Preface
Acknowledgements
The Magma Language
Sets, Sequences, and Mappings
Basic Rings
Matrices and Linear Algebra
Lattices and Quadratic Forms
Global Fields
Local Fields
Modules
Finite Groups
Finitely-Presented Groups
Algebras
Representation Theory
Lie Theory
Commutative Algebra
Algebraic Geometry
Arithmetic Geometry
Modular Arithmetic Geometry
Topology
Geometry
Combinatorics
Coding Theory
Cryptography
Optimization
Index