Topics in quaternion linear algebra:
Gespeichert in:
1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Princeton
Princeton University Press
[2014]
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Schriftenreihe: | Princeton series in applied mathematics
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Schlagworte: | |
Online-Zugang: | FAW01 FAW02 Volltext |
Beschreibung: | Print version record |
Beschreibung: | 1 online resource (xii, 363 pages) |
ISBN: | 0691161852 1306883385 1400852749 9780691161853 9781306883382 9781400852741 |
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505 | 8 | |a Quaternions are a number system that has become increasingly useful for representing the rotations of objects in three-dimensional space and has important applications in theoretical and applied mathematics, physics, computer science, and engineering. This is the first book to provide a systematic, accessible, and self-contained exposition of quaternion linear algebra. It features previously unpublished research results with complete proofs and many open problems at various levels, as well as more than 200 exercises to facilitate use by students and instructors. Applications presented in .. | |
505 | 8 | |a 1. Introduction -- 2. The algebra of quaternions -- 3. Vector spaces and matrices: Basic theory -- 4. Symmetric matrices and congruence -- 5. Invariant subspaces and Jordan form -- 6. Invariant neutral and semidenite subspaces -- 7. Smith form and Kronecker canonical form -- 8. Pencils of hermitian matrices | |
650 | 4 | |a Algebras, Linear / Textbooks | |
650 | 4 | |a Mathematics | |
650 | 4 | |a Quaternions / Textbooks | |
650 | 7 | |a MATHEMATICS / Algebra / Intermediate |2 bisacsh | |
650 | 7 | |a MATHEMATICS / Complex Analysis |2 bisacsh | |
650 | 4 | |a Mathematik | |
650 | 4 | |a Algebras, Linear |v Textbooks | |
650 | 4 | |a Quaternions |v Textbooks | |
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Datensatz im Suchindex
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any_adam_object | |
author | Rodman, L. |
author_facet | Rodman, L. |
author_role | aut |
author_sort | Rodman, L. |
author_variant | l r lr |
building | Verbundindex |
bvnumber | BV043032428 |
collection | ZDB-4-EBA |
contents | Quaternions are a number system that has become increasingly useful for representing the rotations of objects in three-dimensional space and has important applications in theoretical and applied mathematics, physics, computer science, and engineering. This is the first book to provide a systematic, accessible, and self-contained exposition of quaternion linear algebra. It features previously unpublished research results with complete proofs and many open problems at various levels, as well as more than 200 exercises to facilitate use by students and instructors. Applications presented in .. 1. Introduction -- 2. The algebra of quaternions -- 3. Vector spaces and matrices: Basic theory -- 4. Symmetric matrices and congruence -- 5. Invariant subspaces and Jordan form -- 6. Invariant neutral and semidenite subspaces -- 7. Smith form and Kronecker canonical form -- 8. Pencils of hermitian matrices |
ctrlnum | (OCoLC)881568749 (DE-599)BVBBV043032428 |
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 |
format | Electronic eBook |
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id | DE-604.BV043032428 |
illustrated | Not Illustrated |
indexdate | 2024-07-10T07:15:31Z |
institution | BVB |
isbn | 0691161852 1306883385 1400852749 9780691161853 9781306883382 9781400852741 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028457078 |
oclc_num | 881568749 |
open_access_boolean | |
owner | DE-1046 DE-1047 |
owner_facet | DE-1046 DE-1047 |
physical | 1 online resource (xii, 363 pages) |
psigel | ZDB-4-EBA ZDB-4-EBA FAW_PDA_EBA |
publishDate | 2014 |
publishDateSearch | 2014 |
publishDateSort | 2014 |
publisher | Princeton University Press |
record_format | marc |
series2 | Princeton series in applied mathematics |
spelling | Rodman, L. Verfasser aut Topics in quaternion linear algebra Leiba Rodman Princeton Princeton University Press [2014] © 2014 1 online resource (xii, 363 pages) txt rdacontent c rdamedia cr rdacarrier Princeton series in applied mathematics Print version record Quaternions are a number system that has become increasingly useful for representing the rotations of objects in three-dimensional space and has important applications in theoretical and applied mathematics, physics, computer science, and engineering. This is the first book to provide a systematic, accessible, and self-contained exposition of quaternion linear algebra. It features previously unpublished research results with complete proofs and many open problems at various levels, as well as more than 200 exercises to facilitate use by students and instructors. Applications presented in .. 1. Introduction -- 2. The algebra of quaternions -- 3. Vector spaces and matrices: Basic theory -- 4. Symmetric matrices and congruence -- 5. Invariant subspaces and Jordan form -- 6. Invariant neutral and semidenite subspaces -- 7. Smith form and Kronecker canonical form -- 8. Pencils of hermitian matrices Algebras, Linear / Textbooks Mathematics Quaternions / Textbooks MATHEMATICS / Algebra / Intermediate bisacsh MATHEMATICS / Complex Analysis bisacsh Mathematik Algebras, Linear Textbooks Quaternions Textbooks Quaternionenalgebra (DE-588)4618620-7 gnd rswk-swf Quaternionenalgebra (DE-588)4618620-7 s 1\p DE-604 Erscheint auch als Druck-Ausgabe Rodman, L . Topics in quaternion linear algebra http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=778846 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Rodman, L. Topics in quaternion linear algebra Quaternions are a number system that has become increasingly useful for representing the rotations of objects in three-dimensional space and has important applications in theoretical and applied mathematics, physics, computer science, and engineering. This is the first book to provide a systematic, accessible, and self-contained exposition of quaternion linear algebra. It features previously unpublished research results with complete proofs and many open problems at various levels, as well as more than 200 exercises to facilitate use by students and instructors. Applications presented in .. 1. Introduction -- 2. The algebra of quaternions -- 3. Vector spaces and matrices: Basic theory -- 4. Symmetric matrices and congruence -- 5. Invariant subspaces and Jordan form -- 6. Invariant neutral and semidenite subspaces -- 7. Smith form and Kronecker canonical form -- 8. Pencils of hermitian matrices Algebras, Linear / Textbooks Mathematics Quaternions / Textbooks MATHEMATICS / Algebra / Intermediate bisacsh MATHEMATICS / Complex Analysis bisacsh Mathematik Algebras, Linear Textbooks Quaternions Textbooks Quaternionenalgebra (DE-588)4618620-7 gnd |
subject_GND | (DE-588)4618620-7 |
title | Topics in quaternion linear algebra |
title_auth | Topics in quaternion linear algebra |
title_exact_search | Topics in quaternion linear algebra |
title_full | Topics in quaternion linear algebra Leiba Rodman |
title_fullStr | Topics in quaternion linear algebra Leiba Rodman |
title_full_unstemmed | Topics in quaternion linear algebra Leiba Rodman |
title_short | Topics in quaternion linear algebra |
title_sort | topics in quaternion linear algebra |
topic | Algebras, Linear / Textbooks Mathematics Quaternions / Textbooks MATHEMATICS / Algebra / Intermediate bisacsh MATHEMATICS / Complex Analysis bisacsh Mathematik Algebras, Linear Textbooks Quaternions Textbooks Quaternionenalgebra (DE-588)4618620-7 gnd |
topic_facet | Algebras, Linear / Textbooks Mathematics Quaternions / Textbooks MATHEMATICS / Algebra / Intermediate MATHEMATICS / Complex Analysis Mathematik Algebras, Linear Textbooks Quaternions Textbooks Quaternionenalgebra |
url | http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=778846 |
work_keys_str_mv | AT rodmanl topicsinquaternionlinearalgebra |