Introductory Modern Algebra: A Historical Appro... -
: Discusses constructibility with ruler and compass, including the constructibility of the regular 17-sided polygon.
: 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 : Introductory Modern Algebra: A Historical Appro...
: Chapters 8–11 use permutation groups to explain multivariate functions and the mechanics of the 15-puzzle. Key Topics and Features Introductory Modern Algebra: A Historical Appro...
Introductory Modern Algebra: A Historical Approach: Stahl, Saul 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.
: Chapters 4–7 explore fields, centered on the Primitive Element Theorem as a unifying concept.