Preface; 1. Exterior algebra; 2. Differential forms on open subsets of Rn; 3. Metric structures; 4. Gauge theories; 5. Einstein-Cartan theory; 6. The Lie derivative; 7. Manifolds; 8. Lie groups; 9. Fibre bundles; 10. Monopoles, instantons, and related fibre bundles; 11. Spin; 12. An algebraic approach to anomalies; 13. Anomalies from graphs; References; Bibliography; Notation; Index.