Includes bibliographical references (pages 447-462) and indexes
1. Motivation -- 2. Ergodicity, recurrence and mixing -- 3. Continued fractions -- 4. Invariant measures for continuous maps -- 5. conditional measures and algebras -- 6. Factors and joinings -- 7. Furstenberg's proof of Szemerédi's theorem -- 8. Actions of locally compact groups -- 9. Geodesic flow on quotients of the hyperbolic plane -- 10. Nilrotation -- 11. More dynamics on quotients of the hyperbolic plane