Scalar, vector, and matrix mathematics: theory, facts, and formulas
The essential reference book on matrices—now fully updated and expanded, with new material on scalar and vector mathematicsSince its initial publication, this book has become the essential reference for users of matrices in all branches of engineering, science, and applied mathematics. In this revis...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Princeton, NJ ; Oxford
Princeton University Press
[2018]
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| Ausgabe: | Revised and expanded Edition |
| Schlagworte: | |
| Online-Zugang: | FAB01 FAW01 FCO01 FHA01 FKE01 FLA01 TUM01 UER01 UPA01 Volltext |
| Zusammenfassung: | The essential reference book on matrices—now fully updated and expanded, with new material on scalar and vector mathematicsSince its initial publication, this book has become the essential reference for users of matrices in all branches of engineering, science, and applied mathematics. In this revised and expanded edition, Dennis Bernstein combines extensive material on scalar and vector mathematics with the latest results in matrix theory to make this the most comprehensive, current, and easy-to-use book on the subject.Each chapter describes relevant theoretical background followed by specialized results. Hundreds of identities, inequalities, and facts are stated clearly and rigorously, with cross-references, citations to the literature, and helpful comments. Beginning with preliminaries on sets, logic, relations, and functions, this unique compendium covers all the major topics in matrix theory, such as transformations and decompositions, polynomial matrices, generalized inverses, and norms. Additional topics include graphs, groups, convex functions, polynomials, and linear systems. The book also features a wealth of new material on scalar inequalities, geometry, combinatorics, series, integrals, and more.Now more comprehensive than ever, Scalar, Vector, and Matrix Mathematics includes a detailed list of symbols, a summary of notation and conventions, an extensive bibliography and author index with page references, and an exhaustive subject index.Fully updated and expanded with new material on scalar and vector mathematicsCovers the latest results in matrix theoryProvides a list of symbols and a summary of conventions for easy and precise useIncludes an extensive bibliography with back-referencing plus an author index |
| Beschreibung: | Description based on online resource; title from PDF title page (publisher's Web site, viewed 29. Aug 2018) |
| Beschreibung: | 1 Online-Ressource Illustrationen |
| ISBN: | 9781400888252 |
| DOI: | 10.1515/9781400888252 |
Internformat
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| 520 | |a The essential reference book on matrices—now fully updated and expanded, with new material on scalar and vector mathematicsSince its initial publication, this book has become the essential reference for users of matrices in all branches of engineering, science, and applied mathematics. In this revised and expanded edition, Dennis Bernstein combines extensive material on scalar and vector mathematics with the latest results in matrix theory to make this the most comprehensive, current, and easy-to-use book on the subject.Each chapter describes relevant theoretical background followed by specialized results. Hundreds of identities, inequalities, and facts are stated clearly and rigorously, with cross-references, citations to the literature, and helpful comments. Beginning with preliminaries on sets, logic, relations, and functions, this unique compendium covers all the major topics in matrix theory, such as transformations and decompositions, polynomial matrices, generalized inverses, and norms. Additional topics include graphs, groups, convex functions, polynomials, and linear systems. The book also features a wealth of new material on scalar inequalities, geometry, combinatorics, series, integrals, and more.Now more comprehensive than ever, Scalar, Vector, and Matrix Mathematics includes a detailed list of symbols, a summary of notation and conventions, an extensive bibliography and author index with page references, and an exhaustive subject index.Fully updated and expanded with new material on scalar and vector mathematicsCovers the latest results in matrix theoryProvides a list of symbols and a summary of conventions for easy and precise useIncludes an extensive bibliography with back-referencing plus an author index | ||
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Datensatz im Suchindex
| _version_ | 1804180114539282432 |
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| any_adam_object | |
| author | Bernstein, Dennis S. 1954- |
| author_GND | (DE-588)140693319 |
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| author_role | aut |
| author_sort | Bernstein, Dennis S. 1954- |
| author_variant | d s b ds dsb |
| building | Verbundindex |
| bvnumber | BV045928849 |
| classification_rvk | SK 220 |
| classification_tum | MAT 150 |
| collection | ZDB-30-PQE ZDB-23-DGG |
| ctrlnum | (ZDB-23-DGG)9781400888252 (OCoLC)1104878160 (DE-599)BVBBV045928849 |
