The exercises in Topics in Algebra are famous—and infamous. They are not computational drills. They are theoretical mini-lectures. Many problems are actually extensions of the text (e.g., “If G is a group in which every element is of order 2, prove G is abelian”). Working through Herstein’s problems forces you to discover lemmas that are themselves theorems in other books. This is why many professors claim: If you solve 80% of Herstein’s problems, you know algebra better than most first-year graduate students.
: Introduces fundamental concepts such as normal subgroups, quotient groups, and the Sylow theorems. Ring Theory topics in algebra herstein pdf better
The phrase is often typed by self-learners, not just students. For self-study, is Herstein truly superior? The exercises in Topics in Algebra are famous—and infamous
Topics in Algebra is often praised for its "lucid" and "inviting" writing style, which reflects Herstein's reputation as an exceptional teacher. Many problems are actually extensions of the text (e
A “better” PDF of Herstein does not officially exist. The best you can find is a clean, OCR’d scan from the Internet Archive or a university repository.
The book is divided into several chapters, covering the following topics:
The book is structured into several key chapters that define the study of modern algebra: