Visual Group Theory
Unknown
A book by Nathan Carter, published by the MAA (now AMS), that teaches group theory through Cayley diagrams, multiplication tables and other visualizations. Readers build intuition for subgroups, quotients, homomorphisms and Sylow theory before meeting the formal proofs.
More resources on Algebraic Structures
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.
Stack Exchange Abstract Algebra
Mathematics Stack Exchange questions tagged abstract-algebra, a large searchable archive of answered problems on groups, rings, fields and modules. Learners can find worked explanations of standard exercises and post their own questions when stuck on a proof.
Abstract Algebra - Dummit, Foote
Wiley textbook developing group theory, ring theory, modules, vector spaces, field and Galois theory, and introductions to commutative algebra, homological algebra and representation theory, with exercises. Readers learn to prove structural results and compute with groups, rings and fields at upper-undergraduate and graduate level.