From Book News, Inc.
This "geometrically flavored" introduction to algebraic topology can serve as a text for a standard graduate course and as a background reference for many additional topics that do not usually fit into such a course. Material is written for students and researchers from other areas of mathematics encountering the subject for the first time. The four main chapters present the basic core material of algebraic topology, covering fundamental groups, homology, cohomology, and higher homotopy groups. Each chapter concludes with a generous selection of optional topics, accounting for nearly half the book. The author teaches mathematics at Cornell University.Book News, Inc.®, Portland, OR


In most major universities one of the three or four basic first-year graduate mathematics courses is algebraic topology. This introductory text is suitable for use in a course on the subject or for self-study, featuring broad coverage and a readable exposition, with many examples and exercises. The four main chapters present the basics: fundamental group and covering spaces, homology and cohomology, higher homotopy groups, and homotopy theory generally. The author emphasizes the geometric read more ... Read more

THE AMERICAN MATHEMATICAL MONTHLY
"a fine introduction to the study of algebraic geometry and commutative algebra…an excellent introduction to Buchberger theory and other computational methods."


Algebraic Geometry is the study of systems of polynomial equations in one or more variables, asking such questions as: Does the system have finitely many solutions, and if so how can one find them? And if there are infinitely many solutions, how can they be described and manipulated?The solutions of a system of polynomial equations form a geometric object called a variety; the corresponding algebraic object is an ideal. There is a close relationship between ideals and varieties which reveals the read more ... Read more