Reviewers from the Mathematical Association of America (MAA) describe it as an excellent choice for a one- or two-semester course, particularly for students who may find purely axiomatic proof-heavy courses intimidating. It is praised for its "doable" exercises that stimulate student engagement.
: The text follows a "paper trail" starting with the Renaissance-era solutions of cubic and quartic equations and concluding with the work of Évariste Galois.
: Chapters 1–3 focus on formalizing what it means to solve an equation by radicals. Introductory Modern Algebra: A Historical Appro...
Stahl's "example-abstract" approach emphasizes that modern algebra evolved as a response to concrete problems, primarily the solvability of equations.
: Discusses constructibility with ruler and compass, including the constructibility of the regular 17-sided polygon. Reviewers from the Mathematical Association of America (MAA)
: Chapters 4–7 explore fields, centered on the Primitive Element Theorem as a unifying concept.
: The second edition contains over 1,000 exercises, many of which focus on non-routine computations and verifications rather than just abstract proofs. Critical Reception : Chapters 1–3 focus on formalizing what it
: Unlike traditional texts, abstract definitions like "group" are often delayed until several weeks into the course, ensuring students first understand the problems these structures were built to solve. Key Milestones :