Graduate Texts in Mathematics
2 primary works
Book 119
A clear exposition, with exercises, of the basic ideas of algebraic topology. Suitable for a two-semester course at the beginning graduate level, it assumes a knowledge of point set topology and basic algebra. Although categories and functors are introduced early in the text, excessive generality is avoided, and the author explains the geometric or analytic origins of abstract concepts as they are introduced.
Book 148
Anyone who has studied abstract and linear algebra as an undergraduate will have the background to understand this book. The first six chapters provide ample material for a first course, beginning with the basic properties of groups and homomorphisms. The next section of text uses the Jordan-Holder Theorem to organize a discussion of extensions and simple groups. The book closes with three chapters on infinite Abelian groups, free groups and a complete proof of the unsolvability of the word problem for finitely presented groups.