Linear algebra with Maple V: [compatible with release 2 ; student, academic, & professional versions]
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Pacific Grove, Calif.
Brooks/Cole
1993
|
| Schriftenreihe: | Brooks/Cole symbolic computation series
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XII, 142 S. |
| ISBN: | 0534130690 |
Internformat
MARC
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| 100 | 1 | |a Johnson, Eugene W. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Linear algebra with Maple V |b [compatible with release 2 ; student, academic, & professional versions] |c Eugene W. Johnson |
| 264 | 1 | |a Pacific Grove, Calif. |b Brooks/Cole |c 1993 | |
| 300 | |a XII, 142 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
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Datensatz im Suchindex
| _version_ | 1804123387776204800 |
|---|---|
| adam_text | Contents
0 Introduction
0.1 Getting Started with Maple 2
0.2 Editing, Saving, and Retrieving Your Work 2
0.3 An Introductory Tour of Maple 2
0.3.1 Arithmetic 3
0.3.2 Prompts 4
0.3.3 The Terminators in Maple 5
0.3.4 Getting Help 6
0.3.5 Ditto, Ditto, Ditto 6
0.3.6 Built in Functions and Constants 7
0.3.7 Approximate Solutions 7
0.3.8 Assigning Names 8
0.3.9 Unassigning Names 9
0.3.10 Extending Maple 10
0.3.11 Symbolic Calculations with Maple 11
0.3.12 Equations 12
0.3.13 Calculus with Maple 14
0.3.14 Graphing Functions with Maple 15
0.3.15 Other Types of Maple Objects 16
0.3.16 Substitution 18
0.3.17 Automating Repetitive Procedures: Loops 18
0.3.18 Generating Sequences, Sums, and Products 20
0.3.19 Aliases and Macros 21
0.3.20 Simplification and Evaluation 23
0.3.21 Quitting a Maple Session 23
Exercises 24
1 Matrices and Linear Systems 26
1.1 The Linear Algebra Package 26
1.2 Gaussian Elimination and Row Reduction 26
1.2.1 Manual Row Reduction 28
1.2.2 Automated Gaussian Elimination and Back Substitution 30
Exercises 1.2 31
1.3 More on Matrices in Maple 32
Reviewing and Editing Matrix Definitions 34
Exercises 1.3 35
1.4 Matrix Arithmetic 36
1.4.1 A Few Pitfalls to Avoid 39 t
1.4.2 Legal Names 39 .
1.4.3 Random Matrices 41
1.4.4 Symbolic Matrices 41
Exercises 1.4 43
1.5 det and Other Built in Matrix Functions 45
Exercises 1.5 46
1.6 Applications 46
Curve Fitting and Interpolation 46
Problems on Curve Fitting and Interpolation 48
Leontief Economic Model 49
Problems on the Leontief Model 51
Incidence Matrices 51
Problems on Incidence Matrices 53
Coding Theory 55
Problems on Coding Theory 57
2 The Algebra of Vectors 59
2.1 Introduction to Vectors in Maple 59
2.1.1 Defining Vectors in Maple 59
Reviewing and Editing Vector Definitions 60
2.1.2 Vector Arithmetic 60
2.1.3 Cutting and Pasting Vectors and Matrices 62
2.1.4 Solving Linear Matrix/Vector Equations 63
The Solutions of a Homogeneous Linear System 64
Exercises 2.1 65
2.2 Span and Linear Independence 67
Exercises 2.2 69
2.3 Bases, Dimension, and Coordinates 69
Change of Coordinates 71
Exercises 2.3 71
2.4 Subspaces Associated with a Matrix 72
Exercises 2.4 73
2.5 The Gram Schmidt Procedure 74
Exercises 2.5 76
2.6 Applications 76
Stability and Steady state Vectors 76
Problems on Stability and Steady state Vectors 79
Orthogonal Projection 80
Problems on Least Squares 81
Curve Fitting with Too Many Points 82
Problems on Curve Fitting 83
Curve Fitting with Other Inner Products 84
Additional Problems on Curve Fitting 85
•5 Eigenspaces
3.1 Eigenvalues and Eigenvectors 86
Exercises 3.1 90
3.2 Similarity 90
3.2.1 Similarity and Diagonalization 91
Diagonalizing with j ordan 95
Exercises on Diagonalization 96
3.2.2 Similarity and Triangularization 96
Triangularizing with Jordan 98
Exercises on Triangularization 99
3.2.3 Orthogonal Diagonalization 99
Exercises on Orthogonal Diagonalization 100
3.2.4 Similarity, Smith Form, and Frobenius Form 101
Smith Form 101
Frobenius Form 101
Exercises on Smith Form and Frobenius Form 102
3.3 Applications 102
Systems of Linear Differential Equations 102
Exercises on Systems of Linear Differential Equations 104
