Linear algebra through geometry:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York u.a.
Springer
1993
|
| Ausgabe: | 2. ed., corr. 2. print. |
| Schriftenreihe: | Undergraduate texts in mathematics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XII, 305 S. graph. Darst. |
| ISBN: | 9780387975863 3540975861 |
Internformat
MARC
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Datensatz im Suchindex
| _version_ | 1807321313516191744 |
|---|---|
| adam_text |
THOMA
S BANCHOFF
JOH
N WERMER
LINEAR ALGEBRA
THROUGH GEOMETRY
SECOND EDITION
WITH 92 ILLUSTRATIONS
SPRINGER
CONTENTS
PREFACE TO THE SECOND EDITION VII
ACKNOWLEDGMENTS
X
1.0 VECTOR
S I
N TH
E LIN
E
2.0 TH
E GEOMETR
Y O
F VECTOR
S I
N TH
E PLAN
E 3
2.
1 TRANSFORMATION
S O
F TH
E PLAN
E 2
3
2.
2 LINEA
R TRANSFORMATION
S AN
D MATRICE
S 2
9
2.
3 SUM
S AN
D PRODUCT
S O
F LINEA
R TRANSFORMATION
S 3
9
2.
4 INVERSE
S AN
D SYSTEM
S O
F EQUATION
S SO
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 PRODUCT
S OF LINEAR TRANSFORMATIONS 122
3.4 INVERSES AND SYSTEMS OF EQUATIONS 133
3.5 DETERMINANT
S 151
3.6 EIGENVALUES 163
3.7 SYMMETRIC MATRICES 178
3.8 CLASSIFICATION OF QUADRI
C SURFACES 190
XI
I LINEAR ALGEBRA THROUGH GEOMETRY
4.0 VECTOR GEOMETRY IN N-SPACE, N S: 4 197
4.1 TRANSFORMATIONS OF N-SPACE,
N
4 205
4.2 LINEAR TRANSFORMATIONS AND MATRICES 213
4.3 HOMOGENEOUS SYSTEMS OF EQUATIONS IN N-SPACE 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 N DIMENSIONS 263
7.1 QUADRATIC FORMS IN N 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 | BV008877468 |
| classification_rvk | SK 220 |
| ctrlnum | (OCoLC)257502028 (DE-599)BVBBV008877468 |
| 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 15 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 2. ed., corr. 2. print. |
| format | Book |
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| id | DE-604.BV008877468 |
| illustrated | Illustrated |
| indexdate | 2024-08-14T00:38:36Z |
| institution | BVB |
| isbn | 9780387975863 3540975861 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-005871948 |
| oclc_num | 257502028 |
| open_access_boolean | |
| owner | DE-739 DE-20 DE-11 |
| owner_facet | DE-739 DE-20 DE-11 |
| physical | XII, 305 S. graph. Darst. |
| publishDate | 1993 |
| publishDateSearch | 1993 |
| publishDateSort | 1993 |
| publisher | Springer |
| record_format | marc |
| series2 | Undergraduate texts in mathematics |
| spelling | Banchoff, Thomas 1938- Verfasser (DE-588)1012657280 aut Linear algebra through geometry Thomas Banchoff ; John Wermer 2. ed., corr. 2. print. New York u.a. Springer 1993 XII, 305 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Undergraduate texts in mathematics Vektorrechnung (DE-588)4062471-7 gnd rswk-swf Analytische Geometrie (DE-588)4001867-2 gnd rswk-swf Lineare Algebra (DE-588)4035811-2 gnd rswk-swf Geometrie (DE-588)4020236-7 gnd rswk-swf Algebraische Geometrie (DE-588)4001161-6 gnd rswk-swf Lineare Algebra (DE-588)4035811-2 s Geometrie (DE-588)4020236-7 s 1\p DE-604 Analytische Geometrie (DE-588)4001867-2 s 2\p DE-604 Vektorrechnung (DE-588)4062471-7 s 3\p DE-604 Algebraische Geometrie (DE-588)4001161-6 s 4\p DE-604 Wermer, John Verfasser aut DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005871948&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 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Banchoff, Thomas 1938- Wermer, John Linear algebra through geometry Vektorrechnung (DE-588)4062471-7 gnd Analytische Geometrie (DE-588)4001867-2 gnd Lineare Algebra (DE-588)4035811-2 gnd Geometrie (DE-588)4020236-7 gnd Algebraische Geometrie (DE-588)4001161-6 gnd |
| subject_GND | (DE-588)4062471-7 (DE-588)4001867-2 (DE-588)4035811-2 (DE-588)4020236-7 (DE-588)4001161-6 |
| 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 | Vektorrechnung (DE-588)4062471-7 gnd Analytische Geometrie (DE-588)4001867-2 gnd Lineare Algebra (DE-588)4035811-2 gnd Geometrie (DE-588)4020236-7 gnd Algebraische Geometrie (DE-588)4001161-6 gnd |
| topic_facet | Vektorrechnung Analytische Geometrie Lineare Algebra Geometrie Algebraische Geometrie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005871948&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT banchoffthomas linearalgebrathroughgeometry AT wermerjohn linearalgebrathroughgeometry |