## Great Currents of Mathematical Thought: Mathematics: Concepts and DevelopmentYears in the making, this feast of mathematical ideas comprises works by 50 eminent French scholars. The first book of the two-volume set embraces "Mathematics: Concepts and Development," with several essays each under the categories of "Structures," Disciplines," "Space," "Function," "Group," "Probability," and "The Mathematical Epic." The second volume, "Mathematics in the Arts and Sciences," comprises essays on "Mathematics and the Human Intellect," "Mathematics and Technology," and "Mathematics and Civilization." 1962 edition. |

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### Contents

BOOK ONE STRUCTURES page | 9 |

The Architecture of Mathematics by Nicolas Bourbaki | 23 |

Analogy in Mathematics by Robert Deltheil | 37 |

Symmetry and Dissymmetry in Mathematics and Physics | 44 |

Intuitive Approaches Toward some Vital Organs of Mathematics | 57 |

BOOK TWO DISCIPLINES page | 67 |

Fermats Last Theorem | 81 |

by Henri Eyraud | 109 |

GROUP | 201 |

E PROBABILITY | 209 |

Chance and Mathematics by Pius Servien | 221 |

BOOK ONE THE PAST page | 229 |

Views on Newtons Mathematical Thought by Pierre Brunet | 249 |

Sophus Lie by filie Cartan | 262 |

Women Mathematicians by Mme MarieLouise Dubreil | 268 |

BOOK TWO THE PRESENT page | 281 |

From ThreeDimensional Space to the Abstract Spaces | 115 |

A Journey into the Fourth Dimension by Andre SainteLagiie | 125 |

On the Curvature of Space and the Possibility of Forming | 143 |

FUNCTION | 153 |

The Role of Families of Functions in Mathematical Analysis | 174 |

From Cauchy to Riemann or the Birth of the Theory of Real | 181 |

The Innateness of the Transfinite by Arnoud Denjoy | 191 |

Renewer of Modern Analysis by Louis Perrin | 298 |

David Hilbert 18621943 by Jean Dieudonne | 304 |

The International Congresses of Mathematicians by Rolin | 312 |

BOOK THREE THE FUTURE page | 319 |

Modern Methods and the Future of Applied Mathematics | 337 |

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