Books in brief
The Rising Sea: Foundations of Algebraic Geometry
Author: Ravi Vakil
Via Princeton University Press
“An accessible, motivated introduction to one of the most dynamic areas of mathematics . . . This book provides a thorough foundation in the powerful ideas that now shape the landscape, with an informal yet rigorous exposition that builds intuition for understanding the formidable machinery. It begins with a discussion of categorical thinking and sheaves and then develops the notion of schemes and varieties as examples of ‘geometric spaces’ before discussing their specific aspects. The book goes on to cover topics such as dimension and smoothness, vector bundles and their natural generalizations, and important cohomological tools and their applications.”
Vakil is the Robert Grimmett Professor of Mathematics in the Department of Mathematics.
