Hardcover
Algebraic geometry’s revolution, explained accessibly for all.

The Rising Sea

Foundations of Algebraic Geometry

$404.32

  • Hardcover

    688 pages

  • Release Date

    27 January 2026

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Summary

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 …

Book Details

ISBN-13:9780691268668
ISBN-10:0691268665
Author:Ravi Vakil
Publisher:Princeton University Press
Imprint:Princeton University Press
Format:Hardcover
Number of Pages:688
Release Date:27 January 2026
Weight:1.54kg
Dimensions:178mm x 254mm
A-Format
B-Format
C-Format
The Rising Sea by Ravi Vakil - ISBN: 9780691268668
178 × 254 mm
A4
mm / in
What They're Saying

Critics Review

“Winner of the PROSE Award in Mathematics and Statistics, Association of American Publishers”
“This is the book we all wished we had had when we first approached algebraic geometry. In a famous post about rigor in mathematics, Terry Tao suggests that we should periodically revisit our intuitions on our own subject and that one way to do this is to ‘relearn your field.’ If I could afford the luxury of relearning my field, The Rising Sea would be my chosen source.”—Paolo Aluffi, The Mathematical Intelligencer
“I can think of no better endorsement of the book than to say that I desperately wanted to drop everything and read [The Rising Sea] cover to cover. For any up-and-coming algebraic geometers with the privilege of that time, do not miss the opportunity to learn this field with the depth and generosity that only Ravi Vakil can provide.”—Emily Clader, The American Mathematical Monthly

About The Author

Ravi Vakil

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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