrlnum | (OCoLC)845161498 (DE-599)BVBBV011006500 |
| dewey-full | 510/.28/55321 510/.285/53 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510/.28/553 21 510/.285/53 |
| dewey-search | 510/.28/553 21 510/.285/53 |
| dewey-sort | 3510 228 3553 221 |
| dewey-tens | 510 - Mathematics |
| discipline | Informatik Mathematik |
| edition | 2. ed. |
| format | Book |
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| id | DE-604.BV011006500 |
| illustrated | Illustrated |
| indexdate | 2024-08-19T00:28:20Z |
| institution | BVB |
| isbn | 0387945350 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007369174 |
| oclc_num | 845161498 |
| open_access_boolean | |
| owner | DE-29T DE-29 DE-92 DE-91G DE-BY-TUM DE-824 DE-739 DE-706 DE-521 DE-634 DE-11 |
| owner_facet | DE-29T DE-29 DE-92 DE-91G DE-BY-TUM DE-824 DE-739 DE-706 DE-521 DE-634 DE-11 |
| physical | XX, 699 S. graph. Darst. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Springer |
| record_format | marc |
| spelling | Heck, André Verfasser (DE-588)1317603826 aut Introduction to Maple André Heck 2. ed. New York [u.a.] Springer 1996 XX, 699 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Maple (Computer file) Maple (computerprogramma) gtt Datenverarbeitung Algebra Data processing Maple V 4.0 (DE-588)4407788-9 gnd rswk-swf Computeralgebra (DE-588)4010449-7 gnd rswk-swf Maple Programm (DE-588)4209397-1 gnd rswk-swf Maple V 4.0 (DE-588)4407788-9 s DE-604 Maple Programm (DE-588)4209397-1 s Computeralgebra (DE-588)4010449-7 s 1\p DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007369174&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 | Heck, André Introduction to Maple Maple (Computer file) Maple (computerprogramma) gtt Datenverarbeitung Algebra Data processing Maple V 4.0 (DE-588)4407788-9 gnd Computeralgebra (DE-588)4010449-7 gnd Maple Programm (DE-588)4209397-1 gnd |
| subject_GND | (DE-588)4407788-9 (DE-588)4010449-7 (DE-588)4209397-1 |
| title | Introduction to Maple |
| title_auth | Introduction to Maple |
| title_exact_search | Introduction to Maple |
| title_full | Introduction to Maple André Heck |
| title_fullStr | Introduction to Maple André Heck |
| title_full_unstemmed | Introduction to Maple André Heck |
| title_short | Introduction to Maple |
| title_sort | introduction to maple |
| topic | Maple (Computer file) Maple (computerprogramma) gtt Datenverarbeitung Algebra Data processing Maple V 4.0 (DE-588)4407788-9 gnd Computeralgebra (DE-588)4010449-7 gnd Maple Programm (DE-588)4209397-1 gnd |
| topic_facet | Maple (Computer file) Maple (computerprogramma) Datenverarbeitung Algebra Data processing Maple V 4.0 Computeralgebra Maple Programm |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007369174&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT heckandre introductiontomaple |