Algebra
€ 54,90
Informação do Produto
| ISBN | 9781108958233 |
|---|---|
| Editora | Cambridge University Press |
| Data de Publicação | 03/06/2021 |
| Preço (iva excl.) | € 51,79 |
| Imposto | € 3,11 |
| Preço (iva inc.) | € 54,90 |
| Disponibilidade | 1 unidade em armazém externo |
Descrição do Produto
From rings to modules to groups to fields, this undergraduate introduction to abstract algebra follows an unconventional path. The text emphasizes a modern perspective on the subject, with gentle mentions of the unifying categorical principles underlying the various constructions and the role of universal properties. A key feature is the treatment of modules, including a proof of the classification theorem for finitely generated modules over Euclidean domains. Noetherian modules and some of the language of exact complexes are introduced. In addition, standard topics - such as the Chinese Remainder Theorem, the Gauss Lemma, the Sylow Theorems, simplicity of alternating groups, standard results on field extensions, and the Fundamental Theorem of Galois Theory - are all treated in detail. Students will appreciate the text''s conversational style, 400+ exercises, an appendix with complete solutions to around 150 of the main text problems, and an appendix with general background on basic logic and naïve set theory.