Lectures in Abstract Algebra: II. Linear Algebra
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1953
|
| Schriftenreihe: | Graduate Texts in Mathematics
31 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | The present volume is the second in the author's series of three dealing with abstract algebra. For an understanding of this volume a certain familiarity with the basic concepts treated in Volume I: groups, rings, fields, homomorphisms, is presup posed. However, we have tried to make this account of linear algebra independent of a detailed knowledge of our first volume. References to specific results are given occasionally but some of the fundamental concepts needed have been treated again. In short, it is hoped that this volume can be read with complete understanding by any student who is mathematically sufficiently mature and who has a familiarity with the standard notions of modern algebra. Our point of view in the present volume is basically the abstract conceptual one. However, from time to time we have deviated somewhat from this. Occasionally formal calculational methods yield sharper results. Moreover, the results of linear algebra are not an end in themselves but are essential tools for use in other branches of mathematics and its applications. It is therefore useful to have at hand methods which are constructive and which can be applied in numerical problems. These methods sometimes necessitate a somewhat lengthier discussion but we have felt that their presentation is justified on the grounds indicated. A stu dent well versed in abstract algebra will undoubtedly observe short cuts. Some of these have been indicated in footnotes. We have included a large number of exercises in the text |
| Beschreibung: | 1 Online-Ressource (XII, 280 p) |
| ISBN: | 9781468470536 9781468470550 |
| ISSN: | 0072-5285 |
| DOI: | 10.1007/978-1-4684-7053-6 |
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| isbn | 9781468470536 9781468470550 |
| issn | 0072-5285 |
| language | English |
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| spelling | Jacobson, Nathan Verfasser aut Lectures in Abstract Algebra II. Linear Algebra by Nathan Jacobson New York, NY Springer New York 1953 1 Online-Ressource (XII, 280 p) txt rdacontent c rdamedia cr rdacarrier Graduate Texts in Mathematics 31 0072-5285 The present volume is the second in the author's series of three dealing with abstract algebra. For an understanding of this volume a certain familiarity with the basic concepts treated in Volume I: groups, rings, fields, homomorphisms, is presup posed. However, we have tried to make this account of linear algebra independent of a detailed knowledge of our first volume. References to specific results are given occasionally but some of the fundamental concepts needed have been treated again. In short, it is hoped that this volume can be read with complete understanding by any student who is mathematically sufficiently mature and who has a familiarity with the standard notions of modern algebra. Our point of view in the present volume is basically the abstract conceptual one. However, from time to time we have deviated somewhat from this. Occasionally formal calculational methods yield sharper results. Moreover, the results of linear algebra are not an end in themselves but are essential tools for use in other branches of mathematics and its applications. It is therefore useful to have at hand methods which are constructive and which can be applied in numerical problems. These methods sometimes necessitate a somewhat lengthier discussion but we have felt that their presentation is justified on the grounds indicated. A stu dent well versed in abstract algebra will undoubtedly observe short cuts. Some of these have been indicated in footnotes. We have included a large number of exercises in the text Mathematics Mathematics, general Mathematik https://doi.org/10.1007/978-1-4684-7053-6 Verlag Volltext |
| spellingShingle | Jacobson, Nathan Lectures in Abstract Algebra II. Linear Algebra Mathematics Mathematics, general Mathematik |
| title | Lectures in Abstract Algebra II. Linear Algebra |
| title_auth | Lectures in Abstract Algebra II. Linear Algebra |
| title_exact_search | Lectures in Abstract Algebra II. Linear Algebra |
| title_full | Lectures in Abstract Algebra II. Linear Algebra by Nathan Jacobson |
| title_fullStr | Lectures in Abstract Algebra II. Linear Algebra by Nathan Jacobson |
| title_full_unstemmed | Lectures in Abstract Algebra II. Linear Algebra by Nathan Jacobson |
| title_short | Lectures in Abstract Algebra |
| title_sort | lectures in abstract algebra ii linear algebra |
| title_sub | II. Linear Algebra |
| topic | Mathematics Mathematics, general Mathematik |
| topic_facet | Mathematics Mathematics, general Mathematik |
| url | https://doi.org/10.1007/978-1-4684-7053-6 |
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