Leonhard Euler and the Bernoullis: Mathematicians from Basel

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CRC Press, Sep 18, 2009 - Mathematics - 296 pages
"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

 

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It is disappointing that this work, seemingly an authoritative history, continues the persistent misattribution to Euler of the magic knight's tour published by William Beverley in the Philosophical Magazine in 1848. Euler did write on knight's tours and on magic squares but did not achieve the combination of them. See http://www.mayhematics.com/t/1d.htm for detailed history of the subject. 

Contents

Chapter 1
1
Chapter 2
7
Chapter 3
13
Chapter 4
21
Chapter 5
27
Chapter 6
33
Chapter 7
39
Chapter 8
47
Chapter 22
143
Chapter 23
149
Chapter 24
157
Chapter 25
161
Chapter 26
169
Chapter 27
177
Chapter 28
181
Chapter 29
191

Chapter 9
53
Chapter 10
61
Chapter 11
65
Chapter 12
77
Chapter 13
87
Chapter 14
97
Chapter 15
103
Chapter 16
109
Chapter 17
117
Chapter 18
123
Chapter 19
129
Chapter 20
133
Chapter 21
139
Chapter 30
201
Chapter 31
207
Chapter 32
215
Chapter 33
219
Chapter 34
225
Chapter 35
237
Chapter 36
245
Chapter 37
251
Chapter 38
255
Chapter 39
263
Back Flap
269
Back Cover
270
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