The Rising Sea: Foundations of Algebraic Geometry by Vakil, Ravi

The Rising Sea: Foundations of Algebraic Geometry

An accessible, motivated introduction to one of the most dynamic areas of mathematics Decades ago, Mumford wrote...
$132.97 AUD
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Author: Ravi Vakil
Format: Paperback
Language: English
Subtotal: $132.97

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The Rising Sea: Foundations of Algebraic Geometry by Vakil, Ravi

The Rising Sea: Foundations of Algebraic Geometry

$132.97

The Rising Sea: Foundations of Algebraic Geometry

$132.97
Author: Ravi Vakil
Format: Paperback
Language: English

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


Author: Ravi Vakil
Publisher: Princeton University Press
Published: 10/21/2025
Pages: 688
Binding Type: Paperback
Weight: 3.00lbs
Size: 10.00h x 6.90w x 1.70d
ISBN: 9780691268675

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.

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