## The Birth of Mathematics: Ancient Times to 1300From 700 BCE to CE 1300, thousands of scholars from many different civilizations introduced mathematical ideas that established the foundations of arithmetic, number theory, algebra, geometry, and trigonometry, as well as the related sciences of astronomy and physics. Although we know very little about specific individuals who made important mathematical discoveries in Babylonia, Egypt, and China, historians in Arabia, ancient Greece, India, and medieval Italy preserved a more complete record, including the identities of some of the innovators. The Birth of Mathematics profiles 10 individuals from these four cultures during this time period as representatives of the numerous scholars who contributed to the field of mathematics. Each chapter contains information on the person's research, discoveries, and contributions to the field and concludes with a list of print and Internet references specific to that individual. |

### What people are saying - Write a review

#### LibraryThing Review

User Review - JosephMacAdam - LibraryThingThe purpose of this book is to provide a history of mathematics up until 1300 and it achieves this goal. Although the book can be dry at points, does not contain many pictures and is printed in black ... Read full review

### Contents

1 Thales of Miletus | 1 |

2 Pythagoras of Samos | 14 |

3 Euclid of Alexandria | 29 |

4 Archimedes of Syracuse | 43 |

5 Hypatia of Alexandria | 57 |

6 Aryabhata I | 67 |

7 Brahmagupta | 79 |

8 Abu Jafar Muhammad ibn Musa alKhwarizmı | 92 |

9 Omar Khayyam | 104 |

10 Leonardo Fibonacci | 117 |

Glossary | 129 |

139 | |

Associations | 144 |

145 | |

### Common terms and phrases

Accessed March 25 al-Khw¯arizm¯ı algebraic angles Archimedes arithmetic Aryabhata astronomical Available online Br¯ahmasphutasiddh¯anta Brahmagupta Brief biography calculate century chapters circle computations congruent cubic equations curve cyclic quadrilateral determine developed E. F. Robertson Earth edited by Robin estimate Euclid of Alexandria explained Fibonacci’s Liber Abaci formula fraction geometry greatest common divisor Hindu History of Mathematics Hypatia Hypatia of Alexandria ideas India irrational numbers Khayyám known large numbers length Leonardo Pisano Fibonacci Liber Abaci MacTutor History math mathematicians Mathematicians from Ancient Mathematics Archive method of exhaustion Moon negative numbers non-Euclidean geometries Notable Mathematicians number theory Omar Khayyám Online biography orbit parallel postulate philosopher plane polygon positive integer presented problems Pythagoras Pythagoras’s Pythagorean theorem ratios regular solid Reinherz right triangle Saint Andrews scholars sides sine solution solve sphere square stars techniques Thales theorems tions titled translated treatise University of Saint whole numbers wrote zero