A unified introduction to linear algebra: models, methods, and theory
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York u.a.
Macmillan u.a.
1988
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIII, 540 S. graph. Darst. |
| ISBN: | 0024215805 |
Internformat
MARC
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| 100 | 1 | |a Tucker, Alan |d 1943- |e Verfasser |0 (DE-588)1029531161 |4 aut | |
| 245 | 1 | 0 | |a A unified introduction to linear algebra |b models, methods, and theory |
| 264 | 1 | |a New York u.a. |b Macmillan u.a. |c 1988 | |
| 300 | |a XIII, 540 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 4 | |a Algebras, Linear | |
| 650 | 0 | 7 | |a Lineare Algebra |0 (DE-588)4035811-2 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Lineare Algebra |0 (DE-588)4035811-2 |D s |
| 689 | 0 | |5 DE-604 | |
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Datensatz im Suchindex
| _version_ | 1804116663592812544 |
|---|---|
| adam_text | Contents
Preface
HHHhHh Introductory Models 1
Section 1.1 Mathematical Models 1
Section 1.2 Systems of Linear Equations 11
Section 1.3 Markov Chains and Dynamic Models 21
Section 1.4 Linear Programming and Models Without
Exact Solutions 37
Section 1.5 Arrays of Data and Linear Filtering 48
H|hHH§| Matrices 61
Section 2.1 Examples of Matrices 61
Section 2.2 Matrix Multiplication 71
Section 2.3 0 1 Matrices 98
Section 2.4 Matrix Algebra 112
Section 2.5 Scalar Measures of a Matrix:
Norms and Eigenvalues 127
Section 2.6 Efficient Matrix Computation 141
xi
I Solving Systems of Linear
Equations 157
Section 3.1 Solving Systems of Equations
with Determinants 157
Section 3.2 Solving Systems of Equations
by Elimination 175
Section 3.3 The Inverse of a Matrix 193
Section 3.4 Solving Matrix Problems by Iteration 215
Section 3.5 Numerical Analysis of Systems of Equations 236
I A Sampling of Linear Models 255
Section 4.1 Linear Transformations in Computer Graphics 255
Section 4.2 Linear Regression 272
Section 4.3 Linear Models in the Physical Sciences and
Differential Equations 287
Section 4.4 Markov Chains 303
Section 4.5 Growth Models 321
Section 4.6 Linear Programming 337
Appendix to Section 4.6: Linear Programming Details 359
Section 4.7 Linear Models for Differentiation
and Integration 366
Appendix to Section 4.7: Computing Cubic Spline
Approximations 380
I Abstract Linear Transformations
and Vector Spaces 387
I Theory of Systems of Linear
Equations and Eigenvalue/
Eigenvector Problems 393
Section 5.1 Null Space and Range of a Matrix 393
Section 5.2 Theory of Vector Spaces Associated with
Systems of Equations 413
Section 5.3 Approximate Solutions and Pseudoinverses 433
Section 5.4 Orthogonal Systems 455
Section 5.5 Eigenvector Bases and the Eigenvalue
Decomposition 478
Appendix to Section 5.5: Finding Eigenvalues
and Eigenvectors 499
A Brief History of Matrices
and Linear Algebra 507
Text and Software References 511
Solutions to Odd Numbered
Exercises 515
Index 535
|
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| author | Tucker, Alan 1943- |
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| callnumber-first | Q - Science |
| callnumber-label | QA184 |
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| dewey-full | 512/.5 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.5 |
| dewey-search | 512/.5 |
| dewey-sort | 3512 15 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV002209002 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T15:42:05Z |
| institution | BVB |
| isbn | 0024215805 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001451040 |
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| physical | XIII, 540 S. graph. Darst. |
| publishDate | 1988 |
| publishDateSearch | 1988 |
| publishDateSort | 1988 |
| publisher | Macmillan u.a. |
| record_format | marc |
| spelling | Tucker, Alan 1943- Verfasser (DE-588)1029531161 aut A unified introduction to linear algebra models, methods, and theory New York u.a. Macmillan u.a. 1988 XIII, 540 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Algebras, Linear Lineare Algebra (DE-588)4035811-2 gnd rswk-swf 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=001451040&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Tucker, Alan 1943- A unified introduction to linear algebra models, methods, and theory Algebras, Linear Lineare Algebra (DE-588)4035811-2 gnd |
| subject_GND | (DE-588)4035811-2 |
| title | A unified introduction to linear algebra models, methods, and theory |
| title_auth | A unified introduction to linear algebra models, methods, and theory |
| title_exact_search | A unified introduction to linear algebra models, methods, and theory |
| title_full | A unified introduction to linear algebra models, methods, and theory |
| title_fullStr | A unified introduction to linear algebra models, methods, and theory |
| title_full_unstemmed | A unified introduction to linear algebra models, methods, and theory |
| title_short | A unified introduction to linear algebra |
| title_sort | a unified introduction to linear algebra models methods and theory |
| title_sub | models, methods, and theory |
| topic | Algebras, Linear Lineare Algebra (DE-588)4035811-2 gnd |
| topic_facet | Algebras, Linear Lineare Algebra |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001451040&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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