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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| 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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| Online-ссылка: | EBSCOhost Перейти в каталог НБ ТГУ |
Оглавление:
- Sets, relations and functions
- The integers
- Introduction to groups
- Quotient groups and homomorphisms
- Groups acting on sets
- Introduction to rings
- Division in commutative rings
- Vector spaces
- Introduction to modules
- The structure of groups
- The theory of fields
- Galois theory
- Tensor products
- Representations of groups
- Presentations of groups
- Introduction to category theory
- Applications.