## The Princeton Companion to MathematicsTimothy Gowers, June Barrow-Green, Imre Leader This is a one-of-a-kind reference for anyone with a serious interest in mathematics. Edited by Timothy Gowers, a recipient of the Fields Medal, it presents nearly two hundred entries, written especially for this book by some of the world's leading mathematicians, that introduce basic mathematical tools and vocabulary; trace the development of modern mathematics; explain essential terms and concepts; examine core ideas in major areas of mathematics; describe the achievements of scores of famous mathematicians; explore the impact of mathematics on other disciplines such as biology, finance, and music--and much, much more. - Features nearly 200 entries, organized thematically and written by an international team of distinguished contributors
- Presents major ideas and branches of pure mathematics in a clear, accessible style
- Defines and explains important mathematical concepts, methods, theorems, and open problems
- Introduces the language of mathematics and the goals of mathematical research
- Covers number theory, algebra, analysis, geometry, logic, probability, and more
- Traces the history and development of modern mathematics
- Profiles more than ninety-five mathematicians who influenced those working today
- Explores the influence of mathematics on other disciplines
- Includes bibliographies, cross-references, and a comprehensive index
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#### LibraryThing Review

User Review - JohnAGoldsmith - LibraryThingA spectacular overview of mathematics for the non-mathematician who loves mathematics. A fabulous gift for a high school or college student who is thinking seriously about becoming a mathematician. Read full review

#### The Princeton companion to mathematics

User Review - Not Available - Book VerdictEdited by Gowers, a recipient of the Fields Medal (the most esteemed prize in mathematics), this volume contains almost 200 entries, commissioned especially for this book from the world's leading ... Read full review

### Contents

1 | |

50 | |

The Origins of Modern | 77 |

90 | 116 |

Mathematical Analysis | 117 |

92 | 141 |

Mathematical Concepts | 157 |

23 | 193 |

94 | 358 |

Hamiltonians | 389 |

Irrational and Transcendental Numbers | 399 |

Probabilistic Analogues | 670 |

Theorems and Problems | 681 |

the Mordell Conjecture | 720 |

Mathematicians | 733 |

35 | 762 |

### Other editions - View all

The Princeton Companion to Mathematics Timothy Gowers,June Barrow-Green,Imre Leader Limited preview - 2008 |

The Princeton Companion to Mathematics Timothy Gowers,June Barrow-Green,Imre Leader Limited preview - 2010 |