1. The Bernoullis as Huguenots -- 2. The Bernoulli family in Frankfurt and then Basel -- 3. Jacob makes his first steps in the study of mathematics -- 4. His little brother Johann 'helps' Jacob with mathematics -- 5. Having completed his studies in philosophy and theology, Jacob moves on -- 6. Jacob travels to Geneva and meets Elizabeth Waldkirch and her family -- 7. Jacob teaches Elizabeth Waldkirch to read and write numbers and words -- 8. Sundials, and tutoring in France -- 9. Jacob meets with mathematicians in Paris -- 10. Jacob travels to Holland and England -- 11. Jacob settles into life in Basel to lecture and learn -- 12. Leibniz's calculus vs. Newton's fluxions -- 13. Johann Bernoulli grows up -- 14. Two curves studied by the Bernoullis : the isochrone and the catenary -- 15. More mathematical challenges from the Bernoullis -- 16. Jacob Bernoulli's mathematics -- 17. Johann Bernoulli returns to Basel with his family -- 18. Johann Bernoulli's son Daniel grows up -- 19. Daniel Bernoulli, the Paris prize, and the longitude problem -- 20. Leonhard Euler -- 21. Leonhard Euler's early education -- 22. Leonhard Euler goes to the Latin school in Basel and then on to the university -- 23. Daniel and Nicolaus Bernoulli receive a call to the academy at St. Petersburg -- 24. The Academy of Sciences at St. Petersburg -- 25. Euler begins his career and moves to St. Petersburg -- 26. Daniel Bernoulli and Leonhard Euler : an active scientific partnership -- 27. The St. Petersburg paradox -- 28. Euler's early work in St. Petersburg -- 29. Daniel returns to Basel, and Leonhard Euler becomes professor of mathematics at St. Petersburg -- 30. Daniel Bernhoulli : a famous scholar -- 31. Leonhard Euler : admired professor at St. Petersburg -- 32. Euler becomes blind in his right eye -- 33. St. Petersburg loses Euler to Frederick the Great of Prussia -- 34. The Eulers arrive at the court of Frederick the Great in Berlin -- 35. Euler's scientific work in Berlin -- 36. Euler's work in number theory -- 37. Magic squares -- 38. Catherine the Great invites Euler to return to St. Petersburg -- 39. The Basel clan.