## Number: The Language of ScienceNumber is an eloquent, accessible tour de force that reveals how the concept of number evolved from prehistoric times through the twentieth century. Tobias Dantzig shows that the development of math—from the invention of counting to the discovery of infinity—is a profoundly human story that progressed by “trying and erring, by groping and stumbling.” He shows how commerce, war, and religion led to advances in math, and he recounts the stories of individuals whose breakthroughs expanded the concept of number and created the mathematics that we know today. |

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#### Number: the language of science

User Review - Not Available - Book VerdictFirst published in 1930, Dantzig's title presents the human side of math, theorizing that the evolution of numbers is directly linked to advances in human culture, economics, etc. Read full review

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I really liked most of this book. It really revolutionized my whole feel of the number system. I am really proud that I read this book. However, the frequent latin phrases had me annoyed, or at least wishing I was born at the turn of LAST century, when I assume that authors used such prose more often. A great book altogether though, just written in a style that seemed a little outdated.

### Contents

Fingerprints | 1 |

The Empty Column | 19 |

Numberlore | 37 |

The Last Number | 59 |

Symbols | 79 |

The Unutterable | 103 |

This Flowing World | 125 |

The Art of Becoming | 145 |

The Domain of Number | 187 |

The Anatomy of the Infinite | 215 |

The Two Realities | 239 |

Appendix A On the Recording of Numbers | 261 |

Appendix B Topics in Integers | 277 |

On Roots and Radicals | 303 |

On Principles and Arguments | 327 |

Filling the Gaps | 171 |

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### Common terms and phrases

aggregate algorithm analysis analytic geometry Archimedes argument arithmetic calculating called Cantor cardinal number century Chapter coefficients complex numbers continued fraction continuum convergent correspondence counting cubic cubic equation Dantzig Dedekind Descartes digits Diophantus divisible divisors equal equation Euclid Euler existence expressed fact Fermat Fermat prime finite formula Gauss Gematria geometrical sequence Georg Cantor Greek idea induction infinite number infinite processes infinity integers intuition irrational Leibnitz limit logic magnitudes mathe mathematical induction mathematician mathematics matter means method metic modern natural numbers notation number concept number sense number theory number words objects operations polynomial positive prime numbers principle problem proof properties proposition proved Pythagoreans quadratic quadratic equation rational domain rational numbers real numbers reality represented roots sequence solution square symbols theorem theory of numbers tion transcendental true twin prime conjecture twin primes whole numbers Wilson's theorem Zeno zero