Abstract algebra: an introduction with applications
This is a high level introduction to abstract algebra which is aimed at readers whose interests lie in mathematics and the information and physical sciences. In addition to introducing the main concepts of modern algebra – groups, rings, modules and fields – the book contains numerous applications,...
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin/Boston
De Gruyter
[2022]
|
| Edition: | 3rd, extended edition |
| Series: | De Gruyter graduate
|
| Subjects: | |
| Summary: | This is a high level introduction to abstract algebra which is aimed at readers whose interests lie in mathematics and the information and physical sciences. In addition to introducing the main concepts of modern algebra – groups, rings, modules and fields – the book contains numerous applications, which are intended to illustrate the concepts and to show the utility and relevance of algebra today. In particular applications to Polya coloring theory, latin squares, Steiner systems, error correcting codes and economics are described. There is ample material here for a two semester course in abstract algebra. Proofs of almost all results are given. The reader led through the proofs in gentle stages. There are more than 500 problems, of varying degrees of diffi culty. The book should be suitable for advanced undergraduate students in their fi nal year of study and for fi rst or second year graduate students at a university in Europe or North America. In this third edition three new chapters have been added: an introduction to the representation theory of fi nite groups, free groups and presentations of groups, an introduction to category theory |
| Physical Description: | XV, 440 Seiten Diagramme |
| ISBN: | 9783110686104 |
Staff View
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Record in the Search Index
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| illustrated | Not Illustrated |
| index_date | 2024-07-03T19:50:02Z |
| indexdate | 2024-07-10T09:32:20Z |
| institution | BVB |
| isbn | 9783110686104 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-033599047 |
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| physical | XV, 440 Seiten Diagramme |
| publishDate | 2022 |
| publishDateSearch | 2022 |
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| publisher | De Gruyter |
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| spelling | Robinson, Derek John Scott 1938- Verfasser (DE-588)1017969213 aut Abstract algebra an introduction with applications Derek J. S. Robinson 3rd, extended edition Berlin/Boston De Gruyter [2022] © 2022 XV, 440 Seiten Diagramme txt rdacontent n rdamedia nc rdacarrier De Gruyter graduate This is a high level introduction to abstract algebra which is aimed at readers whose interests lie in mathematics and the information and physical sciences. In addition to introducing the main concepts of modern algebra – groups, rings, modules and fields – the book contains numerous applications, which are intended to illustrate the concepts and to show the utility and relevance of algebra today. In particular applications to Polya coloring theory, latin squares, Steiner systems, error correcting codes and economics are described. There is ample material here for a two semester course in abstract algebra. Proofs of almost all results are given. The reader led through the proofs in gentle stages. There are more than 500 problems, of varying degrees of diffi culty. The book should be suitable for advanced undergraduate students in their fi nal year of study and for fi rst or second year graduate students at a university in Europe or North America. In this third edition three new chapters have been added: an introduction to the representation theory of fi nite groups, free groups and presentations of groups, an introduction to category theory Algebra (DE-588)4001156-2 gnd rswk-swf Universelle Algebra (DE-588)4061777-4 gnd rswk-swf Hardcover, Softcover / Mathematik Universelle Algebra (DE-588)4061777-4 s DE-604 Algebra (DE-588)4001156-2 s Erscheint auch als Online-Ausgabe, PDF 978-3-11-069116-0 Erscheint auch als Online-Ausgabe, EPUB 978-3-11-069121-4 |
| spellingShingle | Robinson, Derek John Scott 1938- Abstract algebra an introduction with applications Algebra (DE-588)4001156-2 gnd Universelle Algebra (DE-588)4061777-4 gnd |
| subject_GND | (DE-588)4001156-2 (DE-588)4061777-4 |
| title | Abstract algebra an introduction with applications |
| title_auth | Abstract algebra an introduction with applications |
| title_exact_search | Abstract algebra an introduction with applications |
| title_exact_search_txtP | Abstract algebra an introduction with applications |
| title_full | Abstract algebra an introduction with applications Derek J. S. Robinson |
| title_fullStr | Abstract algebra an introduction with applications Derek J. S. Robinson |
| title_full_unstemmed | Abstract algebra an introduction with applications Derek J. S. Robinson |
| title_short | Abstract algebra |
| title_sort | abstract algebra an introduction with applications |
| title_sub | an introduction with applications |
| topic | Algebra (DE-588)4001156-2 gnd Universelle Algebra (DE-588)4061777-4 gnd |
| topic_facet | Algebra Universelle Algebra |
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