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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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin ; Boston
De Gruyter
[2022]
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| Ausgabe: | 3rd, extended edition |
| Schriftenreihe: | De Gruyter Textbook
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| Schlagworte: | |
| Online-Zugang: | DE-1043 DE-1046 DE-858 DE-Aug4 DE-898 DE-859 DE-860 DE-91 DE-706 DE-739 URL des Erstveröffentlichers |
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| Zusammenfassung: | 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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| Beschreibung: | Description based on online resource; title from PDF title page (publisher's Web site, viewed 02. Mrz 2022) |
| Beschreibung: | 1 Online-Ressource (XVI, 440 pages) |
| ISBN: | 9783110691160 |
| DOI: | 10.1515/9783110691160 |