Interactive linear algebra with Maple V:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York <<u.a.>>
Springer
1998
|
| Schriftenreihe: | Textbooks in mathematical sciences
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIII, 316 S. 1 CD-ROM (12 cm) |
| ISBN: | 038798240X |
Internformat
MARC
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| 245 | 1 | 0 | |a Interactive linear algebra with Maple V |c Elias Deeba ; Ananda Gunawardena |
| 264 | 1 | |a New York <<u.a.>> |b Springer |c 1998 | |
| 300 | |a XIII, 316 S. |e 1 CD-ROM (12 cm) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Textbooks in mathematical sciences | |
| 630 | 0 | 4 | |a Maple (Computer file) |
| 650 | 7 | |a Computergestuurd onderwijs |2 gtt | |
| 650 | 7 | |a Lineaire algebra |2 gtt | |
| 650 | 7 | |a Maple (computerprogramma) |2 gtt | |
| 650 | 4 | |a Algebras, Linear |x Computer-assisted instruction | |
| 650 | 0 | 7 | |a Lineare Algebra |0 (DE-588)4035811-2 |2 gnd |9 rswk-swf |
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| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Gunawardena, Ananda |e Verfasser |4 aut | |
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Datensatz im Suchindex
| _version_ | 1804126653572448256 |
|---|---|
| adam_text | Contents
Preface ix
Unit One Systems of Linear Equations 1
Lesson 1.1 Examples of Systems of Linear Equations 2
Lesson 1.2 Consistent and Inconsistent Systems 7
Lesson 1.3 Equivalent Systems and Elementary Row Operations 12
Lesson 1.4 Matrix Representation of Linear Systems 16
Lesson 1.5 Basic Linear Algebra Algorithms 19
Supervised Lab 1.1 Graphical Representations 25
Supervised Lab 1.2 Conditions for Consistent Systems 29
Application 1.1 Nutrition Model 32
Application 1.2 Oil Refinery Model 34
Unit Two Matrix Algebra 37
Lesson 2.1 Algebra of Matrices 38
Lesson 2.2 Special Types of Matrices 47
Lesson 2.3 Singular Matrices 52
Lesson 2.4 Matrix Inversion 59
Lesson 2.5 Determinant of a Matrix 63
Lesson 2.6 Adjoint Method 70
Lesson 2.7 LU Decomposition 72
Supervised Lab 2.1 Basic Properties of Matrices 76
Supervised Lab 2.2 Polynomial Equations and Matrices 81
Application 2.1 Airline Connection Problem 86
Application 2.2 Population Dynamics 88
Application 2.3 Neural Network 90
Unit Three Linear Spaces 95
Lesson 3.1 Introduction to Linear Spaces 96
Lesson 3.2 Linear Combination and Spanning 102
Lesson 3.3 Subspaces 108
Lesson 3.4 Linear Independence 112
Lesson 3.5 Basis and Dimension 118
Lesson 3.6 Row Space and Column Space 125
Supervised Lab 3.1 Basic Properties of Linear Spaces 132
Supervised Lab 3.2 Linear Combinations and Independence 135
Supervised Lab 3.3 Basis of a Linear Space 138
Application 3.1 Oil Refinery Revisited 141
Application 3.2 Tournament Matrices 143
Unit Four Inner Product Spaces 145
Lesson 4.1 Inner products 146
Lesson 4.2 Orthogonal Projections 153
Lesson 4.3 Gram Schmidt Orthogonalization 161
Lesson 4.4 QR Decomposition 168
Supervised Lab 4.1 Orthogonal Basis and QR Decomposition 171
Supervised Lab 4.2 Orthogonal Basis and Least Squares Applications 175
Application 4.1 Population Dynamics 178
Application 4.2 Orthogonal Expansions and Signal Processing 180
Unit Five Linear Transformations 185
Lesson 5.1 Introduction to Linear Transformations 186
Lesson 5.2 Kernel and Range of a Linear Transformation 194
Lesson 5.3 Matrix Representation of a Linear Transformation 200
Lesson 5.4 Change of Basis 205
Lesson 5.5 Similarity 211
Supervised Lab 5.1 Kernel and Range of a Linear Transformation 215
Supervised Lab 5.2 Matrix Representation of Linear Transformations 218
Application 5.1 Balancing Chemical Reactions 222
