Linear algebra with Mathematica:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Pacific Grove, Calif. u.a.
Brooks/Cole
1995
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| Series: | Brooks/Cole symbolic computation series
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XI, 174 S. graph. Darst. |
| ISBN: | 0534130682 |
Staff View
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| 245 | 1 | 0 | |a Linear algebra with Mathematica |c Eugene W. Johnson |
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Record in the Search Index
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| adam_text | LINEAR ALGEBRA WITH MATHEMATICAL EUGENE W. JOHNSON UNIVERSITY OF IOWA M
BROOKS/COLE PUBLISHING COMPANY I(T)P* AN INTERNATIONAL THOMSON
PUBLISHING COMPANY PACIFIC GROVE * ALBANY * BONN * BOSTON * CINCINNATI *
DETROIT * LONDON * MADRID * MELBOURNE MEXICO CITY * NEW YORK * PARIS *
SAN FRANCISCO * SINGAPORE * TOKYO * TORONTO * WASHINGTON CONTENTS U
INTRODUCTION 0.1 GETTING STARTED WITH MATHEMATICA 2 0.2 EDITING, SAVING,
AND RETRIEVING YOUR WORK 2 0.3 AN INTRODUCTORY TOUR OF MATHEMATICA 3
0.3.1 ARITHMETIC IN MATHEMATICA 3 EXACT CALCULATIONS WITH MATHEMATICA 3
APPROXIMATE CALCULATIONS 6 0.3.2 PROMPTS AND LABELS 7 0.3.3 PREVIOUS
RESULTS 7 0.3.4 ASSIGNING YOUR OWN NAMES 8 0.3.5 MULTIPLE-LINE COMMANDS
9 0.3.6 THE COMMAND SEPARATOR AND SILENT TERMINATOR 10 0.3.7 GETTING
HELP 11 0.3.8 BUILT-IN FUNCTIONS AND CONSTANTS 11 0.3.9 CHANGING
ASSIGNMENTS 12 SOME SPECIAL OPERATORS IN MATHEMATICA 13 0.3.10 DELAYED
ASSIGNMENTS 14 0.3.11 EXTENDING MATHEMATICA 15 0.3.12 BRANCHING AND
MULTIPART FUNCTIONS 17 0.3.13 EQUATIONS 18 0.3.14 APPROXIMATE SOLUTIONS
19 0.3.15 CALCULUS WITH MATHEMATICA 21 0.3.16 GRAPHING IN MATHEMATICA 23
VU VIII CONTENTS 0.3.17 OBJECT TYPES IN MATHEMATICA 25 0.3.18
SUBSTITUTION AND REPLACEMENT 27 0.3.19 AUTOMATING REPETITIVE PROCEDURES:
LOOPS 28 0.3.20 SUMS AND PRODUCTS 30 0.3.21 SIMPLIFICATION AND
EVALUATION 30 0.3.22 PARTS OF THINGS 31 0.3.23 QUITTING A MATHEMATICA
SESSION 33 EXERCISES 33 1 MATRICES AND LINEAR SYSTEMS 35 1.1 THE
PACKAGES 35 1.2 MATRICES, GAUSSIAN ELIMINATION, AND ROW-REDUCTION 35
1.2.1 MANUAL ROW-REDUCTION 36 1.2.2 AUTOMATED ROW-REDUCTION 39 EXERCISES
1.2 43 1.3 MORE ON MATRICES IN MATHEMATICA 44 EDITING MATRICES 46
AUTOMATIC MATRIXFORM 47 EXERCISES 1.3 47 1.4 MATRIX ARITHMETIC 48 1.4.1
A FEW PITFALLS TO AVOID 49 1.4.2 LEGAL NAMES 50 1.4.3 RANDOM MATRICES 50
1.4.4 SYMBOLIC MATRICES 51 EXERCISES 1.4 53 1.5 DET AND OTHER BUILT-IN
MATRIX FUNCTIONS 55 EXERCISES 1.5 56 1.6 APPLICATIONS 57 CURVE FITTING
AND INTERPOLATION 57 PROBLEMS ON CURVE FITTING 60 LEONTIEF ECONOMIC
MODEL 61 PROBLEMS ON THE LEONTIEF MODEL 63 PROBLEMS ON MATRIX ARITHMETIC
64 CONTENTS IX INCIDENCE MATRICES 64 PROBLEMS ON INCIDENCE MATRICES 66
CODING THEORY 67 PROBLEMS ON CODING THEORY 70 2 THE ALGEBRA OF VECTORS
71 2.1 INTRODUCTION TO VECTORS IN MATHEMATICA 71 2.1.1 DEFINING VECTORS
IN MATHEMATICA 71 EDITING VECTORS 72 2.1.2 VECTOR ARITHMETIC 73 2.1.3
WORKING WITH PARTS OF VECTORS AND MATRICES 75 TAKING THINGS APART 76
PUTTING THINGS TOGETHER 76 2.1.4 SOLVING LINEAR MATRIX/VECTOR EQUATIONS
78 EXERCISES 2.1 80 2.2 THE SOLUTIONS OF A HOMOGENEOUS LINEAR SYSTEM 82
EXERCISES 2.2 83 2.3 SPAN AND LINEAR INDEPENDENCE 83 EXERCISES 2.3 85
2.4 BASES, DIMENSION, AND COORDINATES 86 COORDINATIZATION 88 CHANGE OF
COORDINATES 89 EXERCISES 2.4 89 2.5 SUBSPACES ASSOCIATED WITH A MATRIX
90 EXERCISES 2.5 91 2.6 THE GRAM-SCHMIDT PROCEDURE 91 EXERCISES 2.6 94
2.7 APPLICATIONS 95 STABILITY AND STEADY-STATE VECTORS 95 PROBLEMS ON
STEADY-STATE VECTORS 98 ORTHOGONAL PROJECTION 99 PROBLEMS ON ORTHOGONAL
PROJECTION 100 CONTENTS CURVE FITTING WITH TOO MANY POINTS 101 PROBLEMS
ON CURVE FITTING 105 CURVE FITTING WITH OTHER INNER PRODUCTS 105
PROBLEMS ON CURVE FITTING WITH OTHER INNER PRODUCTS 106 EIGENSPACES 108
3.1 EIGENVALUES AND EIGENVECTORS 108 EXERCISES 3.1 111 3.2 SIMILARITY
AND DIAGONALIZATION 112 EXERCISES 3.2 116 3.3 DEALING WITH DIFFICULT
RADICALS 117 EXERCISES 3.3 121 3.4 TRIANGULARIZATION 121 EXERCISES 3.4
