The theory of matrices:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York
Chelsea Publ. Co.
1962 ca.
|
| Ausgabe: | Corr. repr. of 1. ed. |
| Schriftenreihe: | Ergebnisse der Mathematik und ihrer Grenzgebiete
2,5 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | V, 110 S. |
Internformat
MARC
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| 100 | 1 | |a MacDuffee, Cyrus C. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a The theory of matrices |c Cyrus Colton MacDuffee* |
| 250 | |a Corr. repr. of 1. ed. | ||
| 264 | 1 | |a New York |b Chelsea Publ. Co. |c 1962 ca. | |
| 300 | |a V, 110 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Ergebnisse der Mathematik und ihrer Grenzgebiete |v 2,5 | |
| 650 | 4 | |a MATRICES | |
| 650 | 0 | 7 | |a Theorie |0 (DE-588)4059787-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Matrizenrechnung |0 (DE-588)4126963-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Matrix |g Mathematik |0 (DE-588)4037968-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Matrizentheorie |0 (DE-588)4128970-5 |2 gnd |9 rswk-swf |
| 655 | 7 | |a Matrices |2 gnd |9 rswk-swf | |
| 689 | 0 | 0 | |a Matrizentheorie |0 (DE-588)4128970-5 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Matrices |A f |
| 689 | 1 | 1 | |a Theorie |0 (DE-588)4059787-8 |D s |
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| 689 | 2 | 0 | |a Matrizenrechnung |0 (DE-588)4126963-9 |D s |
| 689 | 2 | |8 1\p |5 DE-604 | |
| 689 | 3 | 0 | |a Matrix |g Mathematik |0 (DE-588)4037968-1 |D s |
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| 883 | 1 | |8 2\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
Datensatz im Suchindex
| _version_ | 1804117207395860480 |
|---|---|
| adam_text | CONTENTS
PAGE
I.
MATRICES,
ARRAYS
AND
DETERMINANTS
................
1
1.
LINEAR
ALGEBRA
.......................
1
2.
REPRESENTATION
BY
ORDERED
SETS...............
1
3.
TOTAL
MATRIC
ALGEBRA....................
2
4.
DIAGONAL
AND
SCALAR
MATRICES................
5
5.
TRANSPOSE.
SYMMETRIC
AND
SKEW
MATRICES...........
5
6.
DETERMINANTS........................
6
7.
PROPERTIES
OF
DETERMINANTS.................
8
8.
RANK
AND
NULLITY......................10
9.
IDENTITIES
AMONG
MINORS..................12
10.
REDUCIBILITY........................14
11.
ARRAYS
AND
DETERMINANTS
OF
HIGHER
DIMENSION.........15
12.
MATRICES
IN
NON-COMMUTATIVE
SYSTEMS.............16
II.
THE
CHARACTERISTIC
EQUATION....................17
13.
THE
MINIMUM
EQUATION...................17
14.
THE
CHARACTERISTIC
EQUATION.................17
15.
DETERMINATION
OF
THE
MINIMUM
EQUATION...........20
16.
CHARACTERISTIC
ROOTS.....................22
17.
CONJUGATE
SETS.......................24
18.
LIMITS
FOR
THE
CHARACTERISTIC
ROOTS..............25
19.
CHARACTERISTIC
ROOTS
OF
UNITARY
MATRICES............28
III.
ASSOCIATED
INTEGRAL
MATRICES...................29
20.
MATRICES
WITH
ELEMENTS
IN
A
PRINCIPAL
IDEAL
RING........29
21.
CONSTRUCTION
OF
UNIMODULAR
MATRICES.............31
22.
ASSOCIATED
MATRICES.....................31
23.
GREATEST
COMMON
DIVISORS..................35
24.
LINEAR
FORM
MODULS....................37
25.
IDEALS...........................38
IV.
EQUIVALENCE..........................40
26.
EQUIVALENT
MATRICES....................40
27.
INVARIANT
FACTORS
AND
ELEMENTARY
DIVISORS
...........
43
28.
FACTORIZATION
OF
A
MATRIX..................44
29.
POLYNOMIAL
DOMAINS.....................45
30.
EQUIVALENT
PAIRS
OF
MATRICES.................48
31.
AUTOMORPHIC
TRANSFORMATIONS................
50
V.
CONGRUENCE...........................51
32.
MATRICES
WITH
ELEMENTS
IN
A
PRINCIPAL
IDEAL
RING........51
33-
MATRICES
WITH
RATIONAL
INTEGRAL
ELEMENTS...........54
34.
MATRICES
WITH
ELEMENTS
IN
A
FIELD..............56
35.
MATRICES
IN
AN
ALGEBRAICALLY
CLOSED
FIELD............60
36.
HERMITIAN
MATRICES.....................62
37.
AUTOMORPHS.................
65
CONTENTS.
V
PAGE
VI.
SIMILARITY...........................68
38.
SIMILAR
MATRICES......................68
39.
MATRICES
WITH
ELEMENTS
IN
A
FIELD..............69
40.
WEYR*S
CHARACTERISTIC....................73
41.
UNITARY
AND
ORTHOGONAL
EQUIVALENCE.............75
42.
THE
STRUCTURE
OF
UNITARY
AND
ORTHOGONAL
MATRICES.......78
VII.
