Lectures on linear algebra and its applications:
Gespeichert in:
1. Verfasser: | |
---|---|
Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Berlin ; Boston
De Gruyter
[2023]
|
Schriftenreihe: | De Gruyter graduate
|
Schlagworte: | |
Online-Zugang: | https://www.degruyter.com/isbn/9783111085401 Inhaltsverzeichnis Inhaltsverzeichnis |
Beschreibung: | Literaturverzeichnis Seite 246 |
Beschreibung: | VIII, 250 Seiten 24 cm, 449 g |
ISBN: | 9783111085401 3111085406 |
Internformat
MARC
LEADER | 00000nam a2200000 c 4500 | ||
---|---|---|---|
001 | BV049588022 | ||
003 | DE-604 | ||
005 | 20240807 | ||
007 | t | ||
008 | 240227s2023 gw |||| 00||| eng d | ||
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015 | |a 24,A04 |2 dnb | ||
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020 | |a 3111085406 |9 3-11-108540-6 | ||
024 | 3 | |a 9783111085401 | |
035 | |a (OCoLC)1429568364 | ||
035 | |a (DE-599)DNB1294591789 | ||
040 | |a DE-604 |b ger |e rda | ||
041 | 0 | |a eng | |
044 | |a gw |c XA-DE-BE | ||
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084 | |a SK 220 |0 (DE-625)143224: |2 rvk | ||
084 | |8 1\p |a 510 |2 23sdnb | ||
100 | 1 | |a Korman, Philip |d 1951- |e Verfasser |0 (DE-588)1031496696 |4 aut | |
245 | 1 | 0 | |a Lectures on linear algebra and its applications |c Philip Korman |
264 | 1 | |a Berlin ; Boston |b De Gruyter |c [2023] | |
300 | |a VIII, 250 Seiten |c 24 cm, 449 g | ||
336 | |b txt |2 rdacontent | ||
337 | |b n |2 rdamedia | ||
338 | |b nc |2 rdacarrier | ||
490 | 0 | |a De Gruyter graduate | |
500 | |a Literaturverzeichnis Seite 246 | ||
650 | 0 | 7 | |a Lineare Algebra |0 (DE-588)4035811-2 |2 gnd |9 rswk-swf |
650 | 0 | 7 | |a Anwendung |0 (DE-588)4196864-5 |2 gnd |9 rswk-swf |
653 | |a Lineare Algebra | ||
653 | |a Differentialgleichung | ||
653 | |a Differentialgeometrie | ||
653 | |a Eigenvektoren | ||
653 | |a Linear algebra | ||
653 | |a matrix algebra | ||
653 | |a differential equations | ||
653 | |a differential geometry | ||
653 | |a eigenvectors and eigenvalues. | ||
653 | |a TB: Textbook | ||
653 | |a Lineare Algebra; Differentialgleichung; Differentialgeometrie; Eigenvektoren | ||
653 | |a Linear algebra; matrix algebra; differential equations; differential geometry; eigenvectors and eigenvalues. | ||
689 | 0 | 0 | |a Lineare Algebra |0 (DE-588)4035811-2 |D s |
689 | 0 | 1 | |a Anwendung |0 (DE-588)4196864-5 |D s |
689 | 0 | |5 DE-604 | |
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Datensatz im Suchindex
_version_ | 1809766940069068800 |
---|---|
adam_text |
CONTENTS
INTRODUCTION
-
V
1
SYSTEMS
OF
LINEAR
EQUATIONS
-
1
1.1
GAUSSIAN
ELIMINATION
-
1
1.2
USING
MATRICES
-
8
1.2.1
COMPLETE
FORWARD
ELIMINATION
-
13
1.3
VECTOR
INTERPRETATION
OF
LINEAR
SYSTEMS
-
17
1.4
SOLUTION
SET
OF
A
LINEAR
SYSTEM
AX
=
B
-
23
1.5
LINEAR
DEPENDENCE
AND
INDEPENDENCE
-
27
2
MATRIX
ALGEBRA
-
34
2.1
MATRIX
OPERATIONS
-
34
2.2
THE
INVERSE
OF
A
SQUARE
MATRIX
-
39
2.3
LU
DECOMPOSITION
-
47
2.4
SUBSPACES,
BASES,
AND
DIMENSION
-
52
2.5
NULL
AND
COLUMN
SPACES
-
57
3
DETERMINANTS
-
64
3.1
COFACTOR
EXPANSION
-
64
3.2
PROPERTIES
OF
DETERMINANTS
-
67
3.3
CRAMER
'
S
RULE
-
75
3.3.1
VECTOR
PRODUCT
-
78
3.3.2
BLOCK
MATRICES
-
80
4
EIGENVECTORS
AND
EIGENVALUES
-
85
4.1
CHARACTERISTIC
EQUATION
-
85
4.1.1
PROPERTIES
OF
EIGENVECTORS
AND
EIGENVALUES
-
