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  • Textbook
  • © 1984

Problems in Geometry

Authors:

  1. Marcel Berger

    1. U.E.R. de Mathematique et Informatique, Université Paris VII, Paris, Cedex 05, France

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  2. Pierre Pansu

    1. Centre National de la Recherche Scientifique, Paris, France

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  3. Jean-Pic Berry

    1. P.U.K., Grenoble, France

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  4. Xavier Saint-Raymond

    1. P.U.K., Grenoble, France

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Part of the book series: Problem Books in Mathematics (PBM)

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Table of contents (20 chapters)

  1. Front Matter

    Pages i-viii
    PDF

  2. Groups Operating on a Set: Nomenclature, Examples, Applications

    • Marcel Berger, Pierre Pansu, Jean-Pic Berry, Xavier Saint-Raymond
    Pages 1-10

  3. Affine Spaces

    • Marcel Berger, Pierre Pansu, Jean-Pic Berry, Xavier Saint-Raymond
    Pages 11-17

  4. Barycenters; the Universal Space

    • Marcel Berger, Pierre Pansu, Jean-Pic Berry, Xavier Saint-Raymond
    Pages 18-22

  5. Projective Spaces

    • Marcel Berger, Pierre Pansu, Jean-Pic Berry, Xavier Saint-Raymond
    Pages 23-29

  6. Affine-projective Relationship: Applications

    • Marcel Berger, Pierre Pansu, Jean-Pic Berry, Xavier Saint-Raymond
    Pages 30-34

  7. Projective Lines, Cross-Ratios, Homographies

    • Marcel Berger, Pierre Pansu, Jean-Pic Berry, Xavier Saint-Raymond
    Pages 35-39

  8. Complexifications

    • Marcel Berger, Pierre Pansu, Jean-Pic Berry, Xavier Saint-Raymond
    Pages 40-42

  9. More about Euclidean Vector Spaces

    • Marcel Berger, Pierre Pansu, Jean-Pic Berry, Xavier Saint-Raymond
    Pages 43-50

  10. Euclidean Affine Spaces

    • Marcel Berger, Pierre Pansu, Jean-Pic Berry, Xavier Saint-Raymond
    Pages 51-57

  11. Triangles, Spheres, and Circles

    • Marcel Berger, Pierre Pansu, Jean-Pic Berry, Xavier Saint-Raymond
    Pages 58-65

  12. Convex Sets

    • Marcel Berger, Pierre Pansu, Jean-Pic Berry, Xavier Saint-Raymond
    Pages 66-68

  13. Polytopes; Compact Convex Sets

    • Marcel Berger, Pierre Pansu, Jean-Pic Berry, Xavier Saint-Raymond
    Pages 69-73

  14. Quadratic Forms

    • Marcel Berger, Pierre Pansu, Jean-Pic Berry, Xavier Saint-Raymond
    Pages 74-78

  15. Projective Quadrics

    • Marcel Berger, Pierre Pansu, Jean-Pic Berry, Xavier Saint-Raymond
    Pages 79-84

  16. Affine Quadrics

    • Marcel Berger, Pierre Pansu, Jean-Pic Berry, Xavier Saint-Raymond
    Pages 85-92

  17. Projective Conics

    • Marcel Berger, Pierre Pansu, Jean-Pic Berry, Xavier Saint-Raymond
    Pages 93-101

  18. Euclidean Conics

    • Marcel Berger, Pierre Pansu, Jean-Pic Berry, Xavier Saint-Raymond
    Pages 102-105

  19. The Sphere for Its Own Sake

    • Marcel Berger, Pierre Pansu, Jean-Pic Berry, Xavier Saint-Raymond
    Pages 106-113

  20. Elliptic and Hyperbolic Geometry

    • Marcel Berger, Pierre Pansu, Jean-Pic Berry, Xavier Saint-Raymond
    Pages 114-119
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About this book

Written as a supplement to Marcel Berger’s popular two-volume set, Geometry I and II (Universitext), this book offers a comprehensive range of exercises, problems, and full solutions. Each chapter corresponds directly to one in the relevant volume, from which it also provides a summary of key ideas. Where the original Geometry volumes tend toward challenging problems without hints, this book offers a wide range of material that begins at an accessible level, and includes suggestions for nearly every problem. Bountiful in illustrations and complete in its coverage of topics from affine and projective spaces, to spheres and conics, Problems in Geometry is a valuable addition to studies in geometry at many levels.
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Keywords

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Authors and Affiliations

  • U.E.R. de Mathematique et Informatique, Université Paris VII, Paris, Cedex 05, France

    Marcel Berger

  • Centre National de la Recherche Scientifique, Paris, France

    Pierre Pansu

  • P.U.K., Grenoble, France

    Jean-Pic Berry, Xavier Saint-Raymond

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Bibliographic Information

  • Book Title: Problems in Geometry

  • Authors: Marcel Berger, Pierre Pansu, Jean-Pic Berry, Xavier Saint-Raymond

  • Series Title: Problem Books in Mathematics

  • DOI: https://doi.org/10.1007/978-1-4757-1836-2

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Marcel Berger 1984

  • Hardcover ISBN: 978-0-387-90971-4Published: 08 October 1984

  • Softcover ISBN: 978-1-4419-2822-1Published: 01 December 2010

  • eBook ISBN: 978-1-4757-1836-2Published: 09 March 2013

  • Series ISSN: 0941-3502

  • Series E-ISSN: 2197-8506

  • Edition Number: 1

  • Number of Pages: VIII, 268

  • Number of Illustrations: 46 b/w illustrations

  • Additional Information: Orignal French edition published by CEDIC, Paris, 1982

  • Topics: Geometry

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Buy it now

eBook USD 59.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 79.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 79.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

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