Introduction to Maple:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York [u.a.]
Springer
1993
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. [469] - 478 |
| Physical Description: | XIII, 497 S. Ill., graph. Darst. |
| ISBN: | 0387976620 3540976620 |
Staff View
MARC
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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 |
| 264 | 1 | |a New York [u.a.] |b Springer |c 1993 | |
| 300 | |a XIII, 497 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
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Record in the Search Index
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| adam_text |
Contents
Preface v
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 4
1 4 Advantages of Computer Algebra 11
1 5 Limitations of Computer Algebra 22
1 6 Maple 26
2 The First Steps: Calculus on Numbers 31
2 1 Getting Started 31
2 2 Getting Help 34
2 3 Integers and Rational Numbers 38
2 4 Irrational Numbers and Floating-Point Numbers 42
2 5 Algebraic Numbers 49
2 6 Complex Numbers 52
2 7 Exercises 55
3 Variables and Names 57
3 1 Assignment and Evaluation 57
3 2 Unassignment 60
3 3 Full Evaluation 65
3 4 Names of Variables 69
3 5 Basic Data Types 72
3 6 Exercises 74
X Contents
4 Getting Around with Maple 79
4 1 Input and Output 79
4 2 The Maple Library 84
4 3 Reading and Writing Files 87
4 4 Formatted I/O 92
4 5 Code Generation 97
4 6 Changing Maple to your own Taste 101
4 7 Exercises 104
5 Polynomials and Rational Functions 107
5 1 Univariate Polynomials 107
5 2 Multivariate Polynomials 113
5 3 Rational Functions 115
5 4 Conversions 117
5 5 Exercises 119
6 Internal Data Representation and Substitution 121
6 1 Internal Representation of Polynomials 121
6 2 Generalized Rational Expressions 127
6 3 Substitution 129
6 4 Exercises 139
7 Manipulation of Polynomials and Rational Expressions 141
7 1 Expansion 141
7 2 Factorization 144
7 3 Canonical Form and Normal Form 147
7 4 Normalization 149
7 5 Collection 152
7 6 Sorting 154
7 7 Exercises 155
8 Functions 157
8 1 Mathematical Functions 157
8 2 Arrow Operators 160
8 3 Maple Procedures 164
8 4 Recursive Procedure Definitions 166
8 5 unapply 171
8 6 Operations on Functions 173
8 7 Anonymous Functions 174
8 8 Exercises 174
Contents XI
9 Differentiation 177
9 1 Symbolic Differentiation 177
9 2 Automatic Differentiation 186
9 3 Exercises 190
10 Integration and Summation 193
10 1 Indefinite Integration 193
10 2 Definite Integration 202
10 3 Numerical Integration 208
10 4 Integral Transforms 208
10 5 Assisting Maple’s Integrator 217
10 6 Summation 221
10 7 Exercises 223
11 Truncated Series Expansions, Power Series, and Limits 227
11 1 Truncated Series Expansions 227
11 2 Power Series 237
11 3 Limits 241
11 4 Exercises 243
12 Composite Data Types 245
12 1 Sequence 245
12 2 Set 248
12 3 List 250
12 4 Array 254
12 5 convert and map 260
12 6 Exercises 263
13 Simplification 265
13 1 Automatic Simplification 265
13 2 expand 268
13 3 combine 273
13 4 simplify 275
13 5 convert 279
13 6 Trigonometric Simplification 281
13 7 Simplification wrt Side Relations 283
13 8 Exercises 287
Contents
14 Graphics 291
14 1 Some Basic Two-Dimensional Plots 291
14 2 Options of plot 296
14 3 The Structure of Two-Dimensional Graphics 302
14 4 Special Two-Dimensional Plots 306
14 5 Plot Aliasing 315
14 6 A Common Mistake 315
14 7 Some Basic Three-Dimensional Plots 317
14 8 Options of plot3d 318
14 9 The Structure of Three-Dimensional Graphics 322
14 10 Special Three-Dimensional Plots 325
14 11 Animation 332
14 12 Exercises 335
15 Solving Equations 339
15 1 Equations in One Unknown 339
15 2 Abbreviations in solve 341
15 3 Some Difficulties 341
15 4 Systems of Equations 344
15 5 The Grobner Basis Method 352
15 6 Numerical Solvers 359
15 7 Other Solvers in Maple 361
15 8 Exercises 367
16 Differential Equations 369
16 1 First Glance at ODEs 369
16 2 Analytic Solutions 370
16 3 Taylor Series Method • 380
16 4 Power Series Method 383
16 5 Numerical Solutions 386
16 6 Perturbation Methods 396
16 7 Liesymm 413
16 8 Exercises 417
17 Linear Algebra: Basics 419
17 1 Basic Operations on Matrices 419
17 2 Last Name Evaluation 423
17 3 The Linear Algebra Package 428
17 4 Exercises 433
xii
Contents
18 Linear Algebra: Applications 435
18 1 Kinematics of the Stanford Manipulator 435
18 2 A 3-Compartment Model of Cadmium Transfer 442
18 3 Molecular-orbital Hiickel Theory 456
18 4 Prolate Spheroidal Coordinates 462
18 5 Moore-Penrose Inverse 465
18 6 Exercises 466
Bibliography 469
Index 479
xiii |
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| discipline | Informatik Mathematik |
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| indexdate | 2025-03-20T19:10:14Z |
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| isbn | 0387976620 3540976620 |
| language | English |
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| physical | XIII, 497 S. Ill., graph. Darst. |
| publishDate | 1993 |
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| spelling | Heck, André Verfasser (DE-588)1317603826 aut Introduction to Maple André Heck New York [u.a.] Springer 1993 XIII, 497 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Literaturverz. S. [469] - 478 Maple (Computer file) Algèbre - Informatique Maple (computerprogramma) gtt Mathématiques - Informatique Datenverarbeitung Algebra -- Data processing Maple V 4.0 (DE-588)4407788-9 gnd rswk-swf Maple Programm (DE-588)4209397-1 gnd rswk-swf Computeralgebra (DE-588)4010449-7 gnd rswk-swf Maple V 4.0 (DE-588)4407788-9 s DE-604 Computeralgebra (DE-588)4010449-7 s Maple Programm (DE-588)4209397-1 s DE-188 HEBIS Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005286237&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Heck, André Introduction to Maple Maple (Computer file) Algèbre - Informatique Maple (computerprogramma) gtt Mathématiques - Informatique Datenverarbeitung Algebra -- Data processing Maple V 4.0 (DE-588)4407788-9 gnd Maple Programm (DE-588)4209397-1 gnd Computeralgebra (DE-588)4010449-7 gnd |
| subject_GND | (DE-588)4407788-9 (DE-588)4209397-1 (DE-588)4010449-7 |
| 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) Algèbre - Informatique Maple (computerprogramma) gtt Mathématiques - Informatique Datenverarbeitung Algebra -- Data processing Maple V 4.0 (DE-588)4407788-9 gnd Maple Programm (DE-588)4209397-1 gnd Computeralgebra (DE-588)4010449-7 gnd |
| topic_facet | Maple (Computer file) Algèbre - Informatique Maple (computerprogramma) Mathématiques - Informatique Datenverarbeitung Algebra -- Data processing Maple V 4.0 Maple Programm Computeralgebra |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005286237&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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