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Book cover
  • Book
  • © 1991

Unsolved Problems in Geometry

Unsolved Problems in Intuitive Mathematics

Authors:

  1. Hallard T. Croft

    1. Peterhouse, Cambridge, England

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  2. Kenneth J. Falconer

    1. School of Mathematics, Bristol University, Bristol, England

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    You can also search for this author in PubMed   Google Scholar

  3. Richard K. Guy

    1. Department of Mathematics and Statistics, The University of Calgary, Calgary, Canada

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    You can also search for this author in PubMed   Google Scholar

Part of the book series: Problem Books in Mathematics (PBM, volume 2)

Part of the book sub series: Unsolved Problems in Intuitive Mathematics (1605)

Sections

eBook USD 89.00
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  • ISBN: 978-1-4612-0963-8
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Table of contents (8 chapters)

  1. Front Matter

    Pages i-xv
    PDF

  2. Notation and Definitions

    • Hallard T. Croft, Kenneth J. Falconer, Richard K. Guy
    Pages 1-5

  3. Convexity

    • Hallard T. Croft, Kenneth J. Falconer, Richard K. Guy
    Pages 6-47

  4. Polygons, Polyhedra, and Polytopes

    • Hallard T. Croft, Kenneth J. Falconer, Richard K. Guy
    Pages 48-78

  5. Tiling and Dissection

    • Hallard T. Croft, Kenneth J. Falconer, Richard K. Guy
    Pages 79-106

  6. Packing and Covering

    • Hallard T. Croft, Kenneth J. Falconer, Richard K. Guy
    Pages 107-130

  7. Combinatorial Geometry

    • Hallard T. Croft, Kenneth J. Falconer, Richard K. Guy
    Pages 131-148

  8. Finite Sets of Points

    • Hallard T. Croft, Kenneth J. Falconer, Richard K. Guy
    Pages 149-167

  9. General Geometric Problems

    • Hallard T. Croft, Kenneth J. Falconer, Richard K. Guy
    Pages 168-184

  10. Back Matter

    Pages 185-199
    PDF
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About this book

Mathematicians and non-mathematicians alike have long been fascinated by geometrical problems, particularly those that are intuitive in the sense of being easy to state, perhaps with the aid of a simple diagram. Each section in the book describes a problem or a group of related problems. Usually the problems are capable of generalization of variation in many directions. The book can be appreciated at many levels and is intended for everyone from amateurs to research mathematicians.
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Keywords

  • Area
  • Volume
  • discrete geometry
  • polygon
  • polytope
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Authors and Affiliations

  • Peterhouse, Cambridge, England

    Hallard T. Croft

  • School of Mathematics, Bristol University, Bristol, England

    Kenneth J. Falconer

  • Department of Mathematics and Statistics, The University of Calgary, Calgary, Canada

    Richard K. Guy

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Bibliographic Information

  • Book Title: Unsolved Problems in Geometry

  • Book Subtitle: Unsolved Problems in Intuitive Mathematics

  • Authors: Hallard T. Croft, Kenneth J. Falconer, Richard K. Guy

  • Series Title: Problem Books in Mathematics

  • DOI: https://doi.org/10.1007/978-1-4612-0963-8

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1991

  • Hardcover ISBN: 978-0-387-97506-1Published: 28 May 1991

  • Softcover ISBN: 978-1-4612-6962-5Published: 04 June 2013

  • eBook ISBN: 978-1-4612-0963-8Published: 06 December 2012

  • Series ISSN: 0941-3502

  • Series E-ISSN: 2197-8506

  • Edition Number: 1

  • Number of Pages: XV, 199

  • Topics: Geometry

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Access via your institution
eBook USD 89.00
Price excludes VAT (USA)
  • ISBN: 978-1-4612-0963-8
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book USD 119.99
Price excludes VAT (USA)
Hardcover Book USD 149.99
Price excludes VAT (USA)
Learn about institutional subscriptions