The Genius of Euler: Reflections on His Life and Work

Front Cover
MAA, Mar 15, 2007 - Mathematics - 309 pages
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Celebrating the 300th birthday of Leonhard Euler (1707-1783), one of the brightest stars in the mathematical firmament, this book stands as a testimonial to a mathematician of unsurpassed insight, industry, and ingenuity. The collected articles, aimed at a mathematically literate audience, address aspects of Euler's life and work, from the biographical to the historical to the mathematical. The oldest of these was written in 1872, and the most recent dates to 2006. Some of the papers focus on Euler and his world, others describe a specific Eulerian achievement, and still others survey a branch of mathematics to which Euler contributed significantly. Among the 34 contributors are some of the most illustrious mathematicians and mathematics historians of the past century, e.g. Florian Cajori, Carl Boyer, George Pólya, Andre Weil, and Paul Erdös. And there are a few poems and a mnemonic just for fun.
  

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Contents

Introduction to Part I
3
Leonard Euler Supreme Geometer abridged C Truesdell 1972
13
Euler abridged Andre Weil 1984
43
Frederick the Great on Mathematics and Mathematicians abridged
51
The EulerDiderot Anecdote B H Brown 1942
57
The Foremost Textbook of Modern Times C B Boyer 1951
69
Leonhard Euler 17071783 J J Burckhardt 1983
75
Eulers Output A Historical Note W W R Ball 1924
89
Euler to Cartan Victor J Katz 1982
185
Eulers Vision of a General Partial Differential Calculus for
197
On the Calculus of Variations and Its Major Influences on
209
Some Remarks and Problems in Number Theory Related to
215
Eulers Pentagonal Number Theorem George E Andrews 1983
225
Euler and Quadratic Reciprocity Harold M Edwards 1983
233
Euler and the Fundamental Theorem of Algebra William Dunham 1991
243
Guessing and Proving George P6lya 1978
257

A Response to Bells Conjecture a poem
95
Euler and Infinite Series Morris Kline 1983
101
Euler and the Zeta Function Raymond Ayoub 1974
113
Euler and the Zeta Function A G Howson 1975
133
On the History of Eulers Constant J W L Glaisher 1872
147
A Mnemonic for Eulers Constant Morgan Ward 1931
153
A Historical Profile of
167
The Truth about Konigsberg Brian Hopkins and Robin J Wilson 2004
263
GraecoLatin Squares and a Mistaken Conjecture of Euler
273
Glossary
289
List of Photos
303
About the Editor
309
Copyright

Common terms and phrases

References to this book

Euler as Physicist
Dieter Suisky
Limited preview - 2008

About the author (2007)

William Dunham, who received his BS (1969) from the University of Pittsburgh and his MS (1970) and PhD (1974) from The Ohio State University, is the Truman Koehler Professor of Mathematics at Muhlenberg College. he is the author of four books on mathematics and its history: Journey through Genius: The Great Theorems of Mathematics (Wiley, 1990), The Mathematical Universe (Wiley, 1994), Euler: The Master of Us All (MAA, 1999), and The Calculus Gallery: Masterpieces from Newton to Lebesgue (Princeton University Press, 2005). In addition, he has contributed articles to various publications, and his writing has been recognized by the MAA with its George Pólya Award (1992), Trevor Evans Award (1997), and Lester R. Ford Award (2006).