Lectures on linear algebra and its applications:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin ; Boston
De Gruyter
[2023]
|
| Series: | De Gruyter graduate
|
| Subjects: | |
| Online Access: | https://www.degruyter.com/isbn/9783111085401 Inhaltsverzeichnis Inhaltsverzeichnis |
| Item Description: | Literaturverzeichnis Seite 246 |
| Physical Description: | VIII, 250 Seiten 24 cm, 449 g |
| ISBN: | 9783111085401 3111085406 |
Staff View
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| 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. | ||
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Record in the Search Index
| _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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