Introductory Modern Algebra: A Historical Appro... -

Much of modern algebra has its roots in the solvability of equations by radicals. Most introductory modern algebra texts, however, Amazon.com Introductory Modern Algebra A Historical Approach

: 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 :

: Includes classic topics like the Euclidean algorithm, Fermat’s Theorem, and RSA Encryption . 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 Approach: Stahl, Saul Much of modern algebra has its roots in

: Chapters 4–7 explore fields, centered on the Primitive Element Theorem as a unifying concept.

: 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 8–11 use permutation groups to explain

: Discusses constructibility with ruler and compass, including the constructibility of the regular 17-sided polygon.