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## Details

Genre/Form: | Electronic books |
---|---|

Additional Physical Format: | Print version: Cooke, Roger L. History of Mathematics : A Brief Course. New York : Wiley, ©2012 |

Material Type: | Document, Internet resource |

Document Type: | Internet Resource, Computer File |

All Authors / Contributors: |
Roger L Cooke |

ISBN: | 9781118460290 1118460294 9781118464977 1118464974 |

OCLC Number: | 865012817 |

Notes: | Title from resource description page (Recorded Books, viewed November 21, 2013). |

Description: | 1 online resource |

Contents: | Cover; Title Page; Copyright; Preface; Changes from the Second Edition; Elementary Texts on the History of Mathematics; Part I: What is Mathematics?; Contents of Part I; Chapter 1: Mathematics and its History; 1.1 Two Ways to Look at the History of Mathematics; 1.2 The Origin of Mathematics; 1.3 The Philosophy of Mathematics; 1.4 Our Approach to the History of Mathematics; Questions for Reflection; Chapter 2: Proto-mathematics; 2.1 Number; 2.2 Shape; 2.3 Symbols; 2.4 Mathematical Reasoning; Problems and Questions; Part II: The Middle East, 2000-1500 BCE; Contents of Part II. Chapter 3: Overview of Mesopotamian Mathematics3.1 A Sketch of Two Millennia of Mesopotamian History; 3.2 Mathematical Cuneiform Tablets; 3.3 Systems of Measuring and Counting; 3.4 The Mesopotamian Numbering System; Problems and Questions; Chapter 4: Computations in Ancient Mesopotamia; 4.1 Arithmetic; 4.2 Algebra; Problems and Questions; Chapter 5: Geometry in Mesopotamia; 5.1 The Pythagorean Theorem; 5.2 Plane Figures; 5.3 Volumes; 5.4 Plimpton 322; Problems and Questions; Chapter 6: Egyptian Numerals and Arithmetic; 6.1 Sources; 6.2 The Rhind Papyrus; 6.3 Egyptian Arithmetic. 6.4 ComputationProblems and Questions; Chapter 7: Algebra and Geometry in Ancient Egypt; 7.1 Algebra Problems in the Rhind Papyrus; 7.2 Geometry; 7.3 Areas; Problems and Questions; Part III: Greek Mathematics From 500 BCE to 500 CE; Contents of Part III; Chapter 8: An Overview of Ancient Greek Mathematics; 8.1 Sources; 8.2 General Features of Greek Mathematics; 8.3 Works and Authors; Questions; Chapter 9: Greek Number Theory; 9.1 The Euclidean Algorithm; 9.2 The Arithmetica of Nicomachus; 9.3 Euclid's Number Theory; 9.4 The Arithmetica of Diophantus; Problems and Questions. Chapter 10: Fifth-Century Greek Geometry10.1 "Pythagorean" Geometry; 10.2 Challenge No. 1: Unsolved Problems; 10.3 Challenge No. 2: The Paradoxes of Zeno of Elea; 10.4 Challenge No. 3: Irrational Numbers and Incommensurable Lines; Problems and Questions; Chapter 11: Athenian Mathematics I: The Classical Problems; 11.1 Squaring the Circle; 11.2 Doubling the Cube; 11.3 Trisecting the Angle; Problems and Questions; Chapter 12: Athenian Mathematics II: Plato and Aristotle; 12.1 The Influence of Plato; 12.2 Eudoxan Geometry; 12.3 Aristotle; Problems and Questions; Chapter 13: Euclid of Alexandria. 13.1 The Elements13.2 The Data; Problems and Questions; Chapter 14: Archimedes of Syracuse; 14.1 The Works of Archimedes; 14.2 The Surface of a Sphere; 14.3 The Archimedes Palimpsest; 14.4 Quadrature of the Parabola; Problems and Questions; Chapter 15: Apollonius of Perga; 15.1 History of the Conics; 15.2 Contents of the Conics; 15.3 Foci and the Three-and Four-line Locus; Problems and Questions; Chapter 16: Hellenistic and Roman Geometry; 16.1 Zenodorus; 16.2 The Parallel Postulate; 16.3 Heron; 16.4 Roman Civil Engineering; Problems and Questions. |

Responsibility: | Roger L. Cooke. |

### Abstract:

Praise for the Second Edition "An amazing assemblage of worldwide contributions in mathematics and, in addition to use as a course book, a valuable resource. . . essential.
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