## The Genius of Euler: Reflections on His Life and WorkCelebrating 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 |

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