Abstract Algebra : : An Introduction with Applications / / Derek J.S. Robinson.
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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| Superior document: | Title is part of eBook package: De Gruyter DG Plus DeG Package 2022 Part 1 |
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| Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2022] ©2022 |
| Year of Publication: | 2022 |
| Edition: | 3rd, extended edition |
| Language: | English |
| Series: | De Gruyter Textbook
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| Online Access: | |
| Physical Description: | 1 online resource (XVI, 440 p.) |
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| 100 | 1 | |a Robinson, Derek J.S., |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Abstract Algebra : |b An Introduction with Applications / |c Derek J.S. Robinson. |
| 250 | |a 3rd, extended edition | ||
| 264 | 1 | |a Berlin ; |a Boston : |b De Gruyter, |c [2022] | |
| 264 | 4 | |c ©2022 | |
| 300 | |a 1 online resource (XVI, 440 p.) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 0 | |a De Gruyter Textbook | |
| 505 | 0 | 0 | |t Frontmatter -- |t Preface -- |t Contents -- |t List of symbols -- |t 1 Sets, Relations and Functions -- |t 2 The Integers -- |t 3 Introduction to Groups -- |t 4 Quotient groups and Homomorphisms -- |t 5 Groups Acting on Sets -- |t 6 Introduction to rings -- |t 7 Division in Commutative Rings -- |t 8 Vector Spaces -- |t 9 Introduction to Modules -- |t 10 The Structure of Groups -- |t 11 The Theory of Fields -- |t 12 Galois Theory -- |t 13 Tensor Products -- |t 14 Representations of groups -- |t 15 Presentations of groups -- |t 16 Introduction to category theory -- |t 17 Applications -- |t Bibliography -- |t Index |
| 506 | 0 | |a restricted access |u http://purl.org/coar/access_right/c_16ec |f online access with authorization |2 star | |
| 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. | ||
| 530 | |a Issued also in print. | ||
| 538 | |a Mode of access: Internet via World Wide Web. | ||
| 546 | |a In English. | ||
| 588 | 0 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 02. Mai 2023) | |
| 650 | 0 | |a Algebra, Abstract |v Textbooks. | |
| 650 | 4 | |a Algebra. | |
| 650 | 4 | |a Angewandte Mathematik. | |
| 650 | 4 | |a Gruppentheorie. | |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t DG Plus DeG Package 2022 Part 1 |z 9783110766820 |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t EBOOK PACKAGE COMPLETE 2022 English |z 9783110993899 |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t EBOOK PACKAGE COMPLETE 2022 |z 9783110994810 |o ZDB-23-DGG |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t EBOOK PACKAGE Mathematics 2022 English |z 9783110993868 |
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| 776 | 0 | |c EPUB |z 9783110691214 | |
| 776 | 0 | |c print |z 9783110686104 | |
| 856 | 4 | 0 | |u https://doi.org/10.1515/9783110691160 |
| 856 | 4 | 0 | |u https://www.degruyter.com/isbn/9783110691160 |
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