1. Rational Equivalence. - 2. Divisors. - 3. Vector Bundles and Chern Classes. - 4. Cones and Segre Classes. - 5. Deformation to the Normal Cone. - 6. Intersection Products. - 7. Intersection Multiplicities. - 8. Intersections on Non-singular Varieties. - 9. Excess and Residual Intersections. - 10. Families of Algebraic Cycles. - 11. Dynamic Intersections. - 12. Positivity. - 13. Rationality. - 14. Degeneracy Loci and Grassmannians. - 15. Riemann-Roch for Non-singular Varieties. - 16. Correspondences. - 17. Bivariant Intersection Theory. - 18. Riemann-Roch for Singular Varieties. - 19. Algebraic Homological and Numerical Equivalence. - 20. Generalizations. - Appendix A. Algebra. - Appendix B. Algebraic Geometry (Glossary). - Notation. Language: English