Leonhard Euler and the Bernoullis : mathematicians from Basel

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Leonhard Euler and the Bernoullis : mathematicians from Basel

M.B.W. Tent

A K Peters, c2009

Available at  / 2 libraries

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Includes index

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Description

"Leonhard Euler and the Bernoullis is a fascinating tale of the Bernoulli family and Euler's association with them. Successful merchants in the 16th and 17th centuries, the Bernoullis were driven out of Antwerp during the persecution of the Huguenots and settled first in Frankfurt, and then in Basel, where one of the most remarkable mathematical dynasties evolved with Jacob, Johann, and Daniel Bernoulli the most prominent among them. Euler, fortunate to have had Johann Bernoulli as a tutor, quickly rose to prominence in the academies of Berlin and St. Petersburg, and became the most prolific and profound mathematician that ever lived. The story of these remarkable men, their great ambitions and dedication to their science-often against parental authority-is skillfully told by the author. Refreshing fictional dialogue is interspersed throughout into an otherwise accurate historical scenario. The book is intended for the young adult audience of middle school and early high school ages, but surely will also appeal to a general audience, with or without mathematical background." --Walter Gautschi, Purdue University

Table of Contents

The Bernoullis as Huguenots The Bernoulli Family in Frankfurt and Then Basel Jacob Makes His First Steps in the Study of Mathematics His Little Brother Johann "Helps" Jacob with Mathematics Having Completed His Studies in Philosophy and Theology, Jacob Moves On Jacob Travels to Geneva and Meets Elizabeth Waldkirch and Her Family Jacob Teaches Elizabeth Waldkirch to Read and Write Numbers and Words Sundials, and Tutoring in France Jacob Meets with Mathematicians in Paris Jacob Travels to Holland and England Jacob Settles into Life in Basel to Lecture and Learn Leibniz's Calculus vs. Newton's Fluxions Johann Bernoulli Grows Up Two Curves Studied by the Bernoullis: The Isochrone and the Catenary More Mathematical Challenges from the Bernoullis Jacob Bernoulli's Mathematics Johann Bernoulli Returns to Basel with His Family Johann Bernoulli's Son Daniel Grows Up Daniel Bernoulli, the Paris Prize, and the Longitude Problem Leonhard Euler Leonhard Euler's Early Education Leonhard Euler Goes to the Latin School in Basel and Then on to the University Daniel and Nicolaus Bernoulli Receive a Call to the Academy at St. Petersburg The Academy of Sciences at St. Petersburg Euler Begins His Career and Moves to St. Petersburg Daniel Bernoulli and Leonhard Euler: An Active Scientific Partnership The St. Petersburg Paradox Euler's Early Work in St. Petersburg Daniel Returns to Basel, and Leonhard Euler Becomes Professor of Mathematics at St. Petersburg Daniel Bernoulli: A Famous Scholar Leonhard Euler: Admired Professor at St. Petersburg Euler Becomes Blind in His Right Eye St. Petersburg Loses Euler to Frederick the Great of Prussia The Eulers Arrive at the Court of Frederick the Great in Berlin Euler's Scientific Work in Berlin Euler's Work in Number Theory Magic Squares Catherine the Great Invites Euler to Return to St. Petersburg The Basel Clan

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