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Geometry

  • Textbook
  • © 2001

Overview

Authors:
  1. Roger Fenn

    1. School of Mathematics, University of Sussex, Falmer, UK

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  • Adopts a unique approach - the more difficult sections are set in smaller type so that the reader can return to them after their second or third reading
  • Introduces applications to astronomy

Part of the book series: Springer Undergraduate Mathematics Series (SUMS)

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Table of contents (9 chapters)

  1. Front Matter

    Pages i-xii
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  2. The Geometry of Numbers

    • Roger Fenn
    Pages 1-28

  3. Coordinate Geometry

    • Roger Fenn
    Pages 29-62

  4. The Geometry of the Euclidean Plane

    • Roger Fenn
    Pages 63-98

  5. The Geometry of Complex Numbers

    • Roger Fenn
    Pages 99-136

  6. Solid Geometry

    • Roger Fenn
    Pages 137-181

  7. Projective Geometry

    • Roger Fenn
    Pages 183-210

  8. Conics and Quadric Surfaces

    • Roger Fenn
    Pages 211-251

  9. Spherical Geometry

    • Roger Fenn
    Pages 253-285

  10. Quaternions and Octonions

    • Roger Fenn
    Pages 287-303

  11. Back Matter

    Pages 305-313
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Keywords

About this book

Geometry is probably the most accessible branch of mathematics, and can provide an easy route to understanding some of the more complex ideas that mathematics can present. This book is intended to introduce readers to the major geometrical topics taught at undergraduate level, in a manner that is both accessible and rigorous. The author uses world measurement as a synonym for geometry - hence the importance of numbers, coordinates and their manipulation - and has included over 300 exercises, with answers to most of them. The text includes such topics as:
- Coordinates
- Euclidean plane geometry
- Complex numbers
- Solid geometry
- Conics and quadratic surfaces
- Spherical geometry
- Quaternions
It is suitable for all undergraduate geometry courses, but it is also a useful resource for advanced sixth formers, research mathematicians, and those taking courses in physics, introductory astronomy and other science subjects.

Authors and Affiliations

  • School of Mathematics, University of Sussex, Falmer, UK

    Roger Fenn

Bibliographic Information

  • Book Title: Geometry

  • Authors: Roger Fenn

  • Series Title: Springer Undergraduate Mathematics Series

  • DOI: https://doi.org/10.1007/978-1-4471-0325-7

  • Publisher: Springer London

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag London 2001

  • Softcover ISBN: 978-1-85233-058-3Published: 13 November 2000

  • eBook ISBN: 978-1-4471-0325-7Published: 06 December 2012

  • Series ISSN: 1615-2085

  • Series E-ISSN: 2197-4144

  • Edition Number: 1

  • Number of Pages: XII, 313

  • Number of Illustrations: 20 b/w illustrations

  • Topics: Geometry

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