125 3.5 AUTOMATING THE PROCESSES 125 EXERCISES 3.5 129 3.6 ORTHOGONAL
DIAGONALIZATION 130 EXERCISES 3.6 131 3.7 APPLICATIONS 131 SYSTEMS OF
LINEAR DIFFERENTIAL EQUATIONS 131 EXERCISES ON SYSTEMS OF DIFFERENTIAL
EQUATIONS 135 PROBLEMS ON DIFFERENTIAL EQUATIONS 136 THE MATRIX
EXPONENTIAL FUNCTION 138 EXERCISES ON THE MATRIX EXPONENTIAL FUNCTION
139 PROBLEMS ON THE MATRIX EXPONENTIAL 140 SYSTEMS OF RECURRENCE
RELATIONS 140 PROBLEMS ON LINEAR RECURRENCE SYSTEMS 146 QUADRATIC FORMS:
THE PRINCIPAL AXIS THEOREM 147 EXERCISES ON QUADRATICS 148 LINEAR
TRANSFORMATIONS 149 4.1 LINEAR TRANSFORMATIONS IN MATHEMATICA 149
EXERCISES 4.1 150 CONTENTS XI 4.2 MATRICES AND LINEAR TRANSFORMATIONS
151 ; EXERCISES 4.2 155 4.3 APPLICATIONS 156 THE DIFFERENTIAL OPERATORS
156 THE WRONSKIAN 159 INITIAL CONDITIONS 160 EXERCISES ON DIFFERENTIAL
OPERATORS 162 PROBLEMS ON DIFFERENTIAL OPERATORS 163 LINEAR RECURRENCE
RELATIONS AND THE SHIFT OPERATOR 164 THE CASORATIAN 167 INITIAL
CONDITIONS 169 EXERCISES ON RECURRENCE RELATIONS 171 PROBLEMS ON
RECURRENCE RELATIONS 171 INDEX 173
|
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| author | Johnson, Eugene W. |
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| bvnumber | BV010630662 |
| callnumber-first | Q - Science |
| callnumber-label | QA185 |
| callnumber-raw | QA185.D37 |
| callnumber-search | QA185.D37 |
| callnumber-sort | QA 3185 D37 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | ST 601 |
| classification_tum | DAT 306f MAT 150f |
| ctrlnum | (OCoLC)31374132 (DE-599)BVBBV010630662 |
| dewey-full | 512/.5/078 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.5/078 |
| dewey-search | 512/.5/078 |
| dewey-sort | 3512 15 278 |
| dewey-tens | 510 - Mathematics |
| discipline | Informatik Mathematik |
| format | Book |
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| id | DE-604.BV010630662 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T17:56:16Z |
| institution | BVB |
| isbn | 0534130682 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007091790 |
| oclc_num | 31374132 |
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| owner | DE-91 DE-BY-TUM |
| owner_facet | DE-91 DE-BY-TUM |
| physical | XI, 174 S. graph. Darst. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | Brooks/Cole |
| record_format | marc |
| series2 | Brooks/Cole symbolic computation series |
| spelling | Johnson, Eugene W. Verfasser aut Linear algebra with Mathematica Eugene W. Johnson Pacific Grove, Calif. u.a. Brooks/Cole 1995 XI, 174 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Brooks/Cole symbolic computation series Mathematica (Computer file) Datenverarbeitung Algebras, Linear Data processing Lineare Algebra (DE-588)4035811-2 gnd rswk-swf Mathematica Programm (DE-588)4268208-3 gnd rswk-swf Mathematica Programm (DE-588)4268208-3 s Lineare Algebra (DE-588)4035811-2 s DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007091790&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Johnson, Eugene W. Linear algebra with Mathematica Mathematica (Computer file) Datenverarbeitung Algebras, Linear Data processing Lineare Algebra (DE-588)4035811-2 gnd Mathematica Programm (DE-588)4268208-3 gnd |
| subject_GND | (DE-588)4035811-2 (DE-588)4268208-3 |
| title | Linear algebra with Mathematica |
| title_auth | Linear algebra with Mathematica |
| title_exact_search | Linear algebra with Mathematica |
| title_full | Linear algebra with Mathematica Eugene W. Johnson |
| title_fullStr | Linear algebra with Mathematica Eugene W. Johnson |
| title_full_unstemmed | Linear algebra with Mathematica Eugene W. Johnson |
| title_short | Linear algebra with Mathematica |
| title_sort | linear algebra with mathematica |
| topic | Mathematica (Computer file) Datenverarbeitung Algebras, Linear Data processing Lineare Algebra (DE-588)4035811-2 gnd Mathematica Programm (DE-588)4268208-3 gnd |
| topic_facet | Mathematica (Computer file) Datenverarbeitung Algebras, Linear Data processing Lineare Algebra Mathematica Programm |
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