Preface
Acknowledgements
Figure Credits
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 Bernoulli: 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
Index