## A Century of Mathematics: Through the Eyes of the MonthlyThis is the story of American mathematics during the past century. It contains articles and excerpts from a century of the American Mathematical Monthly, giving the reader an opportunity to skim all one hundred volumes of this popular mathematics magazine without actually opening them. It samples mathematics year by year and decade by decade. The reader can glimpse the mathematical community at the turn of the century, the controversy about Einstein and relativity, the debates about formalism in logic, the immigration of mathematicians from Europe, and the frantic effort to organize as the war began. More recent articles deal with the advent of computers and the changes they brought, and with some of the triumphs of modern research. |

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### Contents

Introduction B Y Finkel and J M Colaw | 5 |

A Popular Account of Some New Fields of Thought in Mathematics | 11 |

The Tenth Perfect Number R E Powers | 19 |

The Mathematical Association of America Editors | 25 |

The Significance of Mathematics E R Hedrick | 31 |

Mathematicians and Music R C Archibald | 41 |

American Contributions to Mathematical Symbolism Florian Cajori | 47 |

The Human Significance of Mathematics Dunham Jackson | 57 |

The Nature of Mathematical Proof R L Wilder | 165 |

A Manual for Young Teachers of Mathematics H E Buchanan | 175 |

R Ford | 181 |

The Scholar in a Scientific World C C MacDittee | 187 |

Note on a Paper L S Johnston Ivan Niven | 195 |

A Symmetrical Notation for Numbers C E Shannon | 205 |

A HalfCentury of Mathematics Hermann Weyi | 213 |

A PrimeRepresenting Function E M Wright | 221 |

Recent Publications A Debate on the Theory of Relativity Carmichael MacMillan | 65 |

Recent Publications Contributions to the History of Determinants Sir Thomas Muir | 75 |

Functions of the Association J W Young | 83 |

A Simple Continuous Function with a Finite Derivative at No Point | 91 |

A Proof of the Fundamental Theorem of Algebra R P Boas Jr | 97 |

On the Modern Development of Celestial Mechanics C L Siegel | 135 |

The Addition Formulas for the Sine and Cosine E J McShane | 141 |

The Migration of Mathematicians Arnold Dresden | 147 |

Adjustments in Mathematics to the Impact of War G B Price | 155 |

If This Be Treason R P Boas Jr | 229 |

The Recurrence Theorem Fred B Wright | 241 |

Recent Developments in Mathematics Jean Dieudonne | 247 |

Female Mathematicians Where Are You? Violet H Lar ney | 285 |

The Retrial of the Lower Slobbovian Counterfeiters Michael Hendy | 293 |

Black Women in Mathematics in the United States Patricia C | 299 |

The Disk with the College Education Herbert S Wilf | 309 |

317 | |

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