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Look Inside Mathematical Illustrations

Mathematical Illustrations
A Manual of Geometry and PostScript

Out of Print

  • Date Published: March 2005
  • availability: Unavailable - out of print September 2014
  • format: Paperback
  • isbn: 9780521547888

Out of Print

Unavailable - out of print September 2014
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About the Authors
  • This practical introduction to the techniques needed to produce mathematical illustrations of high quality is suitable for anyone with a modest acquaintance with coordinate geometry. The author combines a completely self-contained step-by-step introduction to the graphics programming language PostScript with advice on what goes into good mathematical illustrations, chapters showing how good graphics can be used to explain mathematics, and a treatment of all the mathematics needed to make such illustrations. The many small simple graphics projects can also be used in courses in geometry, graphics, or general mathematics. Code for many of the illustrations is included, and can be downloaded from the book's web site: Mathematicians, scientists, engineers, and even graphic designers seeking help in creating technical illustrations need look no further.

    • Includes practical PostScript code, available from
    • Has a mathematical orientation, can be used as a supplementary text for geometry courses
    • High level graphics advice of mathematical exposition
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    Reviews & endorsements

    '… I recommend it to all who are professionally or even casually interested in mathematical illustration … Casselman's book teaches you to appreciate the marvels of PostScript and of the geometry ideas relevant to this curious computer language.' George K. Francis, American Scientist

    '… an excellent introduction to PostScript … The book is written in a style which is easy to understand and invites the reader to experiment as the journey progresses … I feel that the book would be useful to mathematicians and scientists wanting to create high quality illustrations.' Mathematics Today

    '… instructive and attractive reading.' Zentralblatt MATH

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    Product details

    • Date Published: March 2005
    • format: Paperback
    • isbn: 9780521547888
    • length: 336 pages
    • dimensions: 234 x 179 x 24 mm
    • weight: 0.66kg
    • contains: 364 b/w illus. 50 exercises
    • availability: Unavailable - out of print September 2014
  • Table of Contents

    1. Getting started in PostScript
    2. Elementary coordinate geometry
    3. Variables and procedures
    4. Coordinates and conditionals
    5. Drawing polygons: loops and arrays
    6. Curves
    7. Drawing curves automatically: procedures as arguments
    8. Non-linear 2D transformations: deconstructing paths
    9. Recursion in PostScript
    10. Perspective and homogeneous coordinates
    11. Introduction to drawing in three dimensions
    12. Transformations in 3D
    13. PostScript in 3D
    14. Drawing surfaces in 3D
    Appendix 1. Summary of PostScript commands
    Appendix 2. Setting up your PostScript environment
    Appendix 3. Structured PostScript documents
    Appendix 4. Simple text display
    Appendix 5. Zooming
    Appendix 6. Evaluating polynomials: getting along without variables
    Appendix 7. Importing PostScript files

  • Author

    Bill Casselman, University of British Columbia, Vancouver
    Bill Casselman holds a doctorate from Princeton University for his work on automorphic forms. He is currently Professor of Mathematics at the University of British Columbia. Additionally, he is the technical editor of the online collected works of Robert Langlands and the Graphics Editor of NOTICES of the American Mathematical Society.

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