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The following sources are from a variety of web sites. The authors name is a link to the original source. I have made a bibliography available if you would like to take a look at it rather than going to the various external links.
Credentials: David Singmaster, who identified himself as a "Professor of Mathematics and Metagrobologist" from Southbank University, London. Date of web page 1997.
"Anyone who studied typing in school knows that you put two spaces after a period in order to improve legibility. Unfortunately, most people who now use word processors have never studied typing!!"
If you have the time and opportunity to read the reactions to his statement I am sure you will see the folly of his way. I listed one of the more interesting rebuttles to Mr. Singmaster's thinking below Philip Schuler quoted:
"Professor Singmaster confuses typing with typography. Consider these guidelines from Robert Bringhurst's "The Elements of Typographical Style" (Vancouver: Hartley and Marks; 1992), pp.28-30:
"In the nineteenth century, which was a dark and inflationary age in typography and type design, many compositors were encouraged to stuff extra space between sentences. Generations of twentieth-century typists were then taught to do the same, by hitting the spacebar twice after every period. Your typing as well as your typesetting will benefit from unlearning this quaint Victorian habit."
Modern Language Association (MLA)
Credentials: We all know their credentials (if you don't you should). Date of web page 1998.
"How many spaces should I leave after a period or other concluding mark of punctuation?
Publications in the United States today usually have the same spacing after a punctuation mark as between words on the same line. Since word processors make available the same fonts used by typesetters for printed works, many writers, influenced by the look of typeset publications, now leave only one space after a concluding punctuation mark. In addition, most publishers' guidelines for preparing a manuscript on disk ask authors to type only the spaces that are to appear in print. Because it is increasingly common for papers and manuscripts to be prepared with a single space after all punctuation marks, this spacing is shown in the examples in the MLA Handbook and the MLA Style Manual. As a practical matter, however, there is nothing wrong with using two spaces after concluding punctuation marks unless an instructor or editor requests that you do otherwise."