## The Rainbow of Mathematics: A History of the Mathematical SciencesHe charts the growth of mathematics through its refinement by ancient Greeks and then medieval Arabs, to its systematic development by Europeans from the Middle Ages to the early twentieth century. This book describes the evolution of arithmetic and geometry, trigonometry and algebra; the interplay between mathematics, physics, and mathematical astronomy; and "new" branches such as probability and statistics. Authoritative and comprehensive, The Rainbow of Mathematics is a unique account of the development of the science that is at the heart of so many other sciences. Originally published under the title The Norton History of the Mathematical Sciences. |

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#### LibraryThing Review

User Review - mobill76 - LibraryThingThis is just awesome! This is exactly what's missing from textbooks. Oh yeah, you get little blurbs about Descartes and Pascal but this is the whole story. This is what makes mathematics interesting ... Read full review

#### LibraryThing Review

User Review - fpagan - LibraryThingLengthwise, 800 pages. Subjectwise, covers (the history of) most of the main branches of math. Difficultywise, not hard reading but technical clarity could be better. Placewise, more than 80% Europe. Timewise, more than 50% 1800s, with nothing after "the Great War." Read full review

### Contents

Previewing the rainbow 1 | 1 |

Invisible origins and ancient traditions | 18 |

from the early Middle | 104 |

The calculus and its consequences | 257 |

Analysis and mechanics at centre stage | 303 |

Institutions and the profession after | 347 |

geometries 18001860 | 364 |

The expanding world of algebras | 413 |

Mechanics and mathematical physics | 439 |

International mathematics but the rise | 479 |

The new century to the Great | 654 |

Reviewing the rainbow | 719 |

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### Common terms and phrases

addition algebra analysis angles appeared applied approach arithmetic became body branches calculus called century circle complex concern continued contributions corresponding curves defined definition determined developed differential equations early edition effect Elements engineering equations especially Euler example expressed extended figures followed force French functions further gave geometry German given Greek ideas important influence integral interest involved Italy kind known largely later limits linear logic major mathe mathematicians mathematics matics means measure mechanics methods motion moving Newton normal noted original period physics plane positive potential presented principle probability problem produced proof properties published ratios respectively Riemann roots showed side similar solutions space square surface tables theorem theory tion took translation usually values variables various volume