Computations in Algebraic Geometry (Macaulay2) by David Eisenbud
Computations in Algebraic Geometry (Macaulay2) - Table of Contents
PART I: INTRODUCING MACAULAY2
- 1. Introduction to Ideals, Varieties and Macaulay2
- 2. Foundations of Projective Geometry and Homological Algebra
- 3. Programming Data Types, Functions, and Programming
- 4. Pedagogical Methods for Teaching the Geometry of Schemes
PART II: MATHEMATICAL COMPUTATIONS
- 5. Theory and Computation of Monomial Ideals
- 6. Applications From Enumerative Geometry to Solving Systems of Polynomial Equations
- 7. Computing Resolutions and Cohomology over Complete Intersections
- 8. Computational Algorithms for the Toric Hilbert Scheme
- 9. Implementation of Sheaf Algorithms Using the Exterior Algebra
- 10. Construction of Needles in a Haystack: Special Varieties via Small Fields
- 11. Advanced Theory of D-modules and Cohomology of Varieties
What You Will Learn in Computations in Algebraic Geometry (Macaulay2)
Studying Computations in Algebraic Geometry with Macaulay 2 by David Eisenbud serves as an indispensable reference for computer algebra and modern geometry. Accessing this computations in algebraic geometry with macaulay 2 pdf download enables mathematicians, graduate students, and researchers to master polynomial ideals, Hilbert functions, projective varieties, and computational commutative algebra.
Edited and co-authored by leading experts David Eisenbud, Daniel R. Grayson, Michael E. Stillman, and Bernd Sturmfels, this foundational computations in algebraic geometry with macaulay 2 book pdf connects theoretical algebraic geometry with practical algorithm execution, covering toric varieties, sheaf cohomology, and symbolic computation.
Available as an educational study reference via computations in algebraic geometry with macaulay 2 free pdf download, this fundamental text is crucial for anyone working in computer algebra systems, computational geometry, and algorithmic commutative algebra.
Book Details & Specifications
Title:
Computations in Algebraic Geometry (Macaulay2) by David Eisenbud
Publisher:
Cambridge University Press
Year:
2001
Pages:
334
Type:
PDF
Language:
English
ISBN-10 #:
B0CWDRVR62
ISBN-13 #:
978-3662048511
License:
External Educational Resource
Amazon:
Amazon
About the Author: David Eisenbud, Daniel R. Grayson, Michael E. Stillman, and Bernd Sturmfels
The author David Eisenbud, Daniel R. Grayson, Michael E. Stillman, and Bernd Sturmfels
is Professor of Mathematics at the University of California, Berkeley, and former Director of MSRI, internationally renowned for his landmark contributions to commutative algebra and algebraic geometry.
Co-edited alongside Macaulay2 co-creators Daniel R. Grayson, Michael E. Stillman, and Bernd Sturmfels, their joint volume computations in algebraic geometry with macaulay 2 by david eisenbud stands as the authoritative manual for algorithmic research in algebraic geometry.
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