Linear algebra through geometry:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York u.a.
Springer
1992
|
| Edition: | 2. ed. |
| Series: | Undergraduate texts in mathematics
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XII, 305 S. graph. Darst. |
| ISBN: | 9780387975863 3540975861 |
Staff View
MARC
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| 100 | 1 | |a Banchoff, Thomas |d 1938- |0 (DE-588)1012657280 |4 aut | |
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| 264 | 1 | |a New York u.a. |b Springer |c 1992 | |
| 300 | |a XII, 305 S. |b graph. Darst. | ||
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Record in the Search Index
| _version_ | 1804119700403126272 |
|---|---|
| adam_text | Contents
Preface
to the Second Edition
vii
Acknowledgments
ix
1.0
Vectors in the Line
1
2.0
The Geometry of Vectors in the Plane
3
2.1
Transformations of the Plane
23
2.2
Linear Transformations and Matrices
29
2.3
Sums and Products of Linear Transformations
39
2.4
Inverses and Systems of Equations
50
2.5
Determinants
61
2.6
Eigenvalues
75
2.7
Classification of Conic Sections
85
3.0
Vector Geometry in 3-Space
98
3.1
Transformations of 3-Space
113
3.2
Linear Transformations and Matrices
117
3.3
Sums and Products of Linear Transformations
122
3.4
Inverses and Systems of Equations
133
3.5
Determinants
151
3.6
Eigenvalues
163
3.7
Symmetric Matrices
178
3.8
Classification of Quadric Surfaces
190
Xli
Linear Algebra
Through Geometry
4.0
Vector Geometry in n-Space,
η
> 4 197
4.1
Transformations of
η
-Space,
η
> 4 205
4.2
Linear Transformations and Matrices
213
4.3
Homogeneous Systems of Equations in
л-Ѕрасе
218
4.4
Inhomogeneous Systems of Equations in n-Space
226
5.0
Vector Spaces
235
5.1
Bases and Dimensions
238
5.2
Existence and Uniqueness of Solutions
245
5.3
The Matrix Relative to a Given Basis
247
6.0
Vector Spaces with an Inner Product
253
6.1
Orthonormal
Bases
255
6.2
Orthogonal Decomposition of a Vector Space
260
7.0
Symmetric Matrices in
η
Dimensions
263
7.1
Quadratic Forms in
η
Variables
269
8.0
Differential Systems
274
8.1
Least Squares Approximation
291
8.2
Curvature of Function Graphs
296
Index
303
|
| any_adam_object | 1 |
| author | Banchoff, Thomas 1938- Wermer, John |
| author_GND | (DE-588)1012657280 |
| author_facet | Banchoff, Thomas 1938- Wermer, John |
| author_role | aut aut |
| author_sort | Banchoff, Thomas 1938- |
| author_variant | t b tb j w jw |
| building | Verbundindex |
| bvnumber | BV005485756 |
| callnumber-first | Q - Science |
| callnumber-label | QA184 |
| callnumber-raw | QA184 |
| callnumber-search | QA184 |
| callnumber-sort | QA 3184 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | QH 140 SK 220 |
| classification_tum | MAT 150f MAT 516f MAT 157f |
| ctrlnum | (OCoLC)246738366 (DE-599)BVBBV005485756 |
| 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 Wirtschaftswissenschaften |
| edition | 2. ed. |
| format | Book |
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| id | DE-604.BV005485756 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T16:30:21Z |
| institution | BVB |
| isbn | 9780387975863 3540975861 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-003434489 |
| oclc_num | 246738366 |
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| physical | XII, 305 S. graph. Darst. |
| publishDate | 1992 |
| publishDateSearch | 1992 |
| publishDateSort | 1992 |
| publisher | Springer |
| record_format | marc |
| series2 | Undergraduate texts in mathematics |
| spelling | Banchoff, Thomas 1938- (DE-588)1012657280 aut Linear algebra through geometry Thomas Banchoff ; John Wermer 2. ed. New York u.a. Springer 1992 XII, 305 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Undergraduate texts in mathematics Algebras, Linear Analytische Geometrie (DE-588)4001867-2 gnd rswk-swf Algebraische Geometrie (DE-588)4001161-6 gnd rswk-swf Geometrie (DE-588)4020236-7 gnd rswk-swf Lineare Algebra (DE-588)4035811-2 gnd rswk-swf Vektorrechnung (DE-588)4062471-7 gnd rswk-swf Vektorrechnung (DE-588)4062471-7 s DE-604 Analytische Geometrie (DE-588)4001867-2 s Lineare Algebra (DE-588)4035811-2 s Geometrie (DE-588)4020236-7 s 1\p DE-604 Algebraische Geometrie (DE-588)4001161-6 s 2\p DE-604 Wermer, John aut Digitalisierung UB Bamberg - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003434489&sequence=000002&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 | Banchoff, Thomas 1938- Wermer, John Linear algebra through geometry Algebras, Linear Analytische Geometrie (DE-588)4001867-2 gnd Algebraische Geometrie (DE-588)4001161-6 gnd Geometrie (DE-588)4020236-7 gnd Lineare Algebra (DE-588)4035811-2 gnd Vektorrechnung (DE-588)4062471-7 gnd |
| subject_GND | (DE-588)4001867-2 (DE-588)4001161-6 (DE-588)4020236-7 (DE-588)4035811-2 (DE-588)4062471-7 |
| title | Linear algebra through geometry |
| title_auth | Linear algebra through geometry |
| title_exact_search | Linear algebra through geometry |
| title_full | Linear algebra through geometry Thomas Banchoff ; John Wermer |
| title_fullStr | Linear algebra through geometry Thomas Banchoff ; John Wermer |
| title_full_unstemmed | Linear algebra through geometry Thomas Banchoff ; John Wermer |
| title_short | Linear algebra through geometry |
| title_sort | linear algebra through geometry |
| topic | Algebras, Linear Analytische Geometrie (DE-588)4001867-2 gnd Algebraische Geometrie (DE-588)4001161-6 gnd Geometrie (DE-588)4020236-7 gnd Lineare Algebra (DE-588)4035811-2 gnd Vektorrechnung (DE-588)4062471-7 gnd |
| topic_facet | Algebras, Linear Analytische Geometrie Algebraische Geometrie Geometrie Lineare Algebra Vektorrechnung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003434489&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT banchoffthomas linearalgebrathroughgeometry AT wermerjohn linearalgebrathroughgeometry |