Linear algebra and geometry: a second course
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Chelsea Publ.
1974
|
| Ausgabe: | 2. ed. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XII, 143 S. graph. Darst. |
| ISBN: | 0828402795 |
Internformat
MARC
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| 245 | 1 | 0 | |a Linear algebra and geometry |b a second course |c Irving Kaplansky |
| 250 | |a 2. ed. | ||
| 264 | 1 | |a New York, NY |b Chelsea Publ. |c 1974 | |
| 300 | |a XII, 143 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 4 | |a Algebras, Linear | |
| 650 | 4 | |a Geometry | |
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Datensatz im Suchindex
| _version_ | 1804117302191325184 |
|---|---|
| adam_text | CONTENTS
1 INNER PRODUCT SPACES
1 1 Definitions and Examples 1
1 2 The Direct Summand Theorem 5
1 3 Diagonalization 7
1 4 The Inertia Theorem 10
1 5 The Discriminant 12
1 6 Finite Fields 14
1 7 Witt s Cancellation Theorem 17
1 8 Hyperbolic Planes 19
1 9 Alternate Forms 21
1 10 Characteristic 2: Symmetric Bilinear Forms 23
1 11 Witt s Theorem on Piecewise Equivalence 25
1 12 Characteristic 2: Quadratic Forms 27
1 13 Hermitian Forms 34
1 14 Some Alternative Proofs 38
1 15 Infinite Dimensional Inner Product Spaces 39
1 16 Forms Over Rings 46
2 ORTHOGONAL SIMILARITY
2 1 The Real Self Adjoint Case 57
2 2 Unitary Spaces 60
xi
Xii CONTENTS
2 3 Positivity and Polar Decomposition 65
2 4 The Real Case, Continued 69
2 5 Specht s Theorem 71
2 6 Remarks on Similarity 73
2 7 Orthogonal Similarity over Algebraically Closed Fields 77
3 GEOMETRY
3 1 Affine Planes 83
3 2 Inner Product Planes 93
3 3 Protective Planes 97
3 4 Projective Transformations 101
3 5 Duality 104
3 6 Cross Ratio and Harmonic Range 105
3 7 Conies 113
3 8 Higher Dimensional Spaces 120
3 9 Noncommutativity 123
3 10 Synthetic Foundations of Geometry 124
Appendix: Topological Aspects of Projective Spaces 130
Bibliography 137
Index 141
|
| any_adam_object | 1 |
| author | Kaplansky, Irving 1917-2006 |
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| bvnumber | BV003013363 |
| callnumber-first | Q - Science |
| callnumber-label | QA184 |
| callnumber-raw | QA184 QA251 |
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| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 220 |
| ctrlnum | (OCoLC)828288 (DE-599)BVBBV003013363 |
| dewey-full | 512/.5 512/.897 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.5 512/.897 |
| dewey-search | 512/.5 512/.897 |
| dewey-sort | 3512 15 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 2. ed. |
| format | Book |
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| id | DE-604.BV003013363 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T15:52:14Z |
| institution | BVB |
| isbn | 0828402795 |
| language | English |
| lccn | 74002393 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001886422 |
| oclc_num | 828288 |
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| owner_facet | DE-384 DE-739 DE-20 DE-19 DE-BY-UBM DE-29T DE-91G DE-BY-TUM DE-706 |
| physical | XII, 143 S. graph. Darst. |
| publishDate | 1974 |
| publishDateSearch | 1974 |
| publishDateSort | 1974 |
| publisher | Chelsea Publ. |
| record_format | marc |
| spelling | Kaplansky, Irving 1917-2006 Verfasser (DE-588)119264358 aut Linear algebra and geometry a second course Irving Kaplansky 2. ed. New York, NY Chelsea Publ. 1974 XII, 143 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Algebras, Linear Geometry Lineare Algebra (DE-588)4035811-2 gnd rswk-swf Geometrie (DE-588)4020236-7 gnd rswk-swf Geometrie (DE-588)4020236-7 s DE-604 Lineare Algebra (DE-588)4035811-2 s HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001886422&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kaplansky, Irving 1917-2006 Linear algebra and geometry a second course Algebras, Linear Geometry Lineare Algebra (DE-588)4035811-2 gnd Geometrie (DE-588)4020236-7 gnd |
| subject_GND | (DE-588)4035811-2 (DE-588)4020236-7 |
| title | Linear algebra and geometry a second course |
| title_auth | Linear algebra and geometry a second course |
| title_exact_search | Linear algebra and geometry a second course |
| title_full | Linear algebra and geometry a second course Irving Kaplansky |
| title_fullStr | Linear algebra and geometry a second course Irving Kaplansky |
| title_full_unstemmed | Linear algebra and geometry a second course Irving Kaplansky |
| title_short | Linear algebra and geometry |
| title_sort | linear algebra and geometry a second course |
| title_sub | a second course |
| topic | Algebras, Linear Geometry Lineare Algebra (DE-588)4035811-2 gnd Geometrie (DE-588)4020236-7 gnd |
| topic_facet | Algebras, Linear Geometry Lineare Algebra Geometrie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001886422&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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