Introductory Modern Algebra: A Historical Appro... < VALIDATED · 2025 >

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

: 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 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...

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

Introductory Modern Algebra: A Historical Approach by Saul Stahl, published by Wiley , is a unique undergraduate textbook that deviates from the standard axiomatic "group-then-ring-then-field" teaching method. Instead, it uses the historical quest to solve polynomial equations by radicals as a motivating narrative to introduce abstract concepts. Core Philosophy and Structure Key Topics and Features Much of modern algebra

: Includes classic topics like the Euclidean algorithm, Fermat’s Theorem, and RSA Encryption .

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. Core Philosophy and Structure : Includes classic topics

: The book integrates primary source excerpts from mathematicians like Al-Khwarizmi to give students context for the "drama of discovery".