## Mathematical Expeditions: Chronicles by the ExplorersThis book contains the stories of five mathematical journeys into new realms, told through the writings of the explorers themselves. Some were guided by mere curiosity and the thrill of adventure, while others had more practical motives. In each case the outcome was a vast expansion of the known mathematical world and the realization that still greater vistas remained to be explored. The authors tell these stories by guiding the reader through the very words of the mathematicians at the heart of these events, and thereby provide insight into the art of approaching mathematical problems. The book can be used in a variety of ways. The five chapters are completely independent, each with varying levels of mathematical sophistication. The book will be enticing to students, to instructors, and to the intellectually curious reader. By working through some of the original sources and supplemental exercises, which discuss and solve - or attempt to solve - a great problem, this book helps the reader discover the roots of modern problems, ideas, and concepts, even whole subjects. Students will also see the obstacles that earlier thinkers had to clear in order to make their respective contributions to five central themes in the evolution of mathematics. |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

The Parallel Postulate | 1 |

Taming the Infinite | 54 |

Calculating Areas and Volumes | 95 |

Fermats Last Theorem | 156 |

The Search for an Elusive Formula | 204 |

259 | |

Credits | 269 |

### Other editions - View all

Mathematical Expeditions: Chronicles by the Explorers Reinhard Laubenbacher,David Pengelley Limited preview - 2013 |

Mathematical Expeditions: Chronicles by the Explorers Reinhard Laubenbacher,David Pengelley No preview available - 1998 |

### Common terms and phrases

aggregate algebraic analysis approach Archimedes assume Axiom calculus called Cantor cardinal number Cauchy century chapter common complete consider construct contains continuous correspondence course cube curve definition derivative developed discovered edition elements equal equation equivalent Euclid's Euler example Exercise exist exponent expressed fact factors Fermat field FIGURE finally follows formula functions Galois geometry give given idea important infinite infinitesimal integer Introduction known later Leibniz length less limit mathematicians mathematics means method namely natural needed obtain parabola parallel postulate particular PHOTO plane positive possible prime principle problem proof Proposition prove published quantity question rational real numbers reduced remains result right angles roots segment sides similar solution solve square straight line Theorem theory triangle triples University values whole