Isbn: 9781108958233 - algebra: notes from the underground (cambridge mathematical textbooks) (5 Ergebnisse)

Zustand: New. In.

Zustand: New. 2021. Paperback. . . . . . Books ship from the US and Ireland.

Paperback. Zustand: Brand New. 425 pages. 9.61x6.65x1.10 inches. In Stock.

Zustand: New. This conversational introduction to abstract algebra takes a modern, rings-first approach. In addition to its unconventional order of classical material, another key feature is the treatment of topics often neglected in undergraduate textbooks, such as modu.

Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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.…