Application 5.2 Management Science: Warehouse Problem 224
Unit Six Eigenspaces 227
Lesson 6.1 Eigenvalues and Eigenvectors 228
Lesson 6.2 Matrix Diagonalization 235
Lesson 6.3 Hermitian Matrices 242
Lesson 6.4 Unitary Matrices 246
Lesson 6.5 Quadratic Forms and Positive Definite Matrices 249
Supervised Lab 6.1 Eigenvalues and Discrete Systems 255
Supervised Lab 6.2 Quadratic Forms 259
Application 6.1 Ecological Model 262
Application 6.2 Shopping Strategy 264
Application 6.3 Concentration of Carbon Dioxide in the Blood 266
Application 6.4 Red Blood Cell Production 268
Proof of Facts 271
Unit One Systems of Linear Equations 271
Unit Two Matrix Algebra 273
Unit Three Linear Spaces 279
Unit Four Inner Product Spaces 287
Unit Five Linear Transformations 291
Unit Six Eigenspaces 299
References 303
Maple and ILAT 305
Index 313
|
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| id | DE-604.BV012056188 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:20:53Z |
| institution | BVB |
| isbn | 038798240X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008159827 |
| oclc_num | 37220922 |
| open_access_boolean | |
| owner | DE-824 DE-83 |
| owner_facet | DE-824 DE-83 |
| physical | XIII, 316 S. 1 CD-ROM (12 cm) |
| publishDate | 1998 |
| publishDateSearch | 1998 |
| publishDateSort | 1998 |
| publisher | Springer |
| record_format | marc |
| series2 | Textbooks in mathematical sciences |
| spelling | Deeba, Elias Verfasser aut Interactive linear algebra with Maple V Elias Deeba ; Ananda Gunawardena New York <<u.a.>> Springer 1998 XIII, 316 S. 1 CD-ROM (12 cm) txt rdacontent n rdamedia nc rdacarrier Textbooks in mathematical sciences Maple (Computer file) Computergestuurd onderwijs gtt Lineaire algebra gtt Maple (computerprogramma) gtt Algebras, Linear Computer-assisted instruction Lineare Algebra (DE-588)4035811-2 gnd rswk-swf Maple V (DE-588)4276266-2 gnd rswk-swf Maple V (DE-588)4276266-2 s Lineare Algebra (DE-588)4035811-2 s DE-604 Gunawardena, Ananda Verfasser aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008159827&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Deeba, Elias Gunawardena, Ananda Interactive linear algebra with Maple V Maple (Computer file) Computergestuurd onderwijs gtt Lineaire algebra gtt Maple (computerprogramma) gtt Algebras, Linear Computer-assisted instruction Lineare Algebra (DE-588)4035811-2 gnd Maple V (DE-588)4276266-2 gnd |
| subject_GND | (DE-588)4035811-2 (DE-588)4276266-2 |
| title | Interactive linear algebra with Maple V |
| title_auth | Interactive linear algebra with Maple V |
| title_exact_search | Interactive linear algebra with Maple V |
| title_full | Interactive linear algebra with Maple V Elias Deeba ; Ananda Gunawardena |
| title_fullStr | Interactive linear algebra with Maple V Elias Deeba ; Ananda Gunawardena |
| title_full_unstemmed | Interactive linear algebra with Maple V Elias Deeba ; Ananda Gunawardena |
| title_short | Interactive linear algebra with Maple V |
| title_sort | interactive linear algebra with maple v |
| topic | Maple (Computer file) Computergestuurd onderwijs gtt Lineaire algebra gtt Maple (computerprogramma) gtt Algebras, Linear Computer-assisted instruction Lineare Algebra (DE-588)4035811-2 gnd Maple V (DE-588)4276266-2 gnd |
| topic_facet | Maple (Computer file) Computergestuurd onderwijs Lineaire algebra Maple (computerprogramma) Algebras, Linear Computer-assisted instruction Lineare Algebra Maple V |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008159827&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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