## The History of Mathematics: A Brief Course
"An amazing assemblage of worldwide contributions in mathematics and, in addition to use as a course book, a valuable resource . . . essential." This Aimed primarily at undergraduate students studying the history of mathematics for science, engineering, and secondary education, the book focuses on three main ideas: the facts of who, what, when, and where major advances in mathematics took place; the type of mathematics involved at the time; and the integration of this information into a coherent picture of the development of mathematics. In addition, the book features carefully designed problems that guide readers to a fuller understanding of the relevant mathematics and its social and historical context. Chapter-end exercises, numerous photographs, and a listing of related websites are also included for readers who wish to pursue a specialized topic in more depth. Additional features of - Material arranged in a chronological and cultural context
- Specific parts of the history of mathematics presented as individual lessons
- New and revised exercises ranging between technical, factual, and integrative
- Individual PowerPoint presentations for each chapter and a bank of homework and test questions (in addition to the exercises in the book)
- An emphasis on geography, culture, and mathematics
In addition to being an ideal coursebook for undergraduate students, the book also serves as a fascinating reference for mathematically inclined individuals who are interested in learning about the history of mathematics. |

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### Contents

Computations in Ancient Mesopotamia | |

Geometry inMesopotamia 5 1 The Pythagorean Theorem 5 2 PlaneFigures | |

Egyptian Numerals and Arithmetic | |

Algebra and Geometry in Ancient Egypt | |

Greek Mathematics From 500 | |

LaterChinese Algebra and Geometry 23 1 Algebra 23 2 Later Chinese | |

Traditional Japanese Mathematics | |

Contents of Part V | |

Islamic Geometry | |

European Mathematics 5001900 | |

Medieval and Early Modern Europe | |

European Mathematics 12001500 | |

RenaissanceArtandGeometry | |

Greek Number Theory | |

FifthCentury GreekGeometry 10 1 Pythagorean Geometry 10 2 Challenge No 1Unsolved Problems 10 3 Challenge No 2The Paradoxes ofZenoof Elea | |

Athenian Mathematics I The Classical | |

AthenianMathematics II Plato and Aristotle | |

Euclid of Alexandria | |

Archimedes of Syracuse | |

Apollonius ofPerga 15 1 History ofthe Conics | |

Hellenistic and Roman Geometry | |

Ptolemys Geography | |

Part | |

Pappus andthe LaterCommentators 18 1 The Collection of Pappus | |

AryabhataI | |

From the Vedas to Aryabhata I | |

Brahmagupta the Kuttaka and BhaskaraII | |

Chinese Mathematics | |

Chapter | |

Special Topics | |

Probability | |

Algebra from 1600 to 1850 | |

Projective and Algebraic Geometry | |

Differential Geometry 39 1Plane Curves | |

NonEuclidean Geometry | |

Complex Analysis | |

Foundations of Real Analysis | |

Set Theory 44 1 Technical Background | |

Logic | |

Name Index | |