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Projective Geometry

Solved Problems and Theory Review

  • Elisabetta Fortuna
  • Roberto Frigerio
  • Rita Pardini

Part of the UNITEXT book series (UNITEXT, volume 104)

Also part of the La Matematica per il 3+2 book sub series (UNITEXTMAT, volume 104)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Elisabetta Fortuna, Roberto Frigerio, Rita Pardini
    Pages 1-60
  3. Elisabetta Fortuna, Roberto Frigerio, Rita Pardini
    Pages 61-105
  4. Elisabetta Fortuna, Roberto Frigerio, Rita Pardini
    Pages 107-171
  5. Elisabetta Fortuna, Roberto Frigerio, Rita Pardini
    Pages 173-261
  6. Back Matter
    Pages 263-266

About this book

Introduction

This book starts with a concise but rigorous overview of the basic notions of projective geometry, using straightforward and modern language. The goal is not only to establish the notation and terminology used, but also to offer the reader a quick survey of the subject matter. In the second part, the book presents more than 200 solved problems, for many of which several alternative solutions are provided. The level of difficulty of the exercises varies considerably: they range from computations to harder problems of a more theoretical nature, up to some actual complements of the theory. The structure of the text allows the reader to use the solutions of the exercises both to master the basic notions and techniques and to further their knowledge of the subject, thus learning some classical results not covered in the first part of the book. The book addresses the needs of undergraduate and graduate students in the theoretical and applied sciences, and will especially benefit those readers with a solid grasp of elementary Linear Algebra.

Keywords

Projective spaces Projective transformations Conics Quadrics Plane curves

Authors and affiliations

  • Elisabetta Fortuna
    • 1
  • Roberto Frigerio
    • 2
  • Rita Pardini
    • 3
  1. 1.Dipartimento di MatematicaUniversità di PisaPisaItaly
  2. 2.Dipartimento di MatematicaUniversità di PisaPisaItaly
  3. 3.Dipartimento di MatematicaUniversità di PisaPisaItaly

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-42824-6
  • Copyright Information Springer International Publishing Switzerland 2016
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-42823-9
  • Online ISBN 978-3-319-42824-6
  • Series Print ISSN 2038-5714
  • Buy this book on publisher's site
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