Abstract linear algebra:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Springer
1990
|
| Schriftenreihe: | Universitext
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | X, 168 S. |
| ISBN: | 3540972633 0387972633 9780387972633 |
Internformat
MARC
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| 100 | 1 | |a Curtis, Morton L. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Abstract linear algebra |c Morton L. Curtis |
| 264 | 1 | |a New York [u.a.] |b Springer |c 1990 | |
| 300 | |a X, 168 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Universitext | |
| 650 | 0 | 7 | |a Lineare Algebra |0 (DE-588)4035811-2 |2 gnd |9 rswk-swf |
| 655 | 7 | |0 (DE-588)4151278-9 |a Einführung |2 gnd-content | |
| 689 | 0 | 0 | |a Lineare Algebra |0 (DE-588)4035811-2 |D s |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-002578805 | ||
Datensatz im Suchindex
| _version_ | 1804118348060950528 |
|---|---|
| adam_text | Contents
Preface
v
Introduction
vii
Chapter
0.
Algebraic Preliminaries
1
Chapter I. Vector Spaces and Linear Maps
9
A. Vector Spaces
9
B. Linear Maps
15
C. Bases, Dimension
20
D. Direct Sums, Quotients
28
E. Eigenvectors and Eigenvalues (Part i)
37
F. Dual Spaces
41
Chapter II. Matrices and Determinants
47
A. Matrices
47
B. Algebras
56
C. Determinants, the Laplace Expansion
61
D. Inverses, Systems of Equations
71
E. Eigenvalues (Part ii)
76
Chapter III. Rings and Polynomials
81
A. Rings
81
B. Polynomials
86
С
Cayley-Hamilton Theorem
94
D. Spectral Theorems
96
E. Jordan Form
102
Chapter IV. Inner Product Spaces 111
A. Rn as a Model, Bilinear Forms 111
B. Real Inner Product Spaces, Normed Vector Spaces
116
C. Complex Inner Product Spaces
123
ix
x
Contents
D.
Orthogonal and Unitary Groups
129
E. Stable Subspaces for Unitary and Orthogonal Groups
133
Chapter V. Normed Algebras
141
A. The Normed Algebras
R
and
С
141
B.
Some General Results, Quaternions
145
C. Alternative and Division Algebras
154
D. Cayley-Dickson Process, Hurwitz Theorem
156
Bibliography
163
Index
165
|
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| ctrlnum | (OCoLC)246656902 (DE-599)BVBBV004132280 |
| discipline | Mathematik |
| format | Book |
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| genre_facet | Einführung |
| id | DE-604.BV004132280 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:08:52Z |
| institution | BVB |
| isbn | 3540972633 0387972633 9780387972633 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002578805 |
| oclc_num | 246656902 |
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| physical | X, 168 S. |
| publishDate | 1990 |
| publishDateSearch | 1990 |
| publishDateSort | 1990 |
| publisher | Springer |
| record_format | marc |
| series2 | Universitext |
| spelling | Curtis, Morton L. Verfasser aut Abstract linear algebra Morton L. Curtis New York [u.a.] Springer 1990 X, 168 S. txt rdacontent n rdamedia nc rdacarrier Universitext Lineare Algebra (DE-588)4035811-2 gnd rswk-swf (DE-588)4151278-9 Einführung gnd-content Lineare Algebra (DE-588)4035811-2 s DE-604 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002578805&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Curtis, Morton L. Abstract linear algebra Lineare Algebra (DE-588)4035811-2 gnd |
| subject_GND | (DE-588)4035811-2 (DE-588)4151278-9 |
| title | Abstract linear algebra |
| title_auth | Abstract linear algebra |
| title_exact_search | Abstract linear algebra |
| title_full | Abstract linear algebra Morton L. Curtis |
| title_fullStr | Abstract linear algebra Morton L. Curtis |
| title_full_unstemmed | Abstract linear algebra Morton L. Curtis |
| title_short | Abstract linear algebra |
| title_sort | abstract linear algebra |
| topic | Lineare Algebra (DE-588)4035811-2 gnd |
| topic_facet | Lineare Algebra Einführung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002578805&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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