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Thinking algebraically. An introduction to abstract algebra

. AMS/MAA Textb. Providence, RI: American Mathematical Society (AMS), (2021)

Abstract

This book, a perfect introductory algebra textbook, presents the insights of abstract algebra and introduces readers to the basic algebraic structures: fields, groups, rings vector spaces and others in a welcoming and accessible way. From a teaching perspective, one of the first choices an instructor intending to teach an undergraduate course in abstract algebra has to make. It succeeds in combining the advantages of rings and groups approaches while avoiding the disadvantages.

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