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Projective Geometry

Solved Problems and Theory Review

  • Textbook
  • © 2016

Overview

Authors:
  1. Elisabetta Fortuna

    1. Dipartimento di Matematica, Università di Pisa, Pisa, Italy

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  2. Roberto Frigerio

    1. Dipartimento di Matematica, Università di Pisa, Pisa, Italy

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  3. Rita Pardini

    1. Dipartimento di Matematica, Università di Pisa, Pisa, Italy

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  • Offers more than 200 problems with detailed solutions, helping the reader to "learn by doing"
  • The concise summary of the theory provides an overall view of the subject, highlighting the most important points
  • Uses simple and modern language for better readability
  • Includes supplementary material: sn.pub/extras

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

Part of the book sub series: La Matematica per il 3+2 (UNITEXTMAT)

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Table of contents (4 chapters)

  1. Front Matter

    Pages i-xii
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  2. Theory Review

    • Elisabetta Fortuna, Roberto Frigerio, Rita Pardini
    Pages 1-60

  3. Exercises on Projective Spaces

    • Elisabetta Fortuna, Roberto Frigerio, Rita Pardini
    Pages 61-105

  4. Exercises on Curves and Hypersurfaces

    • Elisabetta Fortuna, Roberto Frigerio, Rita Pardini
    Pages 107-171

  5. Exercises on Conics and Quadrics

    • Elisabetta Fortuna, Roberto Frigerio, Rita Pardini
    Pages 173-261

  6. Back Matter

    Pages 263-266
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Keywords

About this book

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.

Reviews

“This is a modern textbook on classic projective geometry over (mostly) real and complex vectorspaces. … The book will also serve well as a source and reference for an undergraduate lecture plus exercise course on projective geometry.” (Hans-Peter Schröcker, zbMATH 1361.51004, 2017)

Authors and Affiliations

  • Dipartimento di Matematica, Università di Pisa, Pisa, Italy

    Elisabetta Fortuna, Roberto Frigerio, Rita Pardini

About the authors

Elisabetta Fortuna was born in Pisa in 1955. In 1977 she received her Diploma di Licenza in Mathematics from Scuola Normale Superiore in Pisa. Since 2001 she is Associate Professor at the University of Pisa. Her areas of research are real and complex analytic geometry, real algebraic geometry, computational algebraic geometry.


Roberto Frigerio was born in Como in 1977. In 2005 he received his Ph.D. in Mathematics at Scuola Normale Superiore in Pisa. Since 2014 he is Associate Professor at the University of Pisa. His primary scientific interests are focused on low-dimensional topology, hyperbolic geometry and geometric group theory.


Rita Pardini was born in Lucca in 1960. She received her Ph.D. in Mathematics from Scuola Normale Superiore in Pisa in 1990; she is Full Professor at the University of Pisa since 2004. Her area of research is classical algebraic geometry, in particular algebraic surfaces and their moduli, irregular varieties and coverings.


Bibliographic Information

  • Book Title: Projective Geometry

  • Book Subtitle: Solved Problems and Theory Review

  • Authors: Elisabetta Fortuna, Roberto Frigerio, Rita Pardini

  • Series Title: UNITEXT

  • DOI: https://doi.org/10.1007/978-3-319-42824-6

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer International Publishing Switzerland 2016

  • Softcover ISBN: 978-3-319-42823-9Published: 28 December 2016

  • eBook ISBN: 978-3-319-42824-6Published: 17 December 2016

  • Series ISSN: 2038-5714

  • Series E-ISSN: 2532-3318

  • Edition Number: 1

  • Number of Pages: XII, 266

  • Number of Illustrations: 31 b/w illustrations

  • Topics: Projective Geometry, Algebraic Geometry

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