Macaulay2

Menu

Preface

• Copyright and license
• Acknowledgements
• The authors
• Other sources of information about Macaulay 2

For the New User

• getting started

Mathematical Objects

• rings
• ideals
• matrices
• substitution and maps between rings
• modules
• chain complexes
• varieties
• Groebner bases

Some Mathematical Computations

• normal forms
• Hilbert functions
• elimination of variables
• syzygies
• saturation
• fibers of a map between varieties
• solving systems of polynomial equations
• integralClosure -- compute the integral closure of a ring
• primaryDecomposition -- irredundant primary decomposition of an ideal
• combinatorial functions

The Macaulay 2 Language

• The Macaulay2 language

Packages

• packages provided with Macaulay 2

Developer's Corner

• handling hypertext

Appendix

• mathematical examples
• basic commutative algebra
• frequently encountered problems
• replacements for commands and scripts from Macaulay
• how Macaulay 2 finds its files

Reference material

• Type -- the class of all types
• Function -- the class of all functions