## Euler: The Master of Us All, Volume 22Leonhard Euler was one of the most prolific mathematicians that have ever lived. This book examines the huge scope of mathematical areas explored and developed by Euler, which includes number theory, combinatorics, geometry, complex variables and many more. The information known to Euler over 300 years ago is discussed, and many of his advances are reconstructed. Readers will be left in no doubt about the brilliance and pervasive influence of Euler's work. |

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#### LibraryThing Review

User Review - halesso - LibraryThingI completely enjoyed this book. Beautiful mathematics exquisitely presented. Provocative discussion of deeper meaning of theorem and the creative development of conceptual ideas. Read full review

#### LibraryThing Review

User Review - gregfromgilbert - LibraryThingA wonderful book that samples Euler’s work in several areas of mathematics. This is not a traditional biography focusing on Euler’s life, but rather a tour through a small portion of Euler’s amazing ... Read full review

### Contents

Euler and Number Theory | 1 |

Euler and Logarithms | 17 |

Euler and Infinite Series | 39 |

Euler and Analytic Number Theory | 61 |

Euler and Complex Variables | 81 |

Euler and Algebra | 103 |

Euler and Geometry | 125 |

Euler and Combinatorics | 149 |

Conclusion | 171 |

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### Common terms and phrases

algebra analysis analytic answer appear apply argument become begin Bernoulli Book calculus called century chapter circle coefficients complex numbers conclude consider contain course cubic derivation described determine divisors equal equation established Euclid Euler example existence expansion expression factors Figure Finally finite follows formula four function fundamental geometry give harmonic series History imaginary important infinite infinite series instance integral introduced known later less letter logarithms mathematicians mathematics matter multiplication natural noted number theory observed odd perfect number Opera Omnia original polynomial positive pp.)-papers prime problem proof proved published quadratic quartic question reader reasoning remain result roots rule seems sides simple solution solve square theorem triangle volumes whole numbers wrote York

### References to this book

Real Infinite Series Daniel D. Bonar,Michael J. Khoury, Jr.,Michael Khoury No preview available - 2006 |

Essentials of Mathematics: Introduction to Theory, Proof, and the ... Margie Hale No preview available - 2003 |