Linear Functions and Matrix Theory:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1995
|
| Schriftenreihe: | Textbooks in Mathematical Sciences
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Courses that study vectors and elementary matrix theory and introduce linear transformations have proliferated greatly in recent years. Most of these courses are taught at the undergraduate level as part of, or adjacent to, the second-year calculus sequence. Although many students will ultimately find the material in these courses more valuable than calculus, they often experience a class that consists mostly of learning to implement a series of computational algorithms. The objective of this text is to bring a different vision to this course, including many of the key elements called for in current mathematics-teaching reform efforts. Three of the main components of this current effort are the following: 1. Mathematical ideas should be introduced in meaningful contexts, with after a clear understanding formal definitions and procedures developed of practical situations has been achieved. 2. Every topic should be treated from different perspectives, including the numerical, geometric, and symbolic viewpoints. 3. The important ideas need to be visited repeatedly throughout the term, with students' understan9ing deepening each time. This text was written with these three objectives in mind. The first two chapters deal with situations requiring linear functions (at times, locally linear functions) or linear ideas in geometry for their understanding. These situations provide the context in which the formal mathematics is developed, and they are returned to with increasing sophistication throughout the text |
| Beschreibung: | 1 Online-Ressource (XI, 330 p) |
| ISBN: | 9781461242185 9780387944517 |
| ISSN: | 1431-9381 |
| DOI: | 10.1007/978-1-4612-4218-5 |
Internformat
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Datensatz im Suchindex
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| any_adam_object | |
| author | Jacob, Bill |
| author_facet | Jacob, Bill |
| author_role | aut |
| author_sort | Jacob, Bill |
| author_variant | b j bj |
| building | Verbundindex |
| bvnumber | BV042420248 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA ZDB-2-BAE |
| ctrlnum | (OCoLC)863757737 (DE-599)BVBBV042420248 |
| 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 |
| doi_str_mv | 10.1007/978-1-4612-4218-5 |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:06Z |
| institution | BVB |
| isbn | 9781461242185 9780387944517 |
| issn | 1431-9381 |
| language | English |
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| publishDate | 1995 |
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| spelling | Jacob, Bill Verfasser aut Linear Functions and Matrix Theory by Bill Jacob New York, NY Springer New York 1995 1 Online-Ressource (XI, 330 p) txt rdacontent c rdamedia cr rdacarrier Textbooks in Mathematical Sciences 1431-9381 Courses that study vectors and elementary matrix theory and introduce linear transformations have proliferated greatly in recent years. Most of these courses are taught at the undergraduate level as part of, or adjacent to, the second-year calculus sequence. Although many students will ultimately find the material in these courses more valuable than calculus, they often experience a class that consists mostly of learning to implement a series of computational algorithms. The objective of this text is to bring a different vision to this course, including many of the key elements called for in current mathematics-teaching reform efforts. Three of the main components of this current effort are the following: 1. Mathematical ideas should be introduced in meaningful contexts, with after a clear understanding formal definitions and procedures developed of practical situations has been achieved. 2. Every topic should be treated from different perspectives, including the numerical, geometric, and symbolic viewpoints. 3. The important ideas need to be visited repeatedly throughout the term, with students' understan9ing deepening each time. This text was written with these three objectives in mind. The first two chapters deal with situations requiring linear functions (at times, locally linear functions) or linear ideas in geometry for their understanding. These situations provide the context in which the formal mathematics is developed, and they are returned to with increasing sophistication throughout the text Mathematics Matrix theory Linear and Multilinear Algebras, Matrix Theory Mathematik Matrizentheorie (DE-588)4128970-5 gnd rswk-swf Lineare Algebra (DE-588)4035811-2 gnd rswk-swf Matrizenrechnung (DE-588)4126963-9 gnd rswk-swf 1\p (DE-588)4143389-0 Aufgabensammlung gnd-content Lineare Algebra (DE-588)4035811-2 s 2\p DE-604 Matrizentheorie (DE-588)4128970-5 s 3\p DE-604 Matrizenrechnung (DE-588)4126963-9 s 4\p DE-604 https://doi.org/10.1007/978-1-4612-4218-5 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Jacob, Bill Linear Functions and Matrix Theory Mathematics Matrix theory Linear and Multilinear Algebras, Matrix Theory Mathematik Matrizentheorie (DE-588)4128970-5 gnd Lineare Algebra (DE-588)4035811-2 gnd Matrizenrechnung (DE-588)4126963-9 gnd |
| subject_GND | (DE-588)4128970-5 (DE-588)4035811-2 (DE-588)4126963-9 (DE-588)4143389-0 |
| title | Linear Functions and Matrix Theory |
| title_auth | Linear Functions and Matrix Theory |
| title_exact_search | Linear Functions and Matrix Theory |
| title_full | Linear Functions and Matrix Theory by Bill Jacob |
| title_fullStr | Linear Functions and Matrix Theory by Bill Jacob |
| title_full_unstemmed | Linear Functions and Matrix Theory by Bill Jacob |
| title_short | Linear Functions and Matrix Theory |
| title_sort | linear functions and matrix theory |
| topic | Mathematics Matrix theory Linear and Multilinear Algebras, Matrix Theory Mathematik Matrizentheorie (DE-588)4128970-5 gnd Lineare Algebra (DE-588)4035811-2 gnd Matrizenrechnung (DE-588)4126963-9 gnd |
| topic_facet | Mathematics Matrix theory Linear and Multilinear Algebras, Matrix Theory Mathematik Matrizentheorie Lineare Algebra Matrizenrechnung Aufgabensammlung |
| url | https://doi.org/10.1007/978-1-4612-4218-5 |
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