How important were reprints of scientific articles in scientific practice and communications before the the copier, the computer and the internet?
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I do not think anything changed between 1900 and the spread of computers. The normal practice with mathematical journals was this: he journal offered to the authors certain number of free reprints, plus additional ones could be purchased. This number varied, usually from 0 to 100, sometimes more. Typical in the 1970s was 50. The author would send them to other mathematicians who on his/her opinion might be interested. Some of them would be sent to libraries. On the other hand, anyone interested in having a particular paper would send a postcard to the author, asking for a reprint. I have in my collection reprints of early 20th century mathematicians, including Poincare, but I cannot trace completely the way how they come to me. Some were discarded by libraries, some passed as inheritance from mathematicians who retired or died, together with some books.
Many mathematicians did not care to send their reprints (an in many cases there were too many), so they usually lied in piles in their offices and every visitor could take them. Myself I discarded all my reprints in the early 90s, leaving one copy of each.
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