Problems on Systems of Linear Differential Equations 105
The Exponential Function 107
Exercises on the Exponential Function 110
Problems on the Exponential Function 111
Systems of Recurrence Relations 111
Problems on Systems of Recurrence Relations 114
Quadratic Forms: The Principal Axis Theorem 115
Exercises on Quadratic Forms 116
4 Linear Transformations 118
4.1 Linear Transformations in Maple 118
Exercises 4.1 119
4.2 Matrices and Linear Transformations 120
Exercises 4.2 122
4.3 Applications 123
Differential Equations 123
The Wronskian 125
Initial Conditions 127
Exercises on Differential Equations 128
Problems on Differential Equations 129
Linear Recurrence Relations and Difference Equations 130
The Casoratian 133
Initial Conditions 134
Exercises on Linear Recurrence Relations 136
Problems on Linear Recurrence Relations 136
Index 139
|
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| author | Johnson, Eugene W. |
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| bvnumber | BV009034359 |
| classification_rvk | ST 601 |
| classification_tum | MAT 150f DAT 306f |
| ctrlnum | (OCoLC)312010308 (DE-599)BVBBV009034359 |
| dewey-full | 512/.5/02855369 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.5/02855369 |
| dewey-search | 512/.5/02855369 |
| dewey-sort | 3512 15 72855369 |
| dewey-tens | 510 - Mathematics |
| discipline | Informatik Mathematik |
| format | Book |
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| id | DE-604.BV009034359 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:28:58Z |
| institution | BVB |
| isbn | 0534130690 |
| language | English |
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| physical | XII, 142 S. |
| publishDate | 1993 |
| publishDateSearch | 1993 |
| publishDateSort | 1993 |
| publisher | Brooks/Cole |
| record_format | marc |
| series2 | Brooks/Cole symbolic computation series |
| spelling | Johnson, Eugene W. Verfasser aut Linear algebra with Maple V [compatible with release 2 ; student, academic, & professional versions] Eugene W. Johnson Pacific Grove, Calif. Brooks/Cole 1993 XII, 142 S. txt rdacontent n rdamedia nc rdacarrier Brooks/Cole symbolic computation series Maple V (DE-588)4276266-2 gnd rswk-swf Lineare Algebra (DE-588)4035811-2 gnd rswk-swf Maple V (DE-588)4276266-2 s Lineare Algebra (DE-588)4035811-2 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005976985&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Johnson, Eugene W. Linear algebra with Maple V [compatible with release 2 ; student, academic, & professional versions] Maple V (DE-588)4276266-2 gnd Lineare Algebra (DE-588)4035811-2 gnd |
| subject_GND | (DE-588)4276266-2 (DE-588)4035811-2 |
| title | Linear algebra with Maple V [compatible with release 2 ; student, academic, & professional versions] |
| title_auth | Linear algebra with Maple V [compatible with release 2 ; student, academic, & professional versions] |
| title_exact_search | Linear algebra with Maple V [compatible with release 2 ; student, academic, & professional versions] |
| title_full | Linear algebra with Maple V [compatible with release 2 ; student, academic, & professional versions] Eugene W. Johnson |
| title_fullStr | Linear algebra with Maple V [compatible with release 2 ; student, academic, & professional versions] Eugene W. Johnson |
| title_full_unstemmed | Linear algebra with Maple V [compatible with release 2 ; student, academic, & professional versions] Eugene W. Johnson |
| title_short | Linear algebra with Maple V |
| title_sort | linear algebra with maple v compatible with release 2 student academic professional versions |
| title_sub | [compatible with release 2 ; student, academic, & professional versions] |
| topic | Maple V (DE-588)4276266-2 gnd Lineare Algebra (DE-588)4035811-2 gnd |
| topic_facet | Maple V Lineare Algebra |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005976985&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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