| dewey-full | 512.9 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.9 |
| dewey-search | 512.9 |
| dewey-sort | 3512.9 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1515/9781400888252 |
| edition | Revised and expanded Edition |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T08:30:37Z |
| institution | BVB |
| isbn | 9781400888252 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-031311286 |
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| physical | 1 Online-Ressource Illustrationen |
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| publishDate | 2018 |
| publishDateSearch | 2018 |
| publishDateSort | 2018 |
| publisher | Princeton University Press |
| record_format | marc |
| spelling | Bernstein, Dennis S. 1954- Verfasser (DE-588)140693319 aut Scalar, vector, and matrix mathematics theory, facts, and formulas Dennis Bernstein Revised and expanded Edition Princeton, NJ ; Oxford Princeton University Press [2018] © 2018 1 Online-Ressource Illustrationen txt rdacontent c rdamedia cr rdacarrier Description based on online resource; title from PDF title page (publisher's Web site, viewed 29. Aug 2018) The essential reference book on matrices—now fully updated and expanded, with new material on scalar and vector mathematicsSince its initial publication, this book has become the essential reference for users of matrices in all branches of engineering, science, and applied mathematics. In this revised and expanded edition, Dennis Bernstein combines extensive material on scalar and vector mathematics with the latest results in matrix theory to make this the most comprehensive, current, and easy-to-use book on the subject.Each chapter describes relevant theoretical background followed by specialized results. Hundreds of identities, inequalities, and facts are stated clearly and rigorously, with cross-references, citations to the literature, and helpful comments. Beginning with preliminaries on sets, logic, relations, and functions, this unique compendium covers all the major topics in matrix theory, such as transformations and decompositions, polynomial matrices, generalized inverses, and norms. Additional topics include graphs, groups, convex functions, polynomials, and linear systems. The book also features a wealth of new material on scalar inequalities, geometry, combinatorics, series, integrals, and more.Now more comprehensive than ever, Scalar, Vector, and Matrix Mathematics includes a detailed list of symbols, a summary of notation and conventions, an extensive bibliography and author index with page references, and an exhaustive subject index.Fully updated and expanded with new material on scalar and vector mathematicsCovers the latest results in matrix theoryProvides a list of symbols and a summary of conventions for easy and precise useIncludes an extensive bibliography with back-referencing plus an author index Determinante (DE-588)4138983-9 gnd rswk-swf Matrix Mathematik (DE-588)4037968-1 gnd rswk-swf Matrizentheorie (DE-588)4128970-5 gnd rswk-swf Vektoranalysis (DE-588)4191992-0 gnd rswk-swf Lineare Algebra (DE-588)4035811-2 gnd rswk-swf Matrix Mathematik (DE-588)4037968-1 s Matrizentheorie (DE-588)4128970-5 s Lineare Algebra (DE-588)4035811-2 s Determinante (DE-588)4138983-9 s Vektoranalysis (DE-588)4191992-0 s 1\p DE-604 Erscheint auch als Druck-Ausgabe, Hardcover 9780691151205 Erscheint auch als Druck-Ausgabe, Paperback 9780691176536 https://doi.org/10.1515/9781400888252 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Bernstein, Dennis S. 1954- Scalar, vector, and matrix mathematics theory, facts, and formulas Determinante (DE-588)4138983-9 gnd Matrix Mathematik (DE-588)4037968-1 gnd Matrizentheorie (DE-588)4128970-5 gnd Vektoranalysis (DE-588)4191992-0 gnd Lineare Algebra (DE-588)4035811-2 gnd |
| subject_GND | (DE-588)4138983-9 (DE-588)4037968-1 (DE-588)4128970-5 (DE-588)4191992-0 (DE-588)4035811-2 |
| title | Scalar, vector, and matrix mathematics theory, facts, and formulas |
| title_auth | Scalar, vector, and matrix mathematics theory, facts, and formulas |
| title_exact_search | Scalar, vector, and matrix mathematics theory, facts, and formulas |
| title_full | Scalar, vector, and matrix mathematics theory, facts, and formulas Dennis Bernstein |
| title_fullStr | Scalar, vector, and matrix mathematics theory, facts, and formulas Dennis Bernstein |
| title_full_unstemmed | Scalar, vector, and matrix mathematics theory, facts, and formulas Dennis Bernstein |
| title_short | Scalar, vector, and matrix mathematics |
| title_sort | scalar vector and matrix mathematics theory facts and formulas |
| title_sub | theory, facts, and formulas |
| topic | Determinante (DE-588)4138983-9 gnd Matrix Mathematik (DE-588)4037968-1 gnd Matrizentheorie (DE-588)4128970-5 gnd Vektoranalysis (DE-588)4191992-0 gnd Lineare Algebra (DE-588)4035811-2 gnd |
| topic_facet | Determinante Matrix Mathematik Matrizentheorie Vektoranalysis Lineare Algebra |
| url | https://doi.org/10.1515/9781400888252 |
| work_keys_str_mv | AT bernsteindenniss scalarvectorandmatrixmathematicstheoryfactsandformulas |