An introduction to abstract algebra, Volume 2:
The second volume continues the course of study started in Volume 1, but may be used independently by those already possessing an elementary knowledge of the subject. A summary of basic group theory is followed by accounts of group homomorphisms, rings, fields and integral domains. The related conce...
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1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Cambridge
Cambridge University Press
1969
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Schlagworte: | |
Online-Zugang: | BSB01 FHN01 Volltext |
Zusammenfassung: | The second volume continues the course of study started in Volume 1, but may be used independently by those already possessing an elementary knowledge of the subject. A summary of basic group theory is followed by accounts of group homomorphisms, rings, fields and integral domains. The related concepts of an invariant subgroup and an ideal in a ring are brought in and the reader introduced to vector spaces and Boolean algebra. The theorems behind the abstract work and the reasons for their importance are discussed in greater detail than is usual at this level. The book is intended both for those who, educated in traditional mathematics, wish to know something about modern algebra and also for those already familiar with the elements of the subject who wish to study further. Fresh ideas and structures are introduced gradually and in a simpler manner, with concrete examples and much more informal discussion. There are many graded exercises, including some worked examples. This book is thus suitable both for the student working by himself without the aid of the teacher and for those taking formal courses in universities or colleges of education |
Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
Beschreibung: | 1 online resource (xii, 388 pages) |
ISBN: | 9780511565724 |
DOI: | 10.1017/CBO9780511565724 |
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Datensatz im Suchindex
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any_adam_object | |
author | Hall, F. M. |
author_facet | Hall, F. M. |
author_role | aut |
author_sort | Hall, F. M. |
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dewey-full | 512.8 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 512 - Algebra |
dewey-raw | 512.8 |
dewey-search | 512.8 |
dewey-sort | 3512.8 |
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discipline | Mathematik |
doi_str_mv | 10.1017/CBO9780511565724 |
format | Electronic eBook |
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illustrated | Not Illustrated |
indexdate | 2024-07-10T07:39:20Z |
institution | BVB |
isbn | 9780511565724 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029352659 |
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physical | 1 online resource (xii, 388 pages) |
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publishDate | 1969 |
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publisher | Cambridge University Press |
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spelling | Hall, F. M. Verfasser aut An introduction to abstract algebra, Volume 2 by F. M. Hall Cambridge Cambridge University Press 1969 1 online resource (xii, 388 pages) txt rdacontent c rdamedia cr rdacarrier Title from publisher's bibliographic system (viewed on 05 Oct 2015) The second volume continues the course of study started in Volume 1, but may be used independently by those already possessing an elementary knowledge of the subject. A summary of basic group theory is followed by accounts of group homomorphisms, rings, fields and integral domains. The related concepts of an invariant subgroup and an ideal in a ring are brought in and the reader introduced to vector spaces and Boolean algebra. The theorems behind the abstract work and the reasons for their importance are discussed in greater detail than is usual at this level. The book is intended both for those who, educated in traditional mathematics, wish to know something about modern algebra and also for those already familiar with the elements of the subject who wish to study further. Fresh ideas and structures are introduced gradually and in a simpler manner, with concrete examples and much more informal discussion. There are many graded exercises, including some worked examples. This book is thus suitable both for the student working by himself without the aid of the teacher and for those taking formal courses in universities or colleges of education Algebra, Abstract Erscheint auch als Druckausgabe 978-0-521-07055-3 Erscheint auch als Druckausgabe 978-0-521-29862-9 https://doi.org/10.1017/CBO9780511565724 Verlag URL des Erstveröffentlichers Volltext |
spellingShingle | Hall, F. M. An introduction to abstract algebra, Volume 2 Algebra, Abstract |
title | An introduction to abstract algebra, Volume 2 |
title_auth | An introduction to abstract algebra, Volume 2 |
title_exact_search | An introduction to abstract algebra, Volume 2 |
title_full | An introduction to abstract algebra, Volume 2 by F. M. Hall |
title_fullStr | An introduction to abstract algebra, Volume 2 by F. M. Hall |
title_full_unstemmed | An introduction to abstract algebra, Volume 2 by F. M. Hall |
title_short | An introduction to abstract algebra, Volume 2 |
title_sort | an introduction to abstract algebra volume 2 |
topic | Algebra, Abstract |
topic_facet | Algebra, Abstract |
url | https://doi.org/10.1017/CBO9780511565724 |
work_keys_str_mv | AT hallfm anintroductiontoabstractalgebravolume2 |