88
4.2
A
COMPLETE
SET
OF
EIGENVECTORS
-
93
4.2.1
COMPLEX
EIGENVALUES
-
96
4.3
DIAGONALIZATION
-
98
5
ORTHOGONALITY
AND
SYMMETRY
-
105
5.1
INNER
PRODUCTS
-
105
5.2
ORTHOGONAL
BASES
-
109
5.3
GRAM-SCHMIDT
ORTHOGONALIZATION
-
117
5.3.1
QR
FACTORIZATION
-
119
5.3.2
ORTHOGONAL
MATRICES
-
121
5.4
LINEAR
TRANSFORMATIONS
-
126
5.5
SYMMETRIC
TRANSFORMATIONS
-
131
VIII
==-
CONTENTS
BIBLIOGRAPHY
-
247
5.6
5.7
QUADRATIC
FORMS
-
140
VECTOR
SPACES
-
149
6
6.1
6.2
6.3
6.4
6.5
6.6
SYSTEMS
OF
DIFFERENTIAL
AND
DIFFERENCE
EQUATIONS
-
156
LINEAR
SYSTEMS
WITH
CONSTANT
COEFFICIENTS
-
156
A
PAIR
OF
COMPLEX
CONJUGATE
EIGENVALUES
-
163
THE
EXPONENTIAL
OF
A
MATRIX
-
168
THE
GENERAL
CASE
OF
REPEATED
EIGENVALUES
-
174
NONHOMOGENEOUS
SYSTEMS
-
186
DIFFERENCE
EQUATIONS
-
200
7
7.1
7.2
7.3
7.4
7.5
7.6
APPLICATIONS
TO
CALCULUS
AND
DIFFERENTIAL
GEOMETRY
-
208
HESSIAN
MATRIX
-
208
JACOBIAN
MATRIX
-
215
CURVES
AND
SURFACES
-
219
THE
FIRST
FUNDAMENTAL
FORM
-
227
THE
SECOND
FUNDAMENTAL
FORM
-
234
PRINCIPAL
CURVATURES
-
241
INDEX
-
249 |
adam_txt |
CONTENTS
INTRODUCTION
-
V
1
SYSTEMS
OF
LINEAR
EQUATIONS
-
1
1.1
GAUSSIAN
ELIMINATION
-
1
1.2
USING
MATRICES
-
8
1.2.1
COMPLETE
FORWARD
ELIMINATION
-
13
1.3
VECTOR
INTERPRETATION
OF
LINEAR
SYSTEMS
-
17
1.4
SOLUTION
SET
OF
A
LINEAR
SYSTEM
AX
=
B
-
23
1.5
LINEAR
DEPENDENCE
AND
INDEPENDENCE
-
27
2
MATRIX
ALGEBRA
-
34
2.1
MATRIX
OPERATIONS
-
34
2.2
THE
INVERSE
OF
A
SQUARE
MATRIX
-
39
2.3
LU
DECOMPOSITION
-
47
2.4
SUBSPACES,
BASES,
AND
DIMENSION
-
52
2.5
NULL
AND
COLUMN
SPACES
-
57
3
DETERMINANTS
-
64
3.1
COFACTOR
EXPANSION
-
64
3.2
PROPERTIES
OF
DETERMINANTS
-
67
3.3
CRAMER
'
S
RULE
-
75
3.3.1
VECTOR
PRODUCT
-
78
3.3.2
BLOCK
MATRICES
-
80
4
EIGENVECTORS
AND
EIGENVALUES
-
85
4.1
CHARACTERISTIC
EQUATION
-
85
4.1.1
PROPERTIES
OF
EIGENVECTORS
AND
EIGENVALUES
-
88
4.2
A
COMPLETE
SET
OF
EIGENVECTORS
-
93
4.2.1
COMPLEX
EIGENVALUES
-
96
4.3
DIAGONALIZATION
-
98
5
ORTHOGONALITY
AND
SYMMETRY
-
105
5.1
INNER
PRODUCTS
-
105
5.2
ORTHOGONAL
BASES
-
109
5.3
GRAM-SCHMIDT
ORTHOGONALIZATION
-
117
5.3.1
QR
FACTORIZATION
-
119
5.3.2
ORTHOGONAL
MATRICES
-
121
5.4
LINEAR
TRANSFORMATIONS
-
126
5.5
SYMMETRIC
TRANSFORMATIONS
-
131
VIII
==-
CONTENTS
BIBLIOGRAPHY
-
247
5.6
5.7
QUADRATIC
FORMS
-
140
VECTOR
SPACES
-
149
6
6.1
6.2
6.3
6.4
6.5
6.6
SYSTEMS
OF
DIFFERENTIAL
AND
DIFFERENCE
EQUATIONS
-
156
LINEAR
SYSTEMS
WITH
CONSTANT
COEFFICIENTS
-
156
A
PAIR
OF
COMPLEX
CONJUGATE
EIGENVALUES
-
163
THE
EXPONENTIAL
OF
A
MATRIX
-
168
THE
GENERAL
CASE
OF
REPEATED
EIGENVALUES
-
174
NONHOMOGENEOUS
SYSTEMS
-
186
DIFFERENCE
EQUATIONS
-
200
7
7.1
7.2
7.3
7.4
7.5
7.6
APPLICATIONS
TO
CALCULUS
AND
DIFFERENTIAL
GEOMETRY
-
208
HESSIAN
MATRIX
-
208
JACOBIAN
MATRIX
-
215
CURVES
AND
SURFACES
-
219
THE
FIRST
FUNDAMENTAL
FORM
-
227
THE
SECOND
FUNDAMENTAL
FORM
-
234
PRINCIPAL
CURVATURES
-
241
INDEX
-
249 |
any_adam_object | 1 |
any_adam_object_boolean | 1 |
author | Korman, Philip 1951- |
author_GND | (DE-588)1031496696 |
author_facet | Korman, Philip 1951- |
author_role | aut |
author_sort | Korman, Philip 1951- |
author_variant | p k pk |
building | Verbundindex |
bvnumber | BV049588022 |
classification_rvk | SK 220 |
ctrlnum | (OCoLC)1429568364 (DE-599)DNB1294591789 |
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 | 3512.5 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
discipline_str_mv | Mathematik |
