## The Princeton Companion to MathematicsTimothy Gowers, June Barrow-Green, Imre Leader Princeton University Press, 18. júl. 2010 - 1056 síđur 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
Contributors incude: |

### Efni

1 | |

The Origins of Modern | 77 |

Mathematical Analysis | 117 |

Mathematical Concepts | 157 |

23 | 193 |

25 | 199 |

28 | 208 |

32 | 214 |

the Mordell Conjecture | 720 |

Mathematicians | 733 |

35 | 762 |

86 | 812 |

André Weil 19061998 | 819 |

The Influence of Mathematics | 827 |

2 | 837 |

3 | 848 |

38 | 221 |

45 | 227 |

49 | 234 |

51 | 241 |

Duality | 252 |

Branches of Mathematics | 315 |

Hamiltonians | 389 |

Irrational and Transcendental Numbers | 399 |

Probabilistic Analogues | 670 |

Theorems and Problems | 681 |

4 | 862 |

5 | 871 |

6 | 878 |

Final Perspectives | 955 |

1015 | |

1018 | |

1025 | |

1031 | |

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