Abstract Algebra
by David S. Dummit, Richard M. Foote · David S. Dummit, Richard M. Foote
The standard comprehensive reference for a first and second course in algebra, covering groups, rings, modules, and fields through Galois theory, with enough worked detail and exercises to serve as a self-study source.
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Wolfram MathWorld
MathWorld is an online mathematics encyclopedia from Wolfram Research offering detailed, browsable articles on topics across the math spectrum, including algebra, geometry, calculus, and number theory. Each entry includes definitions, theorems, formulas, diagrams, worked examples, and links to further reading.
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3Blue1Brown video introducing groups through symmetry actions, then using the multiplicative and additive groups of numbers to explain why exponentials turn addition into multiplication and what Euler's formula means geometrically, building visual intuition for group actions and homomorphisms.
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Learn group theory basics with N J Wildberger's "Introduction to Groups, Rings and Fields" course. Start your abstract algebra journey today!
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A gentler first pass through groups, rings, and fields, building each idea from concrete examples before the abstraction, with graded exercises that make it workable without an instructor. Commonly assigned before Dummit and Foote.