Schemes:The Language of Modern Algebric Geometry (Wadsworth & Brooks/Cole Mathematics Series)

<p>Grothendieckâ€™s beautiful theory of schemes permeates modern algebraic geometry and underlies its applications to number theory, physics, and applied mathematics. This simple account of that theory emphasizes and explains the universal geometric concepts behind the definitions. In the book, concepts are illustrated with fundamental examples, and explicit calculations show how the constructions of scheme theory are carried out in practice.</p>

Science & Math

David Eisenbud

Mathematics

Springer

<p>This book presents algorithmic tools for algebraic geometry, with experimental applications. It also introduces Macaulay 2, a computer algebra system supporting research in algebraic geometry, commutative algebra, and their applications. The algorithmic tools presented here are designed to serve readers wishing to bring such tools to bear on their own problems. The first part of the book covers Macaulay 2 using concrete applications; the second emphasizes details of the mathematics. </p>

Computations in Algebraic Geometry with Macaulay 2

Computers & Technology

Bernd Sturmfels

Daniel R. Grayson

Michael Stillman

Computer Science

Commutative Algebra: With a View Toward Algebraic Geometry (Graduate Texts in Mathematics)

Springer-Verlag Berlin and Heidelberg GmbH & Co. K

The Geometry of Schemes (Graduate Texts in Mathematics)

Joe Harris

Springer, Verlag

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Books by David Eisenbud