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E-raamat: Leonhard Euler and the Bernoullis: Mathematicians from Basel

  • Formaat: EPUB+DRM
  • Ilmumisaeg: 18-Sep-2009
  • Kirjastus: A K Peters
  • Keel: eng
  • ISBN-13: 9781040187074
  • Formaat - EPUB+DRM
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  • Formaat: EPUB+DRM
  • Ilmumisaeg: 18-Sep-2009
  • Kirjastus: A K Peters
  • Keel: eng
  • ISBN-13: 9781040187074

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"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

Arvustused

the story told is interesting, and the author is to be complimented for her efforts to make it as historically accurate as possible. J. Johnson, CHOICE, June 2010

Tents attention to detail, both mathematically and historically, is excellent. Rob Bradley, London Mathematical Society, April 2010

an interesting and entertaining biography of Leonhard Euler (17071783) and of some of the Bernoullis, aimed at middle and high school students the book emphasizes day-to-day life and the relations between the mathematicians, especially the forever-squabbling Bernoullis. MAA Reviews, November 2009

Preface xi
Acknowledgements xv
Figure Credits
xix
The Bernoullis as Huguenots
1(6)
The Bernoulli Family in Frankfurt and Then Basel
7(6)
Jacob Makes His First Steps in the Study of Mathematics
13(8)
His Little Brother Johann ``Helps'' Jacob with Mathematics
21(6)
Having Completed His Studies in Philosophy and Theology, Jacob Moves On
27(6)
Jacob Travels to Geneva and Meets Elizabeth Waldkirch and Her Family
33(6)
Jacob Teaches Elizabeth Waldkirch to Read and Write Numbers and Words
39(8)
Sundials, and Tutoring in France
47(6)
Jacob Meets with Mathematicians in Paris
53(8)
Jacob Travels to Holland and England
61(4)
Jacob Settles into Life in Basel to Lecture and Learn
65(12)
Leibniz's Calculus vs. Newton's Fluxions
77(10)
Johann Bernoulli Grows Up
87(10)
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)
Daniel Bernoulli, the Paris Prize, and the Longitude Problem
129(4)
Leonhard Euler
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
161(8)
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)
Daniel Returns to Basel, and Leonhard Euler Becomes Professor of Mathematics at St. Petersburg
191(10)
Daniel Bernoulli: A Famous Scholar
201(6)
Leonhard Euler: Admired Professor at St. Petersburg
207(8)
Euler Becomes Blind in His Right Eye
215(4)
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)
Euler's Scientific Work in Berlin
237(8)
Euler's Work in Number Theory
245(6)
Magic Squares
251(4)
Catherine the Great Invites Euler to Return to St. Petersburg
255(8)
The Basel Clan
263(6)
Index 269
Tent grew up in western Massachusetts and graduated from Amherst Regional High School and Mt. Holyoke College. She has a second bachelors degree and a masters degree from University of Alabama at Birmingham. Tent retired from teaching middle school mathematics at the Altamont School in June 2007. She is the author of The Prince of Mathematics: Carl Friedrich Gauss and Emmy Noether: The Mother of Modern Algebra.