COMPOSITION
OF
MATRICES.....................81
43.
DIRECT
SUM
AND
DIRECT
PRODUCT...............81
44.
PRODUCT-MATRICES
AND
POWER-MATRICES.............85
45.
ADJUGATES.........................86
VIII.
MATRIC
EQUATIONS........................89
46.
THE
GENERAL
LINEAR
EQUATION.................89
47.
SCALAR
EQUATIONS......................94
48.
THE
UNILATERAL
EQUATION..................95
IX.
FUNCTIONS
OF
MATRICES......................97
49.
POWER
SERIES
IN
MATRICES...................97
50.
FUNCTIONS
OF
MATRICES....................99
51.
MATRICES
WHOSE
ELEMENTS
ARE
FUNCTIONS
OF
COMPLEX
VARIABLES
.
.
101
52.
DERIVATIVES
AND
INTEGRALS
OF
MATRICES.............102
X.
MATRICES
OF
INFINITE
ORDER.....................104
53-
INFINITE
DETERMINANTS....................104
54.
INFINITE
MATRICES......................106
55.
A
MATRIC
ALGEBRA
OF
INFINITE
ORDER..............106
56.
BOUNDED
MATRICES......................108
57-
MATRICES
WITH
A
NON-DENUMERABLE
NUMBER
OF
ROWS
AND
COLUMS
.
110
|
| any_adam_object | 1 |
| author | MacDuffee, Cyrus C. |
| author_facet | MacDuffee, Cyrus C. |
| author_role | aut |
| author_sort | MacDuffee, Cyrus C. |
| author_variant | c c m cc ccm |
| building | Verbundindex |
| bvnumber | BV002913253 |
| classification_rvk | QH 140 SK 220 |
| ctrlnum | (OCoLC)225020589 (DE-599)BVBBV002913253 |
| discipline | Mathematik Wirtschaftswissenschaften |
| edition | Corr. repr. of 1. ed. |
| format | Book |
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| genre | Matrices gnd |
| genre_facet | Matrices |
| id | DE-604.BV002913253 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:50:44Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001823884 |
| oclc_num | 225020589 |
| open_access_boolean | |
| owner | DE-384 DE-355 DE-BY-UBR DE-824 |
| owner_facet | DE-384 DE-355 DE-BY-UBR DE-824 |
| physical | V, 110 S. |
| publishDate | 1962 |
| publishDateSearch | 1962 |
| publishDateSort | 1962 |
| publisher | Chelsea Publ. Co. |
| record_format | marc |
| series | Ergebnisse der Mathematik und ihrer Grenzgebiete |
| series2 | Ergebnisse der Mathematik und ihrer Grenzgebiete |
| spelling | MacDuffee, Cyrus C. Verfasser aut The theory of matrices Cyrus Colton MacDuffee* Corr. repr. of 1. ed. New York Chelsea Publ. Co. 1962 ca. V, 110 S. txt rdacontent n rdamedia nc rdacarrier Ergebnisse der Mathematik und ihrer Grenzgebiete 2,5 MATRICES Theorie (DE-588)4059787-8 gnd rswk-swf Matrizenrechnung (DE-588)4126963-9 gnd rswk-swf Matrix Mathematik (DE-588)4037968-1 gnd rswk-swf Matrizentheorie (DE-588)4128970-5 gnd rswk-swf Matrices gnd rswk-swf Matrizentheorie (DE-588)4128970-5 s DE-604 Matrices f Theorie (DE-588)4059787-8 s Matrizenrechnung (DE-588)4126963-9 s 1\p DE-604 Matrix Mathematik (DE-588)4037968-1 s 2\p DE-604 Ergebnisse der Mathematik und ihrer Grenzgebiete 2,5 (DE-604)BV020546983 2,5 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001823884&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | MacDuffee, Cyrus C. The theory of matrices Ergebnisse der Mathematik und ihrer Grenzgebiete MATRICES Theorie (DE-588)4059787-8 gnd Matrizenrechnung (DE-588)4126963-9 gnd Matrix Mathematik (DE-588)4037968-1 gnd Matrizentheorie (DE-588)4128970-5 gnd |
| subject_GND | (DE-588)4059787-8 (DE-588)4126963-9 (DE-588)4037968-1 (DE-588)4128970-5 |
| title | The theory of matrices |
| title_auth | The theory of matrices |
| title_exact_search | The theory of matrices |
| title_full | The theory of matrices Cyrus Colton MacDuffee* |
| title_fullStr | The theory of matrices Cyrus Colton MacDuffee* |
| title_full_unstemmed | The theory of matrices Cyrus Colton MacDuffee* |
| title_short | The theory of matrices |
| title_sort | the theory of matrices |
| topic | MATRICES Theorie (DE-588)4059787-8 gnd Matrizenrechnung (DE-588)4126963-9 gnd Matrix Mathematik (DE-588)4037968-1 gnd Matrizentheorie (DE-588)4128970-5 gnd |
| topic_facet | MATRICES Theorie Matrizenrechnung Matrix Mathematik Matrizentheorie Matrices |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001823884&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV020546983 |
| work_keys_str_mv | AT macduffeecyrusc thetheoryofmatrices |