| Preface |
|
xi | |
| Acknowledgements |
|
xv | |
|
|
|
xix | |
|
The Bernoullis as Huguenots |
|
|
1 | (6) |
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The Bernoulli Family in Frankfurt and Then Basel |
|
|
7 | (6) |
|
Jacob Makes His First Steps in the Study of Mathematics |
|
|
13 | (8) |
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His Little Brother Johann ``Helps'' Jacob with Mathematics |
|
|
21 | (6) |
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Having Completed His Studies in Philosophy and Theology, Jacob Moves On |
|
|
27 | (6) |
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Jacob Travels to Geneva and Meets Elizabeth Waldkirch and Her Family |
|
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33 | (6) |
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Jacob Teaches Elizabeth Waldkirch to Read and Write Numbers and Words |
|
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39 | (8) |
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Sundials, and Tutoring in France |
|
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47 | (6) |
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Jacob Meets with Mathematicians in Paris |
|
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53 | (8) |
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Jacob Travels to Holland and England |
|
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61 | (4) |
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Jacob Settles into Life in Basel to Lecture and Learn |
|
|
65 | (12) |
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Leibniz's Calculus vs. Newton's Fluxions |
|
|
77 | (10) |
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Johann Bernoulli Grows Up |
|
|
87 | (10) |
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Two Curves Studied by the Bernoullis: The Isochrone and the Catenary |
|
|
97 | (6) |
|
More Mathematical Challenges from the Bernoullis |
|
|
103 | (6) |
|
Jacob Bernoulli's Mathematics |
|
|
109 | (8) |
|
Johann Bernoulli Returns to Basel with His Family |
|
|
117 | (6) |
|
Johann Bernoulli's Son Daniel Grows Up |
|
|
123 | (6) |
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Daniel Bernoulli, the Paris Prize, and the Longitude Problem |
|
|
129 | (4) |
|
|
|
133 | (6) |
|
Leonhard Euler's Early Education |
|
|
139 | (4) |
|
Leonhard Euler Goes to the Latin School in Basel and Then on to the University |
|
|
143 | (6) |
|
Daniel and Nicolaus Bernoulli Receive a Call to the Academy at St. Petersburg |
|
|
149 | (8) |
|
The Academy of Sciences at St. Petersburg |
|
|
157 | (4) |
|
Euler Begins His Career and Moves to St. Petersburg |
|
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161 | (8) |
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Daniel Bernoulli and Leonhard Euler: An Active Scientific Partnership |
|
|
169 | (8) |
|
The St. Petersburg Paradox |
|
|
177 | (4) |
|
Euler's Early Work in St. Petersburg |
|
|
181 | (10) |
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Daniel Returns to Basel, and Leonhard Euler Becomes Professor of Mathematics at St. Petersburg |
|
|
191 | (10) |
|
Daniel Bernoulli: A Famous Scholar |
|
|
201 | (6) |
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Leonhard Euler: Admired Professor at St. Petersburg |
|
|
207 | (8) |
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Euler Becomes Blind in His Right Eye |
|
|
215 | (4) |
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St. Petersburg Loses Euler to Frederick the Great of Prussia |
|
|
219 | (6) |
|
The Eulers Arrive at the Court of Frederick the Great in Berlin |
|
|
225 | (12) |
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Euler's Scientific Work in Berlin |
|
|
237 | (8) |
|
Euler's Work in Number Theory |
|
|
245 | (6) |
|
|
|
251 | (4) |
|
Catherine the Great Invites Euler to Return to St. Petersburg |
|
|
255 | (8) |
|
|
|
263 | (6) |
| Index |
|
269 | |