format | Book |
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id | DE-604.BV049588022 |
illustrated | Not Illustrated |
index_date | 2024-07-03T23:32:56Z |
indexdate | 2024-09-10T00:30:49Z |
institution | BVB |
institution_GND | (DE-588)10095502-2 |
isbn | 9783111085401 3111085406 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-034932768 |
oclc_num | 1429568364 |
open_access_boolean | |
owner | DE-703 DE-573 |
owner_facet | DE-703 DE-573 |
physical | VIII, 250 Seiten 24 cm, 449 g |
publishDate | 2023 |
publishDateSearch | 2023 |
publishDateSort | 2023 |
publisher | De Gruyter |
record_format | marc |
series2 | De Gruyter graduate |
spelling | Korman, Philip 1951- Verfasser (DE-588)1031496696 aut Lectures on linear algebra and its applications Philip Korman Berlin ; Boston De Gruyter [2023] VIII, 250 Seiten 24 cm, 449 g txt rdacontent n rdamedia nc rdacarrier De Gruyter graduate Literaturverzeichnis Seite 246 Lineare Algebra (DE-588)4035811-2 gnd rswk-swf Anwendung (DE-588)4196864-5 gnd rswk-swf Lineare Algebra Differentialgleichung Differentialgeometrie Eigenvektoren Linear algebra matrix algebra differential equations differential geometry eigenvectors and eigenvalues. TB: Textbook Lineare Algebra; Differentialgleichung; Differentialgeometrie; Eigenvektoren Linear algebra; matrix algebra; differential equations; differential geometry; eigenvectors and eigenvalues. Lineare Algebra (DE-588)4035811-2 s Anwendung (DE-588)4196864-5 s DE-604 Walter de Gruyter GmbH & Co. KG (DE-588)10095502-2 pbl Erscheint auch als Online-Ausgabe, PDF 978-3-11-108650-7 Erscheint auch als Online-Ausgabe, EPUB 978-3-11-108662-0 X:MVB https://www.degruyter.com/isbn/9783111085401 B:DE-101 application/pdf https://d-nb.info/1294591789/04 Inhaltsverzeichnis DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=034932768&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p dnb 20240119 DE-101 https://d-nb.info/provenance/plan#dnb |
spellingShingle | Korman, Philip 1951- Lectures on linear algebra and its applications Lineare Algebra (DE-588)4035811-2 gnd Anwendung (DE-588)4196864-5 gnd |
subject_GND | (DE-588)4035811-2 (DE-588)4196864-5 |
title | Lectures on linear algebra and its applications |
title_auth | Lectures on linear algebra and its applications |
title_exact_search | Lectures on linear algebra and its applications |
title_exact_search_txtP | Lectures on linear algebra and its applications |
title_full | Lectures on linear algebra and its applications Philip Korman |
title_fullStr | Lectures on linear algebra and its applications Philip Korman |
title_full_unstemmed | Lectures on linear algebra and its applications Philip Korman |
title_short | Lectures on linear algebra and its applications |
title_sort | lectures on linear algebra and its applications |
topic | Lineare Algebra (DE-588)4035811-2 gnd Anwendung (DE-588)4196864-5 gnd |
topic_facet | Lineare Algebra Anwendung |
url | https://www.degruyter.com/isbn/9783111085401 https://d-nb.info/1294591789/04 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=034932768&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
work_keys_str_mv | AT kormanphilip lecturesonlinearalgebraanditsapplications AT walterdegruytergmbhcokg lecturesonlinearalgebraanditsapplications |
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