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,...
| Главный автор: | |
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| Формат: | Электронная книга |
| Язык: | English |
| Публикация: |
Berlin ; Boston
De Gruyter,
[2022]
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| Редактирование: | 3rd, extended edition. |
| Серии: | De Gruyter graduate.
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| Предметы: | |
| Online-ссылка: | EBSCOhost Перейти в каталог НБ ТГУ |
| LEADER | 03479cam a2200541 i 4500 | ||
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| 020 | |z 3110686104 |q (paperback) | ||
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| 049 | |a MAIN | ||
| 100 | 1 | |a Robinson, Derek John Scott |9 89030 | |
| 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] | |
| 300 | |a 1 online resource (xvi, 440 pages) |b illustrations | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a De Gruyter graduate | |
| 588 | 0 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 02. Mrz 2022). | |
| 504 | |a Includes bibliographical references and index. | ||
| 505 | 0 | 0 | |t Sets, relations and functions -- |t The integers -- |t Introduction to groups -- |t Quotient groups and homomorphisms -- |t Groups acting on sets -- |t Introduction to rings -- |t Division in commutative rings -- |t Vector spaces -- |t Introduction to modules -- |t The structure of groups -- |t The theory of fields -- |t Galois theory -- |t Tensor products -- |t Representations of groups -- |t Presentations of groups -- |t Introduction to category theory -- |t Applications. |
| 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. | ||
| 653 | 0 | |a Algebra, Abstract. | |
| 653 | 4 | |a Algebra. | |
| 653 | 4 | |a Angewandte Mathematik. | |
| 653 | 4 | |a Gruppentheorie. | |
| 653 | 7 | |a Algebra, Abstract. |2 fast |0 (OCoLC)fst00804919 | |
| 655 | 0 | |a EBSCO eBooks |9 905790 | |
| 830 | 0 | |a De Gruyter graduate. |9 899835 | |
| 856 | 4 | 0 | |3 EBSCOhost |u https://www.lib.tsu.ru/limit/2023/EBSCO/3127968.pdf |
| 856 | |y Перейти в каталог НБ ТГУ |u https://koha.lib.tsu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=1012790 | ||
| 910 | |a EBSCO eBooks | ||
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