Linear Algebra:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1963
|
| Ausgabe: | Second Editon |
| Schriftenreihe: | Die Grundlehren der Mathematischen Wissenschaften, In Einzeldarstellungen mit Besonderer Berücksichtigung der Anwendungsgebiete
97 |
| Schlagwörter: | |
| Links: | https://doi.org/10.1007/978-3-662-01545-2 |
| Beschreibung: | Besides the very obvious change from German to English, the second edition of this book contains many additions as weil as a great many other changes. It might even be called a new book altogether were it not for the fact that the essential character of the book has remained the same; in other words, the entire presentation continues to be based on an axiomatic treatment of linear spaces. In this second edition, the thorough-going restriction to linear spaces of finite dimension has been removed. Another complete change is the restriction to linear spaces with real or complex coefficients, thereby removing a number of relatively involved discussions which did not really contribute substantially to the subject. On p.6 there is a list of those chapters in which the presentation can be transferred directly to spaces over an arbitrary coefficient field. Chapter I deals with the general properties of a linear space. Those concepts which are only valid for finitely many dimensions are discussed in a special paragraph. Chapter 11 now covers only linear transformations while the treatment of matrices has been delegated to a new chapter, chapter 111. The discussion of dual spaces has been changed; dual spaces are now introduced abstractly and the connection with the space of linear functions is not established untillater |
| Umfang: | 1 Online-Ressource (XI, 338 p) |
| ISBN: | 9783662015452 9783662015476 |
| DOI: | 10.1007/978-3-662-01545-2 |
Internformat
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| 250 | |a Second Editon | ||
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| 490 | 1 | |a Die Grundlehren der Mathematischen Wissenschaften, In Einzeldarstellungen mit Besonderer Berücksichtigung der Anwendungsgebiete |v 97 | |
| 500 | |a Besides the very obvious change from German to English, the second edition of this book contains many additions as weil as a great many other changes. It might even be called a new book altogether were it not for the fact that the essential character of the book has remained the same; in other words, the entire presentation continues to be based on an axiomatic treatment of linear spaces. In this second edition, the thorough-going restriction to linear spaces of finite dimension has been removed. Another complete change is the restriction to linear spaces with real or complex coefficients, thereby removing a number of relatively involved discussions which did not really contribute substantially to the subject. On p.6 there is a list of those chapters in which the presentation can be transferred directly to spaces over an arbitrary coefficient field. Chapter I deals with the general properties of a linear space. Those concepts which are only valid for finitely many dimensions are discussed in a special paragraph. Chapter 11 now covers only linear transformations while the treatment of matrices has been delegated to a new chapter, chapter 111. The discussion of dual spaces has been changed; dual spaces are now introduced abstractly and the connection with the space of linear functions is not established untillater | ||
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Datensatz im Suchindex
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| building | Verbundindex |
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| dewey-full | 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510 |
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-662-01545-2 |
| edition | Second Editon |
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| id | DE-604.BV042423190 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T17:10:48Z |
| institution | BVB |
| isbn | 9783662015452 9783662015476 |
| language | English |
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| physical | 1 Online-Ressource (XI, 338 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 1963 |
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| publishDateSort | 1963 |
| publisher | Springer Berlin Heidelberg |
| record_format | marc |
| series | Die Grundlehren der Mathematischen Wissenschaften, In Einzeldarstellungen mit Besonderer Berücksichtigung der Anwendungsgebiete |
| series2 | Die Grundlehren der Mathematischen Wissenschaften, In Einzeldarstellungen mit Besonderer Berücksichtigung der Anwendungsgebiete |
| spellingShingle | Greub, Werner Hildbert 1925-1991 Linear Algebra Die Grundlehren der Mathematischen Wissenschaften, In Einzeldarstellungen mit Besonderer Berücksichtigung der Anwendungsgebiete Mathematics Mathematics, general Mathematik Lineare Algebra (DE-588)4035811-2 gnd |
| subject_GND | (DE-588)4035811-2 (DE-588)4151278-9 (DE-588)4123623-3 |
| title | Linear Algebra |
| title_auth | Linear Algebra |
| title_exact_search | Linear Algebra |
| title_full | Linear Algebra by Werner H. Greub |
| title_fullStr | Linear Algebra by Werner H. Greub |
| title_full_unstemmed | Linear Algebra by Werner H. Greub |
| title_short | Linear Algebra |
| title_sort | linear algebra |
| topic | Mathematics Mathematics, general Mathematik Lineare Algebra (DE-588)4035811-2 gnd |
| topic_facet | Mathematics Mathematics, general Mathematik Lineare Algebra Einführung Lehrbuch |
| url | https://doi.org/10.1007/978-3-662-01545-2 |
| volume_link | (DE-604)BV049758308 |
| work_keys_str_mv | AT greubwernerhildbert linearalgebra |