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Mathematics LibreTexts

An Inquiry-Based Approach to Abstract Algebra (Ernst)

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This free and open-source textbook is designed to used with an inquiry-based learning (IBL) approach to a first-semester undergraduate abstract algebra course. The textbook starts with groups (up to the First Isomorphism Theorem) and finishes with an introduction to rings (up to quotients by maximal and prime ideals). While the textbook covers many of the standard topics, the focus is on building intuition and emphasizes visualization.

Thumbnail: A sold icosahedron. (CC BY-SA 3.0 Unported; Tomruen via Wikipedia


This page titled An Inquiry-Based Approach to Abstract Algebra (Ernst) is shared under a CC BY-SA 4.0 license and was authored, remixed, and/or curated by Dana Ernst via source content that was edited to the style and standards of the LibreTexts platform.

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