An engineering approach to linear algebra:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1972
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 304 Seiten graph. Darst. |
| ISBN: | 0521084768 |
Internformat
MARC
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| 245 | 1 | 0 | |a An engineering approach to linear algebra |c W. W. Sawyer |
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 1972 | |
| 300 | |a 304 Seiten |b graph. Darst. | ||
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| 650 | 4 | |a Algèbre linéaire | |
| 650 | 4 | |a Algebras, Linear | |
| 650 | 0 | 7 | |a Lineare Algebra |0 (DE-588)4035811-2 |2 gnd |9 rswk-swf |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-005989208 | ||
Datensatz im Suchindex
| _version_ | 1804123404855410688 |
|---|---|
| adam_text | Contents
Preface page vii
1 Mathematics and engineers 1
2 Mappings 1
3 The nature of the generalization 4
4 Symbolic conditions for linearity 9
5 Graphical representation 12
6 Vectors in a plane 15
7 Bases 17
8 Calculations in a vector space 22
9 Change of axes 25
10 Specification of a linear mapping 28
11 Transformations 33
12 Choice of basis 38
13 Complex numbers 45
14 Calculations with complex numbers 51
15 Complex numbers and trigonometry 55
16 Trigonometry and exponentials 57
17 Complex numbers and convergence 63
18 Complex numbers: terminology 65
19 The logic of complex numbers 66
20 The algebra of transformations 68
21 Subtraction of transformations 73
22 Matrix notation 78
23 An application of matrix multiplication 89
24 An application of linearity 92
25 Procedure for finding invariant lines, eigenvectors and
eigenvalues 99
26 Determinant and inverse 105
27 Properties of determinants 114
28 Matrices other than square; partitions 129
29 Subscript and summation notation 137
30 Row and column vectors 139
31 Afflne and Euclidean geometry 144
32 Scalar products 147
33 Transpose; quadratic forms 156
34 Maximum and minimum principles 161
35 Formal laws of matrix algebra 169
W
vi CONTENTS
36 Orthogonal transformations 176
37 Finding the simplest expressions for quadratic forms 186
38 Principal axes and eigenvectors 198
39 Lines, planes and subspaces; vector product 211
40 Systems of linear equations 235
41 Null space, column space, row space of a matrix 253
42 Illustrating the importance of orthogonal matrices 261
43 Linear programming 266
44 Linear programming, continued 280
Answers
Index
|
| any_adam_object | 1 |
| author | Sawyer, Walter W. 1911-2008 |
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| callnumber-first | Q - Science |
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| callnumber-raw | QA251 TA347.L5 |
| callnumber-search | QA251 TA347.L5 |
| callnumber-sort | QA 3251 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 220 |
| classification_tum | MAT 023f MAT 150f |
| ctrlnum | (OCoLC)554599 (DE-599)BVBBV009049141 |
| dewey-full | 512/.5/02462 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.5/02462 |
| dewey-search | 512/.5/02462 |
| dewey-sort | 3512 15 42462 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T17:29:14Z |
| institution | BVB |
| isbn | 0521084768 |
| language | English |
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| physical | 304 Seiten graph. Darst. |
| publishDate | 1972 |
| publishDateSearch | 1972 |
| publishDateSort | 1972 |
| publisher | Cambridge University Press |
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| spelling | Sawyer, Walter W. 1911-2008 Verfasser (DE-588)123589398 aut An engineering approach to linear algebra W. W. Sawyer Cambridge Cambridge University Press 1972 304 Seiten graph. Darst. txt rdacontent n rdamedia nc rdacarrier Algèbre linéaire 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=005989208&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
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| subject_GND | (DE-588)4035811-2 |
| title | An engineering approach to linear algebra |
| title_auth | An engineering approach to linear algebra |
| title_exact_search | An engineering approach to linear algebra |
| title_full | An engineering approach to linear algebra W. W. Sawyer |
| title_fullStr | An engineering approach to linear algebra W. W. Sawyer |
| title_full_unstemmed | An engineering approach to linear algebra W. W. Sawyer |
| title_short | An engineering approach to linear algebra |
| title_sort | an engineering approach to linear algebra |
| topic | Algèbre linéaire Algebras, Linear Lineare Algebra (DE-588)4035811-2 gnd |
| topic_facet | Algèbre linéaire Algebras, Linear Lineare Algebra |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005989208&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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