Graphs and Sketches

  • Martin Goldstein
  • Inge Goldstein


Science is concerned, among other things, with relationships between quantities. Sometimes the relationship is only vaguely stated: Is A bigger than B? Other times it can be precisely formulated: The gravitational force between two bodies is proportional to the product of their masses, and decreases as the square of the distance between them. Statements of the latter kind can best be described in the language of mathematics, but the language of mathematics has few native speakers. There is often no choice but to use it whether we like it or not, but sometimes the relationship embodied in an equation can be understood more easily when represented by a picture. Indeed at times a picture is better than an equation, even for the mathematically minded.


Particulate Concentration Sulfur Dioxide United States Population Simple Pendulum Hand Calculator 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Reference Notes

  1. 1.
    John Paxton, ed. The Statesman’s Yearbook 1978–79 (New York: St. Martin’s Press, 1978).Google Scholar
  2. 2.
    The World Almanac and Book of Facts, 1983 (New York: Newspaper Enterprise Associates, 1983).Google Scholar
  3. 3.
    U.S. Bureau of The Census, Statistical Abstract of the United States, 1982–83, 103rd Edition (Washington, D.C., 1982).Google Scholar
  4. 4.
    Frank E. Speiser, Benjamin Ferris, Jr., Yvonne M. M. Bishop, and John Spengler, “Respiratory Disease Rates and Pulmonary Function in Children Associated with NO2 Exposure.”American Review of Respiratory Disease 121 (1980): pp. 3–10.Google Scholar
  5. 5.
    Department of Air Resources, New York City Data Report, Aerometric Network, 1957–1968 (New York: Department of Environmental Protection, 1968).Google Scholar

Suggested Reading

  1. Jacques Bertin, Semiology of Graphics (Madison: University of Wisconsin Press, 1983).Google Scholar

Copyright information

© Springer Science+Business Media New York 1984

Authors and Affiliations

  • Martin Goldstein
    • 1
  • Inge Goldstein
    • 2
  1. 1.Yeshiva UniversityNew YorkUSA
  2. 2.Columbia UniversityNew YorkUSA

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