Computations in Algebraic Geometry with Macaulay Book

Part I. Introducing Macaulay 2: 1. Ideals, Varieties and Macaulay 2 by Bernd Sturmfels.- 2. Projective Geometry and Homological Algebra by David Eisenbud.- 3. Data Types, Functions, and Programming by Daniel R. Grayson and Michael E. Stillman.- 4. Teaching the Geometry of Schemes by Gregory G. Smith and Bernd Sturmfels.- Part II. Mathematical Computations: 5. Monomial Ideals by Serkan Hosten and Gregory G. Smith.- 6. From Enumerative Geometry to Solving Systems of Polynomial Equations by Frank Sottile.- 7. Resolutions and Cohomology over Complete Intersections by Luchezar L. Avramov and Daniel R. Grayson.- 8. Algorithms for the Toric Hilbert Scheme by Stillman, Bernd Sturmfels, and Rekha Thomas.- 9. Sheaf Algorithms Using the Exterior Algebra by Wolfram Decker and David Eisenbud.- 10. Needles in a Haystack: Special Varieties via Small Fields by Frank-Olaf Schreyer and Fabio Tonoli.- 11.D-modules and Cohomology of Varieties by Uli Walther.