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## Details

Document Type: | Book |
---|---|

All Authors / Contributors: |
John McCleary |

ISBN: | 0521133114 9780521133111 |

OCLC Number: | 915912917 |

Description: | 357 s. : illustrations ; 26 cm |

Contents: | Part A: Prelude and Themes: Synthetic Methods and Results: 1. Spherical geometry; 2. Euclid; 3. The theory of parallels; 4. Non-Euclidean geometry; Part B. Development: Differential Geometry: 5. Curves in the plane; 6. Curves in space; 7. Surfaces; 8. Curvature for surfaces; 9. Metric equivalence of surfaces; 10. Geodesics; 11. The Gauss-Bonnet theorem; 12. Constant-curvature surfaces; Part C. Recapitulation and Coda: 13. Abstract surfaces; 14. Modeling the non-Euclidean plane; 15. Epilogue: where from here? |

### Abstract:

This text, for a first course in differential or modern geometry, introduces methods within a historical context that is familiar to students from high school. The thoroughly revised second edition has been reorganized for greater clarity and includes numerous new exercises and topics such as Euclid's geometry of space.
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## Reviews

*Editorial reviews*

Publisher Synopsis

Review of the first edition: '... an unusual and interesting account of two subjects and their close historical interrelation.' The Mathematical Gazette '... the author has succeeded in making differential geometry an approachable subject for advanced undergraduates.' Andrej Bucki, Mathematical Reviews Read more...

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