An accessible, motivated introduction to one of the most dynamic areas of mathematics

Decades ago, Mumford wrote that algebraic geometry “seems to have acquired the reputation of being esoteric, exclusive, and very abstract, with adherents who are secretly plotting to take over all the rest of mathematics.” The revolution has now fully come to pass and has fundamentally changed how we think about many fields 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. Important optional topics are included in starred sections.

Provides a comprehensive introduction certain to become the standard on the subject
Features a wealth of exercises that enable students to learn by doing
Requires few prerequisites, developing the tools students need to succeed, from category theory and sheaf theory to commutative and homological algebra
Uses an example-driven approach that builds mathematical intuition
Is a self-contained textbook for graduate students and an essential reference for researchers

About the Author

Ravi Vakil is the Robert Grimmett Professor of Mathematics at Stanford University and president of the American Mathematical Society. He is the author of A Mathematical Mosaic: Patterns and Problem Solving.

"About this title" may belong to another edition of this title.

Store Description

We carry a comprehensive range of out of print and rare books.

Visit Seller's Storefront

Seller's business information

Kennys Bookshops and Art Galleries Limited
Liosban Industrial Estate, Tuam Road, Galway, GY, Ireland

Sale & Shipping Terms

Terms of Sale

We guarantee the condition of every book as it's described on the Abebooks websites.

If you're dissatisfied with your purchase (Incorrect Book/Not as Described/Damaged) or if the order hasn't arrived, you're eligible for a refund within 30 days of the estimated delivery date.

For any queries please use the contact seller link or send an email to books@kennys.ie

Conor Kenny

Shipping Terms

All books securely packaged. Some books ship from Ireland.

Shipping rates within U.S.A.

Shipping rates within U.S.A.
Order quantity	14 to 20 business days	13 to 14 business days
First item	US$ 10.50	US$ 21.00

Delivery times are set by sellers and vary by carrier and location. Orders passing through Customs may face delays and buyers are responsible for any associated duties or fees. Sellers may contact you regarding additional charges to cover any increased costs to ship your items.