Elements of Abstract Algebra Clark Allan Paperback
Elements of Abstract Algebra Clark Allan Paperback This concise, readable, college-level text treats basic abstract algebra in remarkable depth and detail. Chapter II (Group Theory) is a rigorous…
Specifikacia Elements of Abstract Algebra Clark Allan Paperback
Elements of Abstract Algebra Clark Allan Paperback
This concise, readable, college-level text treats basic abstract algebra in remarkable depth and detail. Chapter II (Group Theory) is a rigorous introduction to groups. An antidote to the usual surveys of structure, the book presents group theory, Galois theory, and classical ideal theory in a framework emphasizing proof of important theorems.Chapter I (Set Theory) covers the basics of sets.
Chapter III (Field Theory) reviews linear algebra and introduces fields as a prelude to Galois theory. It contains all the results needed for Galois theory as well as the Sylow theorems, the Jordan-Holder theorem, and a complete treatment of the simplicity of alternating groups. In addition there is a full discussion of the constructibility of regular polygons.
Chapter IV (Galois Theory) gives a thorough treatment of this classical topic, including a detailed presentation of the solvability of