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: | Electronic eBook |
| Language: | English |
| Published: |
Berlin ; Boston
De Gruyter
[2022]
|
| Edition: | 3rd, extended edition |
| Series: | De Gruyter Textbook
|
| Subjects: | |
| Online Access: | DE-1043 DE-1046 DE-858 DE-898 DE-859 DE-860 DE-91 DE-706 DE-739 Volltext |
| 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 |
| Item Description: | Description based on online resource; title from PDF title page (publisher's Web site, viewed 02. Mrz 2022) |
| Physical Description: | 1 Online-Ressource (XV, 440 Seiten) Diagramme |
| ISBN: | 9783110691160 9783110691214 |
| DOI: | 10.1515/9783110691160 |
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| 520 | |a 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 | ||
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| author | Robinson, Derek John Scott 1938- |
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| discipline | Mathematik |
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| doi_str_mv | 10.1515/9783110691160 |
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| illustrated | Not Illustrated |
| index_date | 2024-07-03T19:20:00Z |
| indexdate | 2025-03-31T14:10:03Z |
| institution | BVB |
| isbn | 9783110691160 9783110691214 |
| language | English |
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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 1 Online-Ressource (XV, 440 Seiten) Diagramme txt rdacontent c rdamedia cr rdacarrier De Gruyter Textbook Description based on online resource; title from PDF title page (publisher's Web site, viewed 02. Mrz 2022) 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 In English Algebra Angewandte Mathematik Gruppentheorie Algebra (DE-588)4001156-2 gnd rswk-swf Universelle Algebra (DE-588)4061777-4 gnd rswk-swf Universelle Algebra (DE-588)4061777-4 s DE-604 Algebra (DE-588)4001156-2 s Erscheint auch als Druck-Ausgabe 978-3-11-068610-4 (DE-604)BV048218272 https://doi.org/10.1515/9783110691160 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Robinson, Derek John Scott 1938- Abstract algebra an introduction with applications Algebra Angewandte Mathematik Gruppentheorie 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 Angewandte Mathematik Gruppentheorie Algebra (DE-588)4001156-2 gnd Universelle Algebra (DE-588)4061777-4 gnd |
| topic_facet | Algebra Angewandte Mathematik Gruppentheorie Universelle Algebra |
| url | https://doi.org/10.1515/9783110691160 |
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