Topics in Quaternion Linear Algebra:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Princeton, N.J.
Princeton University Press
[2014]
|
| Schriftenreihe: | Princeton Series in Applied Mathematics
|
| Schlagwörter: | |
| Links: | https://ebookcentral.proquest.com/lib/munchentech/detail.action?docID=1689375 https://doi.org/10.1515/9781400852741?locatt=mode:legacy https://doi.org/10.1515/9781400852741?locatt=mode:legacy https://doi.org/10.1515/9781400852741 |
| Umfang: | 384p. |
| ISBN: | 9781400852741 |
| DOI: | 10.1515/9781400852741 |
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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 It features previously unpublished research results with complete proofs and many open problems at various levels, as well as more than 200 exercises to facilitate use by students and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 the book include numerical ranges, invariant semidefinite subspaces, differential equations with symmetries, and matrix equations.Designed for researchers and students across a variety of disciplines, the book can be read by anyone with a background in linear algebra, rudimentary complex analysis, and some multivariable calculus. Instructors will find it useful as a complementary text for undergraduate linear algebra courses or as a basis for a graduate course in linear algebra. The open problems can serve as research projects for undergraduates, topics for graduate students, or problems to be tackled by professional research mathematicians. The book is also an invaluable reference tool for researchers in fields where techniques based on quaternion analysis are used | |
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| 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 the book include numerical ranges, invariant semidefinite subspaces, differential equations with symmetries, and matrix equations.Designed for researchers and students across a variety of disciplines, the book can be read by anyone with a background in linear algebra, rudimentary complex analysis, and some multivariable calculus. Instructors will find it useful as a complementary text for undergraduate linear algebra courses or as a basis for a graduate course in linear algebra. The open problems can serve as research projects for undergraduates, topics for graduate students, or problems to be tackled by professional research mathematicians. The book is also an invaluable reference tool for researchers in fields where techniques based on quaternion analysis are used |
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| dewey-full | 512.5 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
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| discipline | Mathematik |
| doi_str_mv | 10.1515/9781400852741 |
| format | Electronic eBook |
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| isbn | 9781400852741 |
| language | English |
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| spellingShingle | Rodman, Leiba 1949-2015 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 the book include numerical ranges, invariant semidefinite subspaces, differential equations with symmetries, and matrix equations.Designed for researchers and students across a variety of disciplines, the book can be read by anyone with a background in linear algebra, rudimentary complex analysis, and some multivariable calculus. Instructors will find it useful as a complementary text for undergraduate linear algebra courses or as a basis for a graduate course in linear algebra. The open problems can serve as research projects for undergraduates, topics for graduate students, or problems to be tackled by professional research mathematicians. The book is also an invaluable reference tool for researchers in fields where techniques based on quaternion analysis are used 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 | Quaternionenalgebra (DE-588)4618620-7 gnd |
| topic_facet | Quaternionenalgebra |
| url | https://doi.org/10.1515/9781